[819] | 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 | // $Id: G4CrossSectionExcitationMillerGreenPartial.cc,v 1.1 2007/11/08 19:57:23 pia Exp $ |
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| 28 | // GEANT4 tag $Name: $ |
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| 29 | // |
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| 30 | // Contact Author: Maria Grazia Pia (Maria.Grazia.Pia@cern.ch) |
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| 31 | // |
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| 32 | // Reference: TNS Geant4-DNA paper |
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| 33 | // Reference for implementation model: NIM. 155, pp. 145-156, 1978 |
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| 34 | |
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| 35 | // History: |
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| 36 | // ----------- |
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| 37 | // Date Name Modification |
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| 38 | // 28 Apr 2007 M.G. Pia Created in compliance with design described in TNS paper |
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| 39 | // |
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| 40 | // ------------------------------------------------------------------- |
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| 41 | |
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| 42 | // Class description: |
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| 43 | // Geant4-DNA Cross total cross section for electron elastic scattering in water |
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| 44 | // Reference: TNS Geant4-DNA paper |
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| 45 | // S. Chauvie et al., Geant4 physics processes for microdosimetry simulation: |
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| 46 | // design foundation and implementation of the first set of models, |
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| 47 | // IEEE Trans. Nucl. Sci., vol. 54, no. 6, Dec. 2007. |
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| 48 | // Further documentation available from http://www.ge.infn.it/geant4/dna |
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| 49 | |
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| 50 | // ------------------------------------------------------------------- |
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| 51 | |
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| 52 | |
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| 53 | #include "G4CrossSectionExcitationMillerGreenPartial.hh" |
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| 54 | #include "G4Track.hh" |
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| 55 | #include "G4DynamicParticle.hh" |
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| 56 | #include "G4ParticleDefinition.hh" |
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| 57 | #include "G4Proton.hh" |
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| 58 | #include "G4DNAGenericIonsManager.hh" |
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| 59 | #include "G4CrossSectionExcitationEmfietzoglouPartial.hh" |
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| 60 | #include "Randomize.hh" |
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| 61 | #include <deque> |
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| 62 | |
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| 63 | |
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| 64 | G4CrossSectionExcitationMillerGreenPartial::G4CrossSectionExcitationMillerGreenPartial() |
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| 65 | { |
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| 66 | |
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| 67 | nLevels = waterExcitation.NumberOfLevels(); |
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| 68 | //G4cout << "Water excitation energy: number of levels = " << nLