1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // |
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27 | // $Id: G4QNuENuclearCrossSection.cc,v 1.1 2009/11/16 18:15:43 mkossov Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-03-cand-01 $ |
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29 | // |
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30 | // |
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31 | // G4 Physics class: G4QNuENuclearCrossSection for A(nu_e,e-) cross sections |
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32 | // Created: M.V. Kossov, CERN/ITEP(Moscow), 24-SEP-2007 |
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33 | // The last update: M.V. Kossov, CERN/ITEP (Moscow) 24-SEP-2007 |
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34 | // |
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35 | // **************************************************************************************** |
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36 | // ********** This CLASS is temporary moved from the photolepton_hadron directory ********* |
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37 | // ******* DO NOT MAKE ANY CHANGE! With time it'll move back to photolepton...(M.K.) ****** |
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38 | // **************************************************************************************** |
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39 | //========================================================================================= |
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40 | |
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41 | //#define debug |
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42 | //#define edebug |
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43 | //#define pdebug |
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44 | //#define ppdebug |
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45 | //#define tdebug |
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46 | //#define sdebug |
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47 | |
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48 | #include "G4QNuENuclearCrossSection.hh" |
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49 | |
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50 | // Initialization of the |
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51 | G4bool G4QNuENuclearCrossSection::onlyCS=true;// Flag to calculate only CS (not QE) |
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52 | G4double G4QNuENuclearCrossSection::lastSig=0.;// Last calculated total cross section |
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53 | G4double G4QNuENuclearCrossSection::lastQEL=0.;// Last calculated quasi-el. cross section |
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54 | G4int G4QNuENuclearCrossSection::lastL=0; // Last used in cross section TheLastBin |
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55 | G4double G4QNuENuclearCrossSection::lastE=0.; // Last used in cross section TheEnergy |
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56 | G4double* G4QNuENuclearCrossSection::lastEN=0; // Pointer to the Energy Scale of TX & QE |
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57 | G4double* G4QNuENuclearCrossSection::lastTX=0; // Pointer to the LastArray of TX function |
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58 | G4double* G4QNuENuclearCrossSection::lastQE=0; // Pointer to the LastArray of QE function |
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59 | G4int G4QNuENuclearCrossSection::lastPDG=0; // The last PDG code of the projectile |
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60 | G4int G4QNuENuclearCrossSection::lastN=0; // The last N of calculated nucleus |
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61 | G4int G4QNuENuclearCrossSection::lastZ=0; // The last Z of calculated nucleus |
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62 | G4double G4QNuENuclearCrossSection::lastP=0.; // Last used in cross section Momentum |
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63 | G4double G4QNuENuclearCrossSection::lastTH=0.; // Last threshold momentum |
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64 | G4double G4QNuENuclearCrossSection::lastCS=0.; // Last value of the Cross Section |
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65 | G4int G4QNuENuclearCrossSection::lastI=0; // The last position in the DAMDB |
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66 | std::vector<G4double*>* G4QNuENuclearCrossSection::TX = new std::vector<G4double*>; |
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67 | std::vector<G4double*>* G4QNuENuclearCrossSection::QE = new std::vector<G4double*>; |
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68 | |
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69 | // Returns Pointer to the G4VQCrossSection class |
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70 | G4VQCrossSection* G4QNuENuclearCrossSection::GetPointer() |
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71 | { |
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72 | static G4QNuENuclearCrossSection theCrossSection; //**Static body of the Cross Section** |
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73 | return &theCrossSection; |
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74 | } |
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75 | |
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76 | G4QNuENuclearCrossSection::~G4QNuENuclearCrossSection() |
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77 | { |
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78 | G4int lens=TX->size(); |
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79 | for(G4int i=0; i<lens; ++i) delete[] (*TX)[i]; |
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80 | delete TX; |
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81 | G4int hens=QE->size(); |
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82 | for(G4int i=0; i<hens; ++i) delete[] (*QE)[i]; |
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83 | delete QE; |
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84 | } |
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85 | |
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86 | // The main member function giving the collision cross section (P is in IU, CS is in mb) |
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87 | // Make pMom in independent units ! (Now it is MeV) |
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88 | G4double G4QNuENuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom, |
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89 | G4int tgZ, G4int tgN, G4int pPDG) |
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90 | { |
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91 | static G4int j; // A#0f records found in DB for this projectile |
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92 | static std::vector <G4int> colPDG;// Vector of the projectile PDG code |
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93 | static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops) |
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94 | static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops) |
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95 | static std::vector <G4double> colP; // Vector of last momenta for the reaction |
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96 | static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction |
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97 | static std::vector <G4double> colCS; // Vector of last cross sections for the reaction |
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98 | // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---*** |
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99 | G4double pEn=pMom; |
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100 | #ifdef debug |
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101 | G4cout<<"G4QNENCS::GetCS:>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN |
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102 | <<"("<<lastN<<"),PDG="<<pPDG<<"("<<lastPDG<<"), T="<<pEn<<"("<<lastTH<<")"<<",Sz=" |
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103 | <<colN.size()<<G4endl; |
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104 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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105 | #endif |
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106 | if(pPDG!=12) |
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107 | { |
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108 | #ifdef debug |
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109 | G4cout<<"G4QNENCS::GetCS: *** Found pPDG="<<pPDG<<" ====> CS=0"<<G4endl; |
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110 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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111 | #endif |
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112 | return 0.; // projectile PDG=0 is a mistake (?!) @@ |
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113 | } |
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114 | G4bool in=false; // By default the isotope must be found in the AMDB |
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115 | if(tgN!=lastN || tgZ!=lastZ || pPDG!=lastPDG)// The nucleus was not the last used isotope |
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116 | { |
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117 | in = false; // By default the isotope haven't be found in AMDB |
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118 | lastP = 0.; // New momentum history (nothing to compare with) |
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119 | lastPDG = pPDG; // The last PDG of the projectile |
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120 | lastN = tgN; // The last N of the calculated nucleus |
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121 | lastZ = tgZ; // The last Z of the calculated nucleus |
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122 | lastI = colN.size(); // Size of the Associative Memory DB in the heap |
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123 | j = 0; // A#0f records found in DB for this projectile |
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124 | if(lastI) for(G4int i=0; i<lastI; i++) if(colPDG[i]==pPDG) // The partType is found |
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125 | { // The nucleus with projPDG is found in AMDB |
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126 | if(colN[i]==tgN && colZ[i]==tgZ) |
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127 | { |
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128 | lastI=i; |
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129 | lastTH =colTH[i]; // Last THreshold (A-dependent) |
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130 | #ifdef pdebug |
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131 | G4cout<<"G4QNENCS::GetCS:*Found*P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl; |
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132 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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133 | #endif |
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134 | if(pEn<=lastTH) |
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135 | { |
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136 | #ifdef pdebug |
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137 | G4cout<<"G4QNENCS::GetCS:Found T="<<pEn<<" < Threshold="<<lastTH<<",X=0"<<G4endl; |
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138 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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139 | #endif |
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140 | return 0.; // Energy is below the Threshold value |
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141 | } |
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142 | lastP =colP [i]; // Last Momentum (A-dependent) |
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143 | lastCS =colCS[i]; // Last CrossSect (A-dependent) |
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144 | if(std::fabs(lastP/pMom-1.)<tolerance) |
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145 | { |
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146 | #ifdef pdebug |
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147 | G4cout<<"G4QNENCS::GetCS:P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl; |
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148 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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149 | #endif |
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150 | return lastCS*millibarn; // Use theLastCS |
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151 | } |
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152 | in = true; // This is the case when the isotop is found in DB |
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153 | // Momentum pMom is in IU ! @@ Units |
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154 | #ifdef pdebug |
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155 | G4cout<<"G4QNENCS::G:UpdaDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl; |
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156 | #endif |
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157 | lastCS=CalculateCrossSection(fCS,-1,j,lastPDG,lastZ,lastN,pMom); // read & update |
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158 | #ifdef pdebug |
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159 | G4cout<<"G4QNENCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl; |
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160 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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161 | #endif |
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162 | if(lastCS<=0. && pEn>lastTH) // Correct the threshold |
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163 | { |
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164 | #ifdef pdebug |
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165 | G4cout<<"G4QNENCS::GetCS: New T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl; |
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166 | #endif |
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167 | lastTH=pEn; |
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168 | } |
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169 | break; // Go out of the LOOP |
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170 | } |
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171 | #ifdef pdebug |
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172 | G4cout<<"---G4QNENCrossSec::GetCrosSec:pPDG="<<pPDG<<",j="<<j<<",N="<<colN[i] |
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173 | <<",Z["<<i<<"]="<<colZ[i]<<",cPDG="<<colPDG[i]<<G4endl; |
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174 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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175 | #endif |
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176 | j++; // Increment a#0f records found in DB for this pPDG |
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177 | } |
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178 | if(!in) // This nucleus has not been calculated previously |
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179 | { |
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180 | #ifdef pdebug |
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181 | G4cout<<"G4QNENCS::GetCrSec: CalcNew P="<<pMom<<",f="<<fCS<<",lastI="<<lastI<<G4endl; |
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182 | #endif |
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183 | //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU) |
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184 | lastCS=CalculateCrossSection(fCS,0,j,lastPDG,lastZ,lastN,pMom); //calculate & create |
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185 | if(lastCS<=0.) |
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186 | { |
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187 | lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last |
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188 | #ifdef pdebug |
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189 | G4cout<<"G4QNENCrossSection::GetCrossSect:NewThresh="<<lastTH<<",T="<<pEn<<G4endl; |
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190 | #endif |
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191 | if(pEn>lastTH) |
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192 | { |
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193 | #ifdef pdebug |
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194 | G4cout<<"G4QNENCS::GetCS: First T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl; |
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195 | #endif |
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196 | lastTH=pEn; |
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197 | } |
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198 | } |
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199 | #ifdef pdebug |
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200 | G4cout<<"G4QNENCS::GetCrosSec:New CS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl; |
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201 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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202 | #endif |
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203 | colN.push_back(tgN); |
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204 | colZ.push_back(tgZ); |
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205 | colPDG.push_back(pPDG); |
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206 | colP.push_back(pMom); |
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207 | colTH.push_back(lastTH); |
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208 | colCS.push_back(lastCS); |
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209 | #ifdef pdebug |
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210 | G4cout<<"G4QNENCS::GetCS:1st,P="<<pMom<<"(MeV),X="<<lastCS*millibarn<<"(mb)"<<G4endl; |
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211 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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212 | #endif |
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213 | return lastCS*millibarn; |
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214 | } // End of creation of the new set of parameters |
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215 | else |
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216 | { |
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217 | #ifdef pdebug |
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218 | G4cout<<"G4QNENCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl; |
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219 | #endif |
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220 | colP[lastI]=pMom; |
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221 | colPDG[lastI]=pPDG; |
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222 | colCS[lastI]=lastCS; |
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223 | } |
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224 | } // End of parameters udate |
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225 | else if(pEn<=lastTH) |
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226 | { |
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227 | #ifdef pdebug |
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228 | G4cout<<"G4QNENCS::GetCS: Current T="<<pEn<<" < Threshold="<<lastTH<<", CS=0"<<G4endl; |
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229 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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230 | #endif |
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231 | return 0.; // Momentum is below the Threshold Value -> CS=0 |
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232 | } |
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233 | else if(std::fabs(lastP/pMom-1.)<tolerance) |
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234 | { |
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235 | #ifdef pdebug |
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236 | G4cout<<"G4QNENCS::GetCS:OldCur P="<<pMom<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl; |
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237 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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238 | #endif |
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239 | return lastCS*millibarn; // Use theLastCS |
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240 | } |
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241 | else |
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242 | { |
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243 | #ifdef pdebug |
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244 | G4cout<<"G4QNENCS::GetCS:UpdaCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl; |
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245 | #endif |
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246 | lastCS=CalculateCrossSection(fCS,1,j,lastPDG,lastZ,lastN,pMom); // Only UpdateDB |
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247 | lastP=pMom; |
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248 | } |
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249 | #ifdef pdebug |
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250 | G4cout<<"G4QNENCS::GetCrSec:End,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl; |
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251 | //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST |
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252 | #endif |
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253 | return lastCS*millibarn; |
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254 | } |
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255 | |
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256 | // Gives the threshold energy = the same for all nuclei (@@ can be reduced for hevy nuclei) |
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257 | G4double G4QNuENuclearCrossSection::ThresholdEnergy(G4int Z, G4int N, G4int) |
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258 | { |
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259 | //static const G4double mNeut = G4NucleiProperties::GetNuclearMass(1,0)/GeV; |
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260 | //static const G4double mProt = G4NucleiProperties::GetNuclearMass(1,1)/GeV; |
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261 | //static const G4double mDeut = G4NucleiProperties::GetNuclearMass(2,1)/GeV/2.; |
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262 | static const G4double mN=.931494043;// Nucleon mass (inside nucleus, AtomicMassUnit, GeV) |
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263 | static const G4double dmN=mN+mN; // Doubled nucleon mass (2*AtomicMassUnit, GeV) |
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264 | static const G4double me=.00051099892; // electron mass in GeV |
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265 | static const G4double me2=me*me; // Squared mass of an electron in GeV^2 |
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266 | static const G4double thresh=me+me2/dmN; // Universal threshold in GeV |
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267 | // --------- |
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268 | //static const G4double infEn = 9.e27; |
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269 | G4double dN=0.; |
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270 | if(Z>0||N>0) dN=thresh*GeV; // @@ if upgraded, change it in a total cross section |
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271 | //@@ "dN=me+me2/G4NucleiProperties::GetNuclearMass(<G4double>(Z+N),<G4double>(Z)/GeV" |
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272 | return dN; |
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273 | } |
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274 | |
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275 | // The main member function giving the gamma-A cross section (E_kin in MeV, CS in mb) |
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276 | G4double G4QNuENuclearCrossSection::CalculateCrossSection(G4bool CS, G4int F, G4int I, |
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277 | G4int, G4int targZ, G4int targN, G4double Momentum) |
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278 | { |
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279 | static const G4double mb38=1.E-11; // Conversion 10^-38 cm^2 to mb=10^-27 cm^2 |
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280 | static const G4int nE=65; // !! If change this, change it in GetFunctions()33/65!! |
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281 | static const G4int mL=nE-1; |
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282 | static const G4double mN=.931494043;// Nucleon mass (inside nucleus, AtomicMassUnit, GeV) |
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283 | static const G4double dmN=mN+mN; // Doubled nucleon mass (2*AtomicMassUnit, GeV) |
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284 | static const G4double me=.00051099892;// electron mass in GeV |
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285 | static const G4double me2=me*me; // Squared mass of an electron in GeV^2 |
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286 | static const G4double EMi=me+me2/dmN; // Universal threshold of the reaction in GeV |
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287 | static const G4double EMa=300.; // Maximum tabulated Energy of nu_e in GeV |
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288 | // *** Begin of the Associative memory for acceleration of the cross section calculations |
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289 | static std::vector <G4double> colH;//?? Vector of HighEnergyCoefficients (functional) |
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290 | static G4bool first=true; // Flag of initialization of the energy axis |
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291 | // *** End of Static Definitions (Associative Memory) *** |
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292 | //const G4double Energy = aPart->GetKineticEnergy()/MeV; // Energy of the Electron |
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293 | //G4double TotEnergy2=Momentum; |
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294 | onlyCS=CS; // Flag to calculate only CS (not TX & QE) |
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295 | lastE=Momentum/GeV; // Kinetic energy of the electron neutrino (in GeV) |
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296 | if (lastE<=EMi) // Energy is below the minimum energy in the table |
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297 | { |
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298 | lastE=0.; |
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299 | lastSig=0.; |
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300 | return 0.; |
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301 | } |
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302 | G4int Z=targZ; // New Z, which can change the sign |
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303 | if(F<=0) // This isotope was not the last used isotop |
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304 | { |
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305 | if(F<0) // This isotope was found in DAMDB =========> RETRIEVE |
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306 | { |
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307 | lastTX =(*TX)[I]; // Pointer to the prepared TX function (same isotope) |
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308 | lastQE =(*QE)[I]; // Pointer to the prepared QE function (same isotope) |
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309 | } |
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310 | else // This isotope wasn't calculated previously => CREATE |
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311 | { |
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312 | if(first) |
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313 | { |
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314 | lastEN = new G4double[nE]; // This must be done only once! |
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315 | Z=-Z; // To explain GetFunctions that E-axis must be filled |
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316 | first=false; // To make it only once |
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317 | } |
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318 | lastTX = new G4double[nE]; // Allocate memory for the new TX function |
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319 | lastQE = new G4double[nE]; // Allocate memory for the new QE function |
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320 | G4int res=GetFunctions(Z,targN,lastTX,lastQE,lastEN);//@@analize(0=first,-1=bad,1=OK) |
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321 | if(res<0) G4cerr<<"*W*G4NuENuclearCS::CalcCrossSect:Bad Function Retrieve"<<G4endl; |
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322 | // *** The synchronization check *** |
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323 | G4int sync=TX->size(); |
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324 | if(sync!=I) G4cerr<<"***G4NuENuclearCS::CalcCrossSect:Sync.="<<sync<<"#"<<I<<G4endl; |
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325 | TX->push_back(lastTX); |
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326 | QE->push_back(lastQE); |
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327 | } // End of creation of the new set of parameters |
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328 | } // End of parameters udate |
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329 | // ============================== NOW Calculate the Cross Section ===================== |
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330 | if (lastE<=EMi) // Check that the neutrinoEnergy is higher than ThreshE |
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331 | { |
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332 | lastE=0.; |
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333 | lastSig=0.; |
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334 | return 0.; |
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335 | } |
