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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7 | // * conditions of the Geant4 Software License, included in the file * |
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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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16 | // * for the full disclaimer and the limitation of liability. * |
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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 | // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02 |
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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: G4QPionPlusNuclearCrossSection for gamma+A cross sections |
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32 | // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03 |
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33 | // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04 |
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34 | // -------------------------------------------------------------------------------- |
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35 | // **************************************************************************************** |
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36 | // ***** This HEADER is a property of the CHIPS hadronic package in Geant4 (M. Kosov) ***** |
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37 | // *********** DO NOT MAKE ANY CHANGE without approval of Mikhail.Kossov@cern.ch ********** |
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38 | // **************************************************************************************** |
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39 | // Short description: CHIPS cross-sections for pi(plus)-nuclear interactions |
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40 | // ------------------------------------------------------------------------------------- |
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41 | // |
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42 | //#define debug |
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43 | //#define pdebug |
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44 | //#define debug3 |
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45 | //#define debugn |
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46 | //#define debugs |
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47 | |
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48 | #include "G4QPionPlusNuclearCrossSection.hh" |
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49 | |
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50 | // Initialization of the |
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51 | G4double* G4QPionPlusNuclearCrossSection::lastLEN=0; // Pointer to lastArray of LowEn CS |
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52 | G4double* G4QPionPlusNuclearCrossSection::lastHEN=0; // Pointer to lastArray of HighEn CS |
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53 | G4int G4QPionPlusNuclearCrossSection::lastN=0; // The last N of calculated nucleus |
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54 | G4int G4QPionPlusNuclearCrossSection::lastZ=0; // The last Z of calculated nucleus |
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55 | G4double G4QPionPlusNuclearCrossSection::lastP=0.; // Last used in cross section Momentum |
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56 | G4double G4QPionPlusNuclearCrossSection::lastTH=0.; // Last threshold momentum |
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57 | G4double G4QPionPlusNuclearCrossSection::lastCS=0.; // Last value of the Cross Section |
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58 | G4int G4QPionPlusNuclearCrossSection::lastI=0; // The last position in the DAMDB |
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59 | std::vector<G4double*>* G4QPionPlusNuclearCrossSection::LEN = new std::vector<G4double*>; |
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60 | std::vector<G4double*>* G4QPionPlusNuclearCrossSection::HEN = new std::vector<G4double*>; |
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61 | |
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62 | // Returns Pointer to the G4VQCrossSection class |
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63 | G4VQCrossSection* G4QPionPlusNuclearCrossSection::GetPointer() |
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64 | { |
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65 | static G4QPionPlusNuclearCrossSection theCrossSection; //**Static body of Cross Section** |
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66 | return &theCrossSection; |
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67 | } |
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68 | |
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69 | G4QPionPlusNuclearCrossSection::~G4QPionPlusNuclearCrossSection() |
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70 | { |
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71 | G4int lens=LEN->size(); |
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72 | for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i]; |
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73 | delete LEN; |
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74 | G4int hens=HEN->size(); |
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75 | for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i]; |
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76 | delete HEN; |
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77 | } |
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78 | |
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79 | // The main member function giving the collision cross section (P is in IU, CS is in mb) |
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80 | // Make pMom in independent units ! (Now it is MeV) |
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81 | G4double G4QPionPlusNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom, |
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82 | G4int tgZ, G4int tgN, G4int PDG) |
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83 | { |
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84 | static G4double tolerance=0.001; // Tolerance (0.1%) to consider as "the same mom" |
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85 | static G4int j; // A#0f Z/N-records already tested in AMDB |
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86 | static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops) |
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87 | static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops) |
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88 | static std::vector <G4double> colP; // Vector of last momenta for the reaction |
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89 | static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction |
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90 | static std::vector <G4double> colCS; // Vector of last cross sections for the reaction |
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91 | // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---*** |
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92 | #ifdef debug |
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93 | G4cout<<"G4QPrCS::GetCS:>>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN |
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94 | <<"("<<lastN<<"),PDG=2212, thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl; |
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95 | #endif |
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96 | if(PDG!=211) G4cout<<"-Warning-G4QPionPlusCS::GetCS:**Not a PiPlus**,PDG="<<PDG<<G4endl; |
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97 | G4bool in=false; // By default the isotope must be found in the AMDB |
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98 | if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope |
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99 | { |
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100 | in = false; // By default the isotope haven't be found in AMDB |
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101 | lastP = 0.; // New momentum history (nothing to compare with) |
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102 | lastN = tgN; // The last N of the calculated nucleus |
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103 | lastZ = tgZ; // The last Z of the calculated nucleus |
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104 | lastI = colN.size(); // Size of the Associative Memory DB in the heap |
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105 | j = 0; // A#0f records found in DB for this projectile |
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106 | #ifdef debug |
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107 | G4cout<<"G4QPrCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl; |
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108 | #endif |
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109 | if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope |
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110 | { |
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111 | if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB |
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112 | { |
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113 | lastI=i; // Remember the index for future fast/last use |
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114 | lastTH =colTH[i]; // The last THreshold (A-dependent) |
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115 | #ifdef debug |
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116 | G4cout<<"G4QPrCS::GetCS:*Found* P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl; |
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117 | #endif |
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118 | if(pMom<=lastTH) |
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119 | { |
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120 | #ifdef debug |
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121 | G4cout<<"G4QPCS::GetCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl; |
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122 | #endif |
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123 | return 0.; // Energy is below the Threshold value |
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124 | } |
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125 | lastP =colP [i]; // Last Momentum (A-dependent) |
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126 | lastCS =colCS[i]; // Last CrossSect (A-dependent) |
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127 | if(std::fabs(lastP-pMom)<tolerance*pMom) |
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128 | //if(lastP==pMom) // VI do not use tolerance |
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129 | { |
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130 | #ifdef debug |
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131 | G4cout<<"..G4QPrCS::GetCS:.DoNothing.P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl; |
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132 | #endif |
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133 | //CalculateCrossSection(fCS,-1,j,2212,lastZ,lastN,pMom); // Update param's only |
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134 | return lastCS*millibarn; // Use theLastCS |
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135 | } |
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136 | in = true; // This is the case when the isotop is found in DB |
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137 | // Momentum pMom is in IU ! @@ Units |
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138 | #ifdef debug |
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139 | G4cout<<"G4QPrCS::G:UpdatDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl; |
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140 | #endif |
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141 | lastCS=CalculateCrossSection(fCS,-1,j,2212,lastZ,lastN,pMom); // read & update |
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142 | #ifdef debug |
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143 | G4cout<<"G4QPrCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl; |
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144 | #endif |
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145 | if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros) |
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146 | { |
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147 | #ifdef debug |
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148 | G4cout<<"G4QPrCS::GetCS: New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl; |
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149 | #endif |
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150 | lastCS=0.; |
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151 | lastTH=pMom; |
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152 | } |
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153 | break; // Go out of the LOOP |
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154 | } |
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155 | #ifdef debug |
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156 | G4cout<<"-->G4QPrCrossSec::GetCrosSec: pPDG=2212, j="<<j<<", N="<<colN[i] |
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157 | <<",Z["<<i<<"]="<<colZ[i]<<G4endl; |
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158 | #endif |
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159 | j++; // Increment a#0f records found in DB |
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160 | } |
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161 | #ifdef debug |
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162 | G4cout<<"-?-G4QPrCS::GetCS:RC Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl; |
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163 | #endif |
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164 | if(!in) // This isotope has not been calculated previously |
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165 | { |
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166 | #ifdef debug |
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167 | G4cout<<"^^^G4QPrCS::GetCS:CalcNew P="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl; |
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168 | #endif |
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169 | //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU) |
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170 | lastCS=CalculateCrossSection(fCS,0,j,2212,lastZ,lastN,pMom); //calculate & create |
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171 | //if(lastCS>0.) // It means that the AMBD was initialized |
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172 | //{ |
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173 | |
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174 | lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last |
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175 | #ifdef debug |
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176 | G4cout<<"G4QPrCrossSection::GetCrossSect: NewThresh="<<lastTH<<",P="<<pMom<<G4endl; |
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177 | #endif |
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178 | colN.push_back(tgN); |
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179 | colZ.push_back(tgZ); |
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180 | colP.push_back(pMom); |
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181 | colTH.push_back(lastTH); |
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182 | colCS.push_back(lastCS); |
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183 | #ifdef debug |
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184 | G4cout<<"G4QPrCS::GetCrosSec:recCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl; |
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185 | #endif |
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186 | //} // M.K. Presence of H1 with high threshold breaks the syncronization |
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187 | #ifdef pdebug |
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188 | G4cout<<"G4QPrCS::GetCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl; |
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189 | #endif |
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190 | return lastCS*millibarn; |
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191 | } // End of creation of the new set of parameters |
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192 | else |
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193 | { |
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194 | #ifdef debug |
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195 | G4cout<<"G4QPrCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl; |
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196 | #endif |
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197 | colP[lastI]=pMom; |
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198 | colCS[lastI]=lastCS; |
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199 | } |
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200 | } // End of parameters udate |
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201 | else if(pMom<=lastTH) |
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202 | { |
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203 | #ifdef debug |
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204 | G4cout<<"G4QPrCS::GetCS: Current P="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl; |
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205 | #endif |
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206 | return 0.; // Momentum is below the Threshold Value -> CS=0 |
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207 | } |
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208 | else if(std::fabs(lastP-pMom)<tolerance*pMom) |
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209 | //else if(lastP==pMom) // VI do not use tolerance |
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210 | { |
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211 | #ifdef debug |
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212 | G4cout<<"..G4QPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl; |
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213 | #endif |
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214 | return lastCS*millibarn; // Use theLastCS |
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215 | } |
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216 | else // It is the last used -> use the current tables |
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217 | { |
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218 | #ifdef debug |
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219 | G4cout<<"-!-G4QPCS::GetCS:UseCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl; |
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220 | #endif |
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221 | lastCS=CalculateCrossSection(fCS,1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB |
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222 | lastP=pMom; |
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223 | } |
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224 | #ifdef debug |
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225 | G4cout<<"==>G4QPrCS::GetCroSec: P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl; |
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226 | #endif |
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227 | return lastCS*millibarn; |
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228 | } |
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229 | |
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230 | // The main member function giving the gamma-A cross section (E in GeV, CS in mb) |
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231 | G4double G4QPionPlusNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I, |
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232 | G4int, G4int targZ, G4int targN, G4double Momentum) |
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233 | { |
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234 | static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold |
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235 | static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold |
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236 | static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c |
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237 | static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c |
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238 | static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c) |
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239 | static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety |
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240 | static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV |
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241 | static const G4int nH=224; // A#of HEN points in lnE |
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242 | static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part |
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243 | static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent) |
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244 | static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part |
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245 | static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c |
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246 | #ifdef debug |
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247 | G4cout<<"G4QProtNCS::CalCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl; |
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248 | #endif |
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249 | G4double sigma=0.; |
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250 | if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!! |
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251 | G4double A=targN+targZ; // A of the target |
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252 | #ifdef debug |
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253 | G4cout<<"G4QProtNucCS::CalCS: A="<<A<<",F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl; |
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254 | #endif |
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255 | if(F<=0) // This isotope was not the last used isotop |
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256 | { |
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257 | if(F<0) // This isotope was found in DAMDB =======> RETRIEVE |
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258 | { |
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259 | G4int sync=LEN->size(); |
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260 | if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl; |
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261 | lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections |
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262 | lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections |
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263 | } |
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264 | else // This isotope wasn't calculated before => CREATE |
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265 | { |
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266 | lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections |
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267 | lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections |
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268 | // --- Instead of making a separate function --- |
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269 | G4double P=THmiG; // Table threshold in GeV/c |
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270 | for(G4int m=0; m<nL; m++) |
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271 | { |
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272 | lastLEN[m] = CrossSectionLin(targZ, targN, P); |
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273 | P+=dPG; |
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274 | } |
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275 | G4double lP=milPG; |
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276 | for(G4int n=0; n<nH; n++) |
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277 | { |
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278 | lastHEN[n] = CrossSectionLog(targZ, targN, lP); |
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279 | lP+=dlP; |
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280 | } |
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281 | #ifdef debug |
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282 | G4cout<<"-*->G4QPr0tNucCS::CalcCS:Tab for Z="<<targZ<<",N="<<targN<<",I="<<I<<G4endl; |
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283 | #endif |
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284 | // --- End of possible separate function |
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285 | // *** The synchronization check *** |
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286 | G4int sync=LEN->size(); |
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287 | if(sync!=I) |
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288 | { |
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289 | G4cerr<<"***G4QPiMinusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ |
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290 | <<", N="<<targN<<", F="<<F<<G4endl; |
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291 | //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow"); |
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292 | } |
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293 | LEN->push_back(lastLEN); // remember the Low Energy Table |
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294 | HEN->push_back(lastHEN); // remember the High Energy Table |
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295 | } // End of creation of the new set of parameters |
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296 | } // End of parameters udate |
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297 | // ============================== NOW the Magic Formula ================================= |
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298 | #ifdef debug |
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299 | G4cout<<"G4QPrNCS::CalcCS:lTH="<<lastTH<<",Pmi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl; |
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300 | #endif |
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301 | if (Momentum<lastTH) return 0.; // It must be already checked in the interface class |
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302 | else if (Momentum<Pmin) // High Energy region |
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303 | { |
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304 | #ifdef debug |
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305 | G4cout<<"G4QPrNCS::CalcCS:bLEN A="<<A<<", nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl; |
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306 | #endif |
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307 | if(A<=1.) sigma=0.; |
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308 | else sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN); |
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309 | #ifdef debugn |
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310 | if(sigma<0.) |
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311 | G4cout<<"G4QPrNuCS::CalcCS:A="<<A<<",E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl; |
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312 | #endif |
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313 | } |
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314 | else if (Momentum<Pmax) // High Energy region |
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315 | { |
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316 | G4double lP=std::log(Momentum); |
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317 | #ifdef debug |
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318 | G4cout<<"G4QProtNucCS::CalcCS: before HEN nH="<<nH<<",iE="<<milP<<",dlP="<<dlP<<G4endl; |
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319 | #endif |
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320 | sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN); |
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321 | } |
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322 | else // UHE region (calculation, not frequent) |
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323 | { |
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324 | G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c |
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325 | sigma=CrossSectionFormula(targZ, targN, P, std::log(P)); |
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326 | } |
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327 | #ifdef debug |
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328 | G4cout<<"G4QPionPlusNuclearCrossSection::CalcCS: CS="<<sigma<<G4endl; |
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329 | #endif |
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330 | if(sigma<0.) return 0.; |
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331 | return sigma; |
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332 | } |
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333 | |
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334 | // Electromagnetic momentum-threshold (in MeV/c) |