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336 | if(lastE<EMa) // Linear fit is made explicitly to fix the last bin for the randomization |
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337 | { |
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338 | G4int chk=1; |
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339 | G4int ran=mL/2; |
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340 | G4int sep=ran; // as a result = an index of the left edge of the interval |
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341 | while(ran>=2) |
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342 | { |
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343 | G4int newran=ran/2; |
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344 | if(lastE<=lastEN[sep]) sep-=newran; |
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345 | else sep+=newran; |
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346 | ran=newran; |
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347 | chk=chk+chk; |
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348 | } |
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349 | if(chk+chk!=mL) G4cerr<<"*Warn*G4NuENuclearCS::CalcCS:Table! mL="<<mL<<G4endl; |
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350 | G4double lowE=lastEN[sep]; |
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351 | G4double highE=lastEN[sep+1]; |
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352 | G4double lowTX=lastTX[sep]; |
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353 | if(lastE<lowE||sep>=mL||lastE>highE) |
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354 | G4cerr<<"*Warn*G4NuENuclearCS::CalcCS:Bin! "<<lowE<<" < "<<lastE<<" < "<<highE |
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355 | <<", sep="<<sep<<", mL="<<mL<<G4endl; |
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356 | lastSig=lastE*(lastE-lowE)*(lastTX[sep+1]-lowTX)/(highE-lowE)+lowTX; // Recover *E |
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357 | if(!onlyCS) // Skip the differential cross-section parameters |
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358 | { |
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359 | G4double lowQE=lastQE[sep]; |
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360 | lastQEL=(lastE-lowE)*(lastQE[sep+1]-lowQE)/(highE-lowE)+lowQE; |
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361 | #ifdef pdebug |
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362 | G4cout<<"G4NuENuclearCS::CalcCS: T="<<lastSig<<",Q="<<lastQEL<<",E="<<lastE<<G4endl; |
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363 | #endif |
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364 | } |
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365 | } |
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366 | else |
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367 | { |
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368 | lastSig=lastTX[mL]; // @@ No extrapolation, just a const, while it looks shrinking... |
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369 | lastQEL=lastQE[mL]; |
---|
370 | } |
---|
371 | if(lastQEL<0.) lastQEL = 0.; |
---|
372 | if(lastSig<0.) lastSig = 0.; |
---|
373 | // The cross-sections are expected to be in mb |
---|
374 | lastSig*=mb38; |
---|
375 | if(!onlyCS) lastQEL*=mb38; |
---|
376 | return lastSig; |
---|
377 | } |
---|
378 | |
---|
379 | // Calculate the cros-section functions |
---|
380 | // **************************************************************************************** |
---|
381 | // *** This tables are the same for all lepto-nuclear reactions, only mass is different *** |
---|
382 | // ***@@ IT'S REASONABLE TO MAKE ADDiTIONAL VIRTUAL CLASS FOR LEPTO-NUCLEAR WITH THIS@@ *** |
---|
383 | // **************************************************************************************** |
---|
384 | G4int G4QNuENuclearCrossSection::GetFunctions(G4int z, G4int n, |
---|
385 | G4double* t, G4double* q, G4double* e) |
---|
386 | { |
---|
387 | static const G4double mN=.931494043;// Nucleon mass (inside nucleus, AtomicMassUnit, GeV) |
---|
388 | static const G4double dmN=mN+mN; // Doubled nucleon mass (2*AtomicMassUnit, GeV) |
---|
389 | static const G4double me=.00051099892; // electron mass in GeV |
---|
390 | static const G4double me2=me*me; // Squared mass of an electron in GeV^2 |
---|
391 | static const G4double thresh=me+me2/dmN; // Universal threshold in GeV |
---|
392 | static const G4int nE=65; // !! If change this, change it in CalculateCrossSection() !! |
---|
393 | static const G4double nuEn[nE]={thresh, |
---|
394 | .00051331,.00053602,.00056078,.00058783,.00061743,.00064990,.00068559,.00072492, |
---|
395 | .00076834,.00081641,.00086975,.00092912,.00099536,.00106950,.00115273,.00124646, |
---|
396 | .00135235,.00147241,.00160901,.00176503,.00194392,.00214986,.00238797,.00266448, |
---|
397 | .00298709,.00336531,.00381094,.00433879,.00496745,.00572047,.00662785,.00772806, |
---|
398 | .00907075,.01072050,.01276190,.01530660,.01850330,.02255110,.02771990,.03437780, |
---|
399 | .04303240,.05438970,.06944210,.08959920,.11688400,.15423600,.20597200,.27851200, |
---|
400 | .38153100,.52979600,.74616300,1.0665200,1.5480900,2.2834800,3.4251100,5.2281000, |
---|
401 | 8.1270200,12.875900,20.808500,34.331200,57.877800,99.796200,176.16300,318.68200}; |
---|
402 | static const G4double TOTX[nE]={0., |
---|
403 | .00047551,.00162896,.00232785,.00292938,.00349456,.00404939,.00460908,.00518455, |
---|
404 | .00578488,.00641848,.00709376,.00781964,.00860585,.00946334,.01040460,.01144420, |
---|
405 | .01259910,.01388920,.01533830,.01697480,.01883260,.02095280,.02338500,.02618960, |
---|
406 | .02944060,.03322870,.03766580,.04289050,.04907540,.06123530,.07521120,.09034730, |
---|
407 | .10803800,.12856800,.15277600,.18174900,.21764300,.26083100,.31424900,.37935600, |
---|
408 | .45871900,.55375100,.66506600,.79039400,.92276600,1.0489000,1.1500300,1.2071700, |
---|
409 | 1.2096800,1.1612200,1.0782900,.98251100,.89137400,.81472700,.75500100,.71061200, |
---|
410 | .67873900,.65619000,.64098400,.63085100,.62389900,.61664900,.61261000,.60635700}; |
---|
411 | static const G4double QELX[nE]={0., |
---|
412 | 2.44084e-7,8.73147e-7,1.30540e-6,1.72196e-6,2.15765e-6,2.63171e-6,3.15996e-6,3.75836e-6, |
---|
413 | 4.44474e-6,5.24008e-6,6.16982e-6,7.26537e-6,8.56595e-6,1.01211e-5,1.19937e-5,1.42647e-5, |
---|
414 | 1.70384e-5,2.04506e-5,2.46796e-5,2.99611e-5,3.66090e-5,4.50456e-5,5.58425e-5,6.97817e-5, |
---|
415 | 8.79417e-5,.000111825,.000143542,.000186093,.000243780,.000350295,.000498489,.000698209, |
---|
416 | .000979989,.001378320,.001949710,.002781960,.004027110,.005882030,.008710940,.013041400, |
---|
417 | .019739800,.030118300,.046183600,.070818700,.107857000,.161778000,.236873000,.336212000, |
---|
418 | .455841000,.565128000,.647837000,.701208000,.729735000,.742062000,.746495000,.748182000, |
---|
419 | .749481000,.750637000,.751471000,.752237000,.752763000,.753103000,.753159000,.753315000}; |
---|
420 | |
---|
421 | // -------------------------------- |
---|
422 | G4int first=0; |
---|
423 | if(z<0.) |
---|
424 | { |
---|
425 | first=1; |
---|
426 | z=-z; |
---|
427 | } |
---|
428 | if(z<1 || z>92) // neutron and plutonium are forbidden |
---|
429 | { |
---|
430 | G4cout<<"***G4QNuENuclearCrossSection::GetFunctions:Z="<<z<<".No CS returned"<<G4endl; |
---|
431 | return -1; |
---|
432 | } |
---|
433 | for(G4int k=0; k<nE; k++) |
---|
434 | { |
---|
435 | G4double a=n+z; |
---|
436 | G4double na=n+a; |
---|
437 | G4double dn=n+n; |
---|
438 | G4double da=a+a; |
---|
439 | G4double ta=da+a; |
---|
440 | if(first) e[k]=nuEn[k]; // Energy of neutrino E (first bin k=0 can be modified) |
---|
441 | t[k]=TOTX[k]*nuEn[k]*(na+na)/ta+QELX[k]*(dn+dn-da)/ta; // TotalCrossSection |
---|
442 | q[k]=QELX[k]*dn/a; // QuasiElasticCrossSection |
---|
443 | } |
---|
444 | return first; |
---|
445 | } |
---|
446 | |
---|
447 | // Randomize Q2 from neutrino to the scattered electron when scattering is quasi-elastic |
---|
448 | G4double G4QNuENuclearCrossSection::GetQEL_ExchangeQ2() |
---|
449 | { |
---|
450 | static const G4double me=.00051099892; // electron mass in GeV |
---|
451 | static const G4double me2=me*me; // Squared mass of an electron in GeV^2 |
---|
452 | static const G4double hme2=me2/2; // .5*m_e^2 in GeV^2 |
---|
453 | static const G4double MN=.931494043; // Nucleon mass (inside nucleus, atomicMassUnit,GeV) |
---|
454 | static const double MN2=MN*MN; // M_N^2 in GeV^2 |
---|
455 | static const G4double power=-3.5; // direct power for the magic variable |
---|
456 | static const G4double pconv=1./power;// conversion power for the magic variable |
---|
457 | static const G4int nQ2=101; // #Of point in the Q2l table (in GeV^2) |
---|
458 | static const G4int lQ2=nQ2-1; // index of the last in the Q2l table |
---|
459 | static const G4int bQ2=lQ2-1; // index of the before last in the Q2 ltable |
---|
460 | // Reversed table |
---|
461 | static const G4double Xl[nQ2]={1.87905e-10, |
---|
462 | .005231, .010602, .016192, .022038, .028146, .034513, .041130, .047986, .055071, .062374, |
---|
463 | .069883, .077587, .085475, .093539, .101766, .110150, .118680, .127348, .136147, .145069, |
---|
464 | .154107, .163255, .172506, .181855, .191296, .200825, .210435, .220124, .229886, .239718, |
---|
465 | .249617, .259578, .269598, .279675, .289805, .299986, .310215, .320490, .330808, .341169, |
---|
466 | .351568, .362006, .372479, .382987, .393527, .404099, .414700, .425330, .435987, .446670, |
---|
467 | .457379, .468111, .478866, .489643, .500441, .511260, .522097, .532954, .543828, .554720, |
---|
468 | .565628, .576553, .587492, .598447, .609416, .620398, .631394, .642403, .653424, .664457, |
---|
469 | .675502, .686557, .697624, .708701, .719788, .730886, .741992, .753108, .764233, .775366, |
---|
470 | .786508, .797658, .808816, .819982, .831155, .842336, .853524, .864718, .875920, .887128, |
---|
471 | .898342, .909563, .920790, .932023, .943261, .954506, .965755, .977011, .988271, .999539}; |
---|
472 | // Direct table |
---|
473 | static const G4double Xmax=Xl[lQ2]; |
---|
474 | static const G4double Xmin=Xl[0]; |
---|
475 | static const G4double dX=(Xmax-Xmin)/lQ2; // step in X(Q2, GeV^2) |
---|
476 | static const G4double inl[nQ2]={0, |
---|
477 | 1.88843, 3.65455, 5.29282, 6.82878, 8.28390, 9.67403, 11.0109, 12.3034, 13.5583, 14.7811, |
---|
478 | 15.9760, 17.1466, 18.2958, 19.4260, 20.5392, 21.6372, 22.7215, 23.7933, 24.8538, 25.9039, |
---|
479 | 26.9446, 27.9766, 29.0006, 30.0171, 31.0268, 32.0301, 33.0274, 34.0192, 35.0058, 35.9876, |
---|
480 | 36.9649, 37.9379, 38.9069, 39.8721, 40.8337, 41.7920, 42.7471, 43.6992, 44.6484, 45.5950, |
---|
481 | 46.5390, 47.4805, 48.4197, 49.3567, 50.2916, 51.2245, 52.1554, 53.0846, 54.0120, 54.9377, |
---|
482 | 55.8617, 56.7843, 57.7054, 58.6250, 59.5433, 60.4603, 61.3761, 62.2906, 63.2040, 64.1162, |
---|
483 | 65.0274, 65.9375, 66.8467, 67.7548, 68.6621, 69.5684, 70.4738, 71.3784, 72.2822, 73.1852, |
---|
484 | 74.0875, 74.9889, 75.8897, 76.7898, 77.6892, 78.5879, 79.4860, 80.3835, 81.2804, 82.1767, |
---|
485 | 83.0724, 83.9676, 84.8622, 85.7563, 86.6499, 87.5430, 88.4356, 89.3277, 90.2194, 91.1106, |
---|
486 | 92.0013, 92.8917, 93.7816, 94.6711, 95.5602, 96.4489, 97.3372, 98.2252, 99.1128, 100.000}; |
---|
487 | G4double Enu=lastE; // Get energy of the last calculated cross-section |
---|
488 | G4double dEnu=Enu+Enu; // doubled energy of nu/anu |
---|
489 | G4double Enu2=Enu*Enu; // squared energy of nu/anu |
---|
490 | G4double ME=Enu*MN; // M*E |
---|
491 | G4double dME=ME+ME; // 2*M*E |
---|
492 | G4double dEMN=(dEnu+MN)*ME; |
---|
493 | G4double MEm=ME-hme2; |
---|
494 | G4double sqE=Enu*std::sqrt(MEm*MEm-me2*MN2); |
---|
495 | G4double E2M=MN*Enu2-(Enu+MN)*hme2; |
---|
496 | G4double ymax=(E2M+sqE)/dEMN; |
---|
497 | G4double ymin=(E2M-sqE)/dEMN; |
---|
498 | G4double rmin=1.-ymin; |
---|
499 | G4double rhm2E=hme2/Enu2; |
---|
500 | G4double Q2mi=(Enu2+Enu2)*(rmin-rhm2E-std::sqrt(rmin*rmin-rhm2E-rhm2E)); // Q2_min(E_nu) |
---|
501 | G4double Q2ma=dME*ymax; // Q2_max(E_nu) |
---|
502 | G4double Xma=std::pow((1.+Q2mi),power); // X_max(E_nu) |
---|
503 | G4double Xmi=std::pow((1.+Q2ma),power); // X_min(E_nu) |
---|
504 | // Find the integral values integ(Xmi) & integ(Xma) using the direct table |
---|
505 | G4double rXi=(Xmi-Xmin)/dX; |
---|
506 | G4int iXi=static_cast<int>(rXi); |
---|
507 | if(iXi<0) iXi=0; |
---|
508 | if(iXi>bQ2) iXi=bQ2; |
---|
509 | G4double dXi=rXi-iXi; |
---|
510 | G4double bnti=inl[iXi]; |
---|
511 | G4double inti=bnti+dXi*(inl[iXi+1]-bnti); |
---|
512 | // |
---|
513 | G4double rXa=(Xma-Xmin)/dX; |
---|
514 | G4int iXa=static_cast<int>(rXa); |
---|
515 | if(iXa<0) iXa=0; |
---|
516 | if(iXa>bQ2) iXa=bQ2; |
---|
517 | G4double dXa=rXa-iXa; |
---|
518 | G4double bnta=inl[iXa]; |
---|
519 | G4double inta=bnta+dXa*(inl[iXa+1]-bnta); |
---|
520 | // *** Find X using the reversed table *** |
---|
521 | G4double intx=inti+(inta-inti)*G4UniformRand(); |
---|
522 | G4int intc=static_cast<int>(intx); |
---|
523 | if(intc<0) intc=0; |
---|
524 | if(intc>bQ2) intc=bQ2; // If it is more than max, then the BAD extrapolation |
---|
525 | G4double dint=intx-intc; |
---|
526 | G4double mX=Xl[intc]; |
---|
527 | G4double X=mX+dint*(Xl[intc+1]-mX); |
---|
528 | G4double Q2=std::pow(X,pconv)-1.; |
---|
529 | return Q2*GeV*GeV; |
---|
530 | } |
---|
531 | |
---|
532 | // Randomize Q2 from neutrino to the scattered electron when scattering is not quasiElastic |
---|
533 | G4double G4QNuENuclearCrossSection::GetNQE_ExchangeQ2() |
---|
534 | { |
---|
535 | static const double mpi=.13957018; // charged pi meson mass in GeV |
---|
536 | static const G4double me=.00051099892;// electron mass in GeV |
---|
537 | static const G4double me2=me*me; // Squared mass of an electron in GeV^2 |
---|
538 | static const G4double hme2=me2/2; // .5*m_e^2 in GeV^2 |
---|
539 | static const double MN=.931494043; // Nucleon mass (inside nucleus,atomicMassUnit,GeV) |
---|
540 | static const double MN2=MN*MN; // M_N^2 in GeV^2 |
---|
541 | static const double dMN=MN+MN; // 2*M_N in GeV |
---|
542 | static const double mcV=(dMN+mpi)*mpi;// constant of W>M+mc cut for Quasi-Elastic |
---|
543 | static const G4int power=7; // direct power for the magic variable |
---|
544 | static const G4double pconv=1./power; // conversion power for the magic variable |
---|
545 | static const G4int nX=21; // #Of point in the Xl table (in GeV^2) |
---|
546 | static const G4int lX=nX-1; // index of the last in the Xl table |
---|
547 | static const G4int bX=lX-1; // @@ index of the before last in the Xl table |
---|
548 | static const G4int nE=20; // #Of point in the El table (in GeV^2) |
---|
549 | static const G4int bE=nE-1; // index of the last in the El table |
---|
550 | static const G4int pE=bE-1; // index of the before last in the El table |
---|
551 | // Reversed table |
---|
552 | static const G4double X0[nX]={6.14081e-05, |
---|
553 | .413394, .644455, .843199, 1.02623, 1.20032, 1.36916, 1.53516, 1.70008, 1.86539, 2.03244, |
---|
554 | 2.20256, 2.37723, 2.55818, 2.74762, 2.94857, 3.16550, 3.40582, 3.68379, 4.03589, 4.77419}; |
---|
555 | static const G4double X1[nX]={.00125268, |
---|
556 | .861178, 1.34230, 1.75605, 2.13704, 2.49936, 2.85072, 3.19611, 3.53921, 3.88308, 4.23049, |
---|
557 | 4.58423, 4.94735, 5.32342, 5.71700, 6.13428, 6.58447, 7.08267, 7.65782, 8.38299, 9.77330}; |
---|
558 | static const G4double X2[nX]={.015694, |
---|
559 | 1.97690, 3.07976, 4.02770, 4.90021, 5.72963, 6.53363, 7.32363, 8.10805, 8.89384, 9.68728, |
---|
560 | 10.4947, 11.3228, 12.1797, 13.0753, 14.0234, 15.0439, 16.1692, 17.4599, 19.0626, 21.7276}; |