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335 | G4double G4QPionPlusNuclearCrossSection::ThresholdMomentum(G4int tZ, G4int tN) |
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336 | { |
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337 | static const G4double third=1./3.; |
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338 | static const G4double pM = G4QPDGCode(211).GetMass(); // Projectile mass in MeV |
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339 | static const G4double tpM= pM+pM; // Doubled projectile mass (MeV) |
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340 | G4double tA=tZ+tN; |
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341 | if(tZ<.99 || tN<0.) return 0.; |
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342 | else if(tZ==1 && tN==0) return 300.; // A threshold on the free proton |
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343 | //G4double dE=1.263*tZ/(1.+std::pow(tA,third)); |
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344 | G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE) |
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345 | G4double tM=931.5*tA; |
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346 | G4double T=dE+dE*(dE/2+pM)/tM; |
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347 | return std::sqrt(T*(tpM+T)); |
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348 | } |
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349 | |
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350 | // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c) |
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351 | G4double G4QPionPlusNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN, G4double P) |
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352 | { |
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353 | G4double lP=std::log(P); |
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354 | return CrossSectionFormula(tZ, tN, P, lP); |
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355 | } |
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356 | |
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357 | // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c) |
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358 | G4double G4QPionPlusNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN, G4double lP) |
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359 | { |
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360 | G4double P=std::exp(lP); |
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361 | return CrossSectionFormula(tZ, tN, P, lP); |
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362 | } |
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363 | // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c) |
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364 | G4double G4QPionPlusNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN, |
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365 | G4double P, G4double lP) |
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366 | { |
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367 | G4double sigma=0.; |
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368 | if(tZ==1 && !tN) // PiPlus-Proton interaction from G4QuasiElRatios |
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369 | { |
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370 | G4double ld=lP-3.5; |
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371 | G4double ld2=ld*ld; |
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372 | G4double p2=P*P; |
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373 | G4double p4=p2*p2; |
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374 | G4double sp=std::sqrt(P); |
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375 | G4double lm=lP-.32; |
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376 | G4double md=lm*lm+.04; |
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377 | G4double El=(.0557*ld2+2.4+6./sp)/(1.+3./p4); |
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378 | G4double To=(.3*ld2+22.3+5./sp)/(1.+1./p4); |
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379 | sigma=(To-El)+.1/md; |
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380 | } |
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381 | else if(tZ==1 && tN==1) // pimp_tot |
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382 | { |
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383 | G4double p2=P*P; |
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384 | G4double d=lP-2.7; |
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385 | G4double f=lP+1.25; |
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386 | G4double g=lP-.017; |
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387 | sigma=(.55*d*d+38.+23./std::sqrt(P))/(1.+.3/p2/p2)+18./(f*f+.1089)+.02/(g*g+.0025); |
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388 | } |
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389 | else if(tZ<97 && tN<152) // General solution |
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390 | { |
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391 | G4double d=lP-4.2; |
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392 | G4double p2=P*P; |
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393 | G4double p4=p2*p2; |
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394 | G4double a=tN+tZ; // A of the target |
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395 | G4double al=std::log(a); |
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396 | G4double sa=std::sqrt(a); |
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397 | G4double ssa=std::sqrt(sa); |
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398 | G4double a2=a*a; |
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399 | G4double c=41.*std::exp(al*.68)*(1.+44./a2)/(1.+8./a)/(1.+200./a2/a2); |
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400 | G4double f=290.*ssa/(1.+34./a/ssa); |
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401 | G4double g=-1.32-al*.043; |
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402 | G4double u=lP-g; |
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403 | G4double h=al*(.4-.055*al); |
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404 | G4double r=.01+a2*5.E-8; |
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405 | sigma=(c+d*d)/(1.+(.2-.009*sa)/p4)+f/(u*u+h*h)/(1.+r/p2); |
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406 | #ifdef pdebug |
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407 | G4cout<<"G4QPiPlusNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<g |
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408 | <<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl; |
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409 | #endif |
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410 | } |
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411 | else |
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412 | { |
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413 | G4cerr<<"-Warning-G4QPiPlusNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl; |
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414 | sigma=0.; |
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415 | } |
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416 | if(sigma<0.) return 0.; |
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417 | return sigma; |
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418 | } |
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