---|
561 | static const G4double X3[nX]={.0866877, |
---|
562 | 4.03498, 6.27651, 8.20056, 9.96931, 11.6487, 13.2747, 14.8704, 16.4526, 18.0351, 19.6302, |
---|
563 | 21.2501, 22.9075, 24.6174, 26.3979, 28.2730, 30.2770, 32.4631, 34.9243, 37.8590, 41.9115}; |
---|
564 | static const G4double X4[nX]={.160483, |
---|
565 | 5.73111, 8.88884, 11.5893, 14.0636, 16.4054, 18.6651, 20.8749, 23.0578, 25.2318, 27.4127, |
---|
566 | 29.6152, 31.8540, 34.1452, 36.5074, 38.9635, 41.5435, 44.2892, 47.2638, 50.5732, 54.4265}; |
---|
567 | static const G4double X5[nX]={.0999307, |
---|
568 | 5.25720, 8.11389, 10.5375, 12.7425, 14.8152, 16.8015, 18.7296, 20.6194, 22.4855, 24.3398, |
---|
569 | 26.1924, 28.0527, 29.9295, 31.8320, 33.7699, 35.7541, 37.7975, 39.9158, 42.1290, 44.4649}; |
---|
570 | static const G4double X6[nX]={.0276367, |
---|
571 | 3.53378, 5.41553, 6.99413, 8.41629, 9.74057, 10.9978, 12.2066, 13.3796, 14.5257, 15.6519, |
---|
572 | 16.7636, 17.8651, 18.9603, 20.0527, 21.1453, 22.2411, 23.3430, 24.4538, 25.5765, 26.7148}; |
---|
573 | static const G4double X7[nX]={.00472383, |
---|
574 | 2.08253, 3.16946, 4.07178, 4.87742, 5.62140, 6.32202, 6.99034, 7.63368, 8.25720, 8.86473, |
---|
575 | 9.45921, 10.0430, 10.6179, 11.1856, 11.7475, 12.3046, 12.8581, 13.4089, 13.9577, 14.5057}; |
---|
576 | static const G4double X8[nX]={.000630783, |
---|
577 | 1.22723, 1.85845, 2.37862, 2.84022, 3.26412, 3.66122, 4.03811, 4.39910, 4.74725, 5.08480, |
---|
578 | 5.41346, 5.73457, 6.04921, 6.35828, 6.66250, 6.96250, 7.25884, 7.55197, 7.84232, 8.13037}; |
---|
579 | static const G4double X9[nX]={7.49179e-05, |
---|
580 | .772574, 1.16623, 1.48914, 1.77460, 2.03586, 2.27983, 2.51069, 2.73118, 2.94322, 3.14823, |
---|
581 | 3.34728, 3.54123, 3.73075, 3.91638, 4.09860, 4.27779, 4.45428, 4.62835, 4.80025, 4.97028}; |
---|
582 | static const G4double XA[nX]={8.43437e-06, |
---|
583 | .530035, .798454, 1.01797, 1.21156, 1.38836, 1.55313, 1.70876, 1.85712, 1.99956, 2.13704, |
---|
584 | 2.27031, 2.39994, 2.52640, 2.65007, 2.77127, 2.89026, 3.00726, 3.12248, 3.23607, 3.34823}; |
---|
585 | static const G4double XB[nX]={9.27028e-07, |
---|
586 | .395058, .594211, .756726, .899794, 1.03025, 1.15167, 1.26619, 1.37523, 1.47979, 1.58059, |
---|
587 | 1.67819, 1.77302, 1.86543, 1.95571, 2.04408, 2.13074, 2.21587, 2.29960, 2.38206, 2.46341}; |
---|
588 | static const G4double XC[nX]={1.00807e-07, |
---|
589 | .316195, .474948, .604251, .717911, .821417, .917635, 1.00829, 1.09452, 1.17712, 1.25668, |
---|
590 | 1.33364, 1.40835, 1.48108, 1.55207, 1.62150, 1.68954, 1.75631, 1.82193, 1.88650, 1.95014}; |
---|
591 | static const G4double XD[nX]={1.09102e-08, |
---|
592 | .268227, .402318, .511324, .606997, .694011, .774803, .850843, .923097, .992243, 1.05878, |
---|
593 | 1.12309, 1.18546, 1.24613, 1.30530, 1.36313, 1.41974, 1.47526, 1.52978, 1.58338, 1.63617}; |
---|
594 | static const G4double XE[nX]={1.17831e-09, |
---|
595 | .238351, .356890, .453036, .537277, .613780, .684719, .751405, .814699, .875208, .933374, |
---|
596 | .989535, 1.04396, 1.09685, 1.14838, 1.19870, 1.24792, 1.29615, 1.34347, 1.38996, 1.43571}; |
---|
597 | static const G4double XF[nX]={1.27141e-10, |
---|
598 | .219778, .328346, .416158, .492931, .562525, .626955, .687434, .744761, .799494, .852046, |
---|
599 | .902729, .951786, .999414, 1.04577, 1.09099, 1.13518, 1.17844, 1.22084, 1.26246, 1.30338}; |
---|
600 | static const G4double XG[nX]={1.3713e-11, |
---|
601 | .208748, .310948, .393310, .465121, .530069, .590078, .646306, .699515, .750239, .798870, |
---|
602 | .845707, .890982, .934882, .977559, 1.01914, 1.05973, 1.09941, 1.13827, 1.17637, 1.21379}; |
---|
603 | static const G4double XH[nX]={1.47877e-12, |
---|
604 | .203089, .301345, .380162, .448646, .510409, .567335, .620557, .670820, .718647, .764421, |
---|
605 | .808434, .850914, .892042, .931967, .970812, 1.00868, 1.04566, 1.08182, 1.11724, 1.15197}; |
---|
606 | static const G4double XI[nX]={1.59454e-13, |
---|
607 | .201466, .297453, .374007, .440245, .499779, .554489, .605506, .653573, .699213, .742806, |
---|
608 | .784643, .824952, .863912, .901672, .938353, .974060, 1.00888, 1.04288, 1.07614, 1.10872}; |
---|
609 | static const G4double XJ[nX]={1.71931e-14, |
---|
610 | .202988, .297870, .373025, .437731, .495658, .548713, .598041, .644395, .688302, .730147, |
---|
611 | .770224, .808762, .845943, .881916, .916805, .950713, .983728, 1.01592, 1.04737, 1.07813}; |
---|
612 | // Direct table |
---|
613 | static const G4double Xmin[nE]={X0[0],X1[0],X2[0],X3[0],X4[0],X5[0],X6[0],X7[0],X8[0], |
---|
614 | X9[0],XA[0],XB[0],XC[0],XD[0],XE[0],XF[0],XG[0],XH[0],XI[0],XJ[0]}; |
---|
615 | static const G4double dX[nE]={ |
---|
616 | (X0[lX]-X0[0])/lX, (X1[lX]-X1[0])/lX, (X2[lX]-X2[0])/lX, (X3[lX]-X3[0])/lX, |
---|
617 | (X4[lX]-X4[0])/lX, (X5[lX]-X5[0])/lX, (X6[lX]-X6[0])/lX, (X7[lX]-X7[0])/lX, |
---|
618 | (X8[lX]-X8[0])/lX, (X9[lX]-X9[0])/lX, (XA[lX]-XA[0])/lX, (XB[lX]-XB[0])/lX, |
---|
619 | (XC[lX]-XC[0])/lX, (XD[lX]-XD[0])/lX, (XE[lX]-XE[0])/lX, (XF[lX]-XF[0])/lX, |
---|
620 | (XG[lX]-XG[0])/lX, (XH[lX]-XH[0])/lX, (XI[lX]-XI[0])/lX, (XJ[lX]-XJ[0])/lX}; |
---|
621 | static const G4double* Xl[nE]= |
---|
622 | {X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,XA,XB,XC,XD,XE,XF,XG,XH,XI,XJ}; |
---|
623 | static const G4double I0[nX]={0, |
---|
624 | .411893, 1.25559, 2.34836, 3.60264, 4.96046, 6.37874, 7.82342, 9.26643, 10.6840, 12.0555, |
---|
625 | 13.3628, 14.5898, 15.7219, 16.7458, 17.6495, 18.4217, 19.0523, 19.5314, 19.8501, 20.0000}; |
---|
626 | static const G4double I1[nX]={0, |
---|
627 | .401573, 1.22364, 2.28998, 3.51592, 4.84533, 6.23651, 7.65645, 9.07796, 10.4780, 11.8365, |
---|
628 | 13.1360, 14.3608, 15.4967, 16.5309, 17.4516, 18.2481, 18.9102, 19.4286, 19.7946, 20.0000}; |
---|
629 | static const G4double I2[nX]={0, |
---|
630 | .387599, 1.17339, 2.19424, 3.37090, 4.65066, 5.99429, 7.37071, 8.75427, 10.1232, 11.4586, |
---|
631 | 12.7440, 13.9644, 15.1065, 16.1582, 17.1083, 17.9465, 18.6634, 19.2501, 19.6982, 20.0000}; |
---|
632 | static const G4double I3[nX]={0, |
---|
633 | .366444, 1.09391, 2.04109, 3.13769, 4.33668, 5.60291, 6.90843, 8.23014, 9.54840, 10.8461, |
---|
634 | 12.1083, 13.3216, 14.4737, 15.5536, 16.5512, 17.4573, 18.2630, 18.9603, 19.5417, 20.0000}; |
---|
635 | static const G4double I4[nX]={0, |
---|
636 | .321962, .959681, 1.79769, 2.77753, 3.85979, 5.01487, 6.21916, 7.45307, 8.69991, 9.94515, |
---|
637 | 11.1759, 12.3808, 13.5493, 14.6720, 15.7402, 16.7458, 17.6813, 18.5398, 19.3148, 20.0000}; |
---|
638 | static const G4double I5[nX]={0, |
---|
639 | .257215, .786302, 1.49611, 2.34049, 3.28823, 4.31581, 5.40439, 6.53832, 7.70422, 8.89040, |
---|
640 | 10.0865, 11.2833, 12.4723, 13.6459, 14.7969, 15.9189, 17.0058, 18.0517, 19.0515, 20.0000}; |
---|
641 | static const G4double I6[nX]={0, |
---|
642 | .201608, .638914, 1.24035, 1.97000, 2.80354, 3.72260, 4.71247, 5.76086, 6.85724, 7.99243, |
---|
643 | 9.15826, 10.3474, 11.5532, 12.7695, 13.9907, 15.2117, 16.4275, 17.6337, 18.8258, 20.0000}; |
---|
644 | static const G4double I7[nX]={0, |
---|
645 | .168110, .547208, 1.07889, 1.73403, 2.49292, 3.34065, 4.26525, 5.25674, 6.30654, 7.40717, |
---|
646 | 8.55196, 9.73492, 10.9506, 12.1940, 13.4606, 14.7460, 16.0462, 17.3576, 18.6767, 20.0000}; |
---|
647 | static const G4double I8[nX]={0, |
---|
648 | .150652, .497557, .990048, 1.60296, 2.31924, 3.12602, 4.01295, 4.97139, 5.99395, 7.07415, |
---|
649 | 8.20621, 9.38495, 10.6057, 11.8641, 13.1561, 14.4781, 15.8267, 17.1985, 18.5906, 20.0000}; |
---|
650 | static const G4double I9[nX]={0, |
---|
651 | .141449, .470633, .941304, 1.53053, 2.22280, 3.00639, 3.87189, 4.81146, 5.81837, 6.88672, |
---|
652 | 8.01128, 9.18734, 10.4106, 11.6772, 12.9835, 14.3261, 15.7019, 17.1080, 18.5415, 20.0000}; |
---|
653 | static const G4double IA[nX]={0, |
---|
654 | .136048, .454593, .912075, 1.48693, 2.16457, 2.93400, 3.78639, 4.71437, 5.71163, 6.77265, |
---|
655 | 7.89252, 9.06683, 10.2916, 11.5631, 12.8780, 14.2331, .625500, 17.0525, 18.5115, 20.0000}; |
---|
656 | static const G4double IB[nX]={0, |
---|
657 | .132316, .443455, .891741, 1.45656, 2.12399, 2.88352, 3.72674, 4.64660, 5.63711, 6.69298, |
---|
658 | 7.80955, 8.98262, 10.2084, 11.4833, 12.8042, 14.1681, 15.5721, 17.0137, 18.4905, 20.0000}; |
---|
659 | static const G4double IC[nX]={0, |
---|
660 | .129197, .434161, .874795, 1.43128, 2.09024, 2.84158, 3.67721, 4.59038, 5.57531, 6.62696, |
---|
661 | 7.74084, 8.91291, 10.1395, 11.4173, 12.7432, 14.1143, 15.5280, 16.9817, 18.4731, 20.0000}; |
---|
662 | static const G4double ID[nX]={0, |
---|
663 | .126079, .424911, .857980, 1.40626, 2.05689, 2.80020, 3.62840, 4.53504, 5.51456, 6.56212, |
---|
664 | 7.67342, 8.84458, 10.0721, 11.3527, 12.6836, 14.0618, 15.4849, 16.9504, 18.4562, 20.0000}; |
---|
665 | static const G4double IE[nX]={0, |
---|
666 | .122530, .414424, .838964, 1.37801, 2.01931, 2.75363, 3.57356, 4.47293, 5.44644, 6.48949, |
---|
667 | 7.59795, 8.76815, 9.99673, 11.2806, 12.6170, 14.0032, 15.4369, 16.9156, 18.4374, 20.0000}; |
---|
668 | static const G4double IF[nX]={0, |
---|
669 | .118199, .401651, .815838, 1.34370, 1.97370, 2.69716, 3.50710, 4.39771, 5.36401, 6.40164, |
---|
670 | 7.50673, 8.67581, 9.90572, 11.1936, 12.5367, 13.9326, 15.3790, 16.8737, 18.4146, 20.0000}; |
---|
671 | static const G4double IG[nX]={0, |
---|
672 | .112809, .385761, .787075, 1.30103, 1.91700, 2.62697, 3.42451, 4.30424, 5.26158, 6.29249, |
---|
673 | 7.39341, 8.56112, 9.79269, 11.0855, 12.4369, 13.8449, 15.3071, 16.8216, 18.3865, 20.0000}; |
---|
674 | static const G4double IH[nX]={0, |
---|
675 | .106206, .366267, .751753, 1.24859, 1.84728, 2.54062, 3.32285, .189160, 5.13543, 6.15804, |
---|
676 | 7.25377, 8.41975, 9.65334, 10.9521, 12.3139, 13.7367, 15.2184, 16.7573, 18.3517, 20.0000}; |
---|
677 | static const G4double II[nX]={0, |
---|
678 | .098419, .343194, .709850, 1.18628, 1.76430, 2.43772, 3.20159, 4.05176, 4.98467, 5.99722, |
---|
679 | 7.08663, 8.25043, 9.48633, 10.7923, 12.1663, 13.6067, 15.1118, 16.6800, 18.3099, 20.0000}; |
---|
680 | static const G4double IJ[nX]={0, |
---|
681 | .089681, .317135, .662319, 1.11536, 1.66960, 2.32002, 3.06260, 3.89397, 4.81126, 5.81196, |
---|
682 | 6.89382, 8.05483, 9.29317, 10.6072, 11.9952, 13.4560, 14.9881, 16.5902, 18.2612, 20.0000}; |
---|
683 | static const G4double* Il[nE]= |
---|
684 | {I0,I1,I2,I3,I4,I5,I6,I7,I8,I9,IA,IB,IC,ID,IE,IF,IG,IH,II,IJ}; |
---|
685 | static const G4double lE[nE]={ |
---|
686 | -1.98842,-1.58049,-1.17256,-.764638,-.356711, .051215, .459141, .867068, 1.27499, 1.68292, |
---|
687 | 2.09085, 2.49877, 2.90670, 3.31463, 3.72255, 4.13048, 4.53840, 4.94633, 5.35426, 5.76218}; |
---|
688 | static const G4double lEmi=lE[0]; |
---|
689 | static const G4double lEma=lE[nE-1]; |
---|
690 | static const G4double dlE=(lEma-lEmi)/bE; |
---|
691 | //*************************************************************************************** |
---|
692 | G4double Enu=lastE; // Get energy of the last calculated cross-section |
---|
693 | G4double lEn=std::log(Enu); // log(E) for interpolation |
---|
694 | G4double rE=(lEn-lEmi)/dlE; // Position of the energy |
---|
695 | G4int fE=static_cast<int>(rE); // Left bin for interpolation |
---|
696 | if(fE<0) fE=0; |
---|
697 | if(fE>pE)fE=pE; |
---|
698 | G4int sE=fE+1; // Right bin for interpolation |
---|
699 | G4double dE=rE-fE; // relative log shift from the left bin |
---|
700 | G4double dEnu=Enu+Enu; // doubled energy of nu/anu |
---|
701 | G4double Enu2=Enu*Enu; // squared energy of nu/anu |
---|
702 | G4double Ee=Enu-me; // Free Energy of neutrino/anti-neutrino |
---|
703 | G4double ME=Enu*MN; // M*E |
---|
704 | G4double dME=ME+ME; // 2*M*E |
---|
705 | G4double dEMN=(dEnu+MN)*ME; |
---|
706 | G4double MEm=ME-hme2; |
---|
707 | G4double sqE=Enu*std::sqrt(MEm*MEm-me2*MN2); |
---|
708 | G4double E2M=MN*Enu2-(Enu+MN)*hme2; |
---|
709 | G4double ymax=(E2M+sqE)/dEMN; |
---|
710 | G4double ymin=(E2M-sqE)/dEMN; |
---|
711 | G4double rmin=1.-ymin; |
---|
712 | G4double rhm2E=hme2/Enu2; |
---|
713 | G4double Q2mi=(Enu2+Enu2)*(rmin-rhm2E-std::sqrt(rmin*rmin-rhm2E-rhm2E)); // Q2_min(E_nu) |
---|
714 | G4double Q2ma=dME*ymax; // Q2_max(E_nu) |
---|
715 | G4double Q2nq=Ee*dMN-mcV; |
---|
716 | if(Q2ma>Q2nq) Q2ma=Q2nq; // Correction for Non Quasi Elastic |
---|
717 | // --- now r_min=Q2mi/Q2ma and r_max=1.; when r is randomized -> Q2=r*Q2ma --- |
---|
718 | G4double Rmi=Q2mi/Q2ma; |
---|
719 | G4double shift=1.+.9673/(1.+.323/Enu/Enu)/std::pow(Enu,.78); //@@ different for anti-nu |
---|
720 | // --- E-interpolation must be done in a log scale --- |
---|
721 | G4double Xmi=std::pow((shift-Rmi),power);// X_min(E_nu) |
---|
722 | G4double Xma=std::pow((shift-1.),power); // X_max(E_nu) |
---|
723 | // Find the integral values integ(Xmi) & integ(Xma) using the direct table |
---|
724 | G4double idX=dX[fE]+dE*(dX[sE]-dX[fE]); // interpolated X step |
---|
725 | G4double iXmi=Xmin[fE]+dE*(Xmin[sE]-Xmin[fE]); // interpolated X minimum |
---|
726 | G4double rXi=(Xmi-iXmi)/idX; |
---|
727 | G4int iXi=static_cast<int>(rXi); |
---|
728 | if(iXi<0) iXi=0; |
---|
729 | if(iXi>bX) iXi=bX; |
---|
730 | G4double dXi=rXi-iXi; |
---|
731 | G4double bntil=Il[fE][iXi]; |
---|
732 | G4double intil=bntil+dXi*(Il[fE][iXi+1]-bntil); |
---|
733 | G4double bntir=Il[sE][iXi]; |
---|
734 | G4double intir=bntir+dXi*(Il[sE][iXi+1]-bntir); |
---|
735 | G4double inti=intil+dE*(intir-intil);// interpolated begin of the integral |
---|
736 | // |
---|
737 | G4double rXa=(Xma-iXmi)/idX; |
---|
738 | G4int iXa=static_cast<int>(rXa); |
---|
739 | if(iXa<0) iXa=0; |
---|
740 | if(iXa>bX) iXa=bX; |
---|
741 | G4double dXa=rXa-iXa; |
---|
742 | G4double bntal=Il[fE][iXa]; |
---|
743 | G4double intal=bntal+dXa*(Il[fE][iXa+1]-bntal); |
---|
744 | G4double bntar=Il[sE][iXa]; |
---|
745 | G4double intar=bntar+dXa*(Il[sE][iXa+1]-bntar); |
---|
746 | G4double inta=intal+dE*(intar-intal);// interpolated end of the integral |
---|
747 | // |
---|
748 | // *** Find X using the reversed table *** |
---|
749 | G4double intx=inti+(inta-inti)*G4UniformRand(); |
---|
750 | G4int intc=static_cast<int>(intx); |
---|
751 | if(intc<0) intc=0; |
---|
752 | if(intc>bX) intc=bX; |
---|
753 | G4double dint=intx-intc; |
---|
754 | G4double mXl=Xl[fE][intc]; |
---|
755 | G4double Xlb=mXl+dint*(Xl[fE][intc+1]-mXl); |
---|
756 | G4double mXr=Xl[sE][intc]; |
---|
757 | G4double Xrb=mXr+dint*(Xl[sE][intc+1]-mXr); |
---|
758 | G4double X=Xlb+dE*(Xrb-Xlb); // interpolated X value |
---|
759 | G4double R=shift-std::pow(X,pconv); |
---|
760 | G4double Q2=R*Q2ma; |
---|
761 | return Q2*GeV*GeV; |
---|
762 | } |
---|
763 | |
---|
764 | // It returns a fraction of the direct interaction of the neutrino with quark-partons |
---|
765 | G4double G4QNuENuclearCrossSection::GetDirectPart(G4double Q2) |
---|
766 | { |
---|
767 | G4double f=Q2/4.62; |
---|
768 | G4double ff=f*f; |
---|
769 | G4double r=ff*ff; |
---|
770 | G4double s=std::pow((1.+.6/Q2),(-1.-(1.+r)/(12.5+r/.3))); |
---|
771 | //@@ It is the same for nu/anu, but for nu it is a bit less, and for anu a bit more (par) |
---|
772 | return 1.-s*(1.-s/2); |
---|
773 | } |
---|
774 | |
---|
775 | // #of quark-partons in the nonperturbative phase space is the same for neut and anti-neut |
---|
776 | G4double G4QNuENuclearCrossSection::GetNPartons(G4double Q2) |
---|
777 | { |
---|
778 | return 3.+.3581*std::log(1.+Q2/.04); // a#of partons in the nonperturbative phase space |
---|
779 | } |
---|
780 | |
---|
781 | // This class can provide only virtual exchange pi+ (a substitute for W+ boson) |
---|
782 | G4int G4QNuENuclearCrossSection::GetExchangePDGCode() {return 211;} |
---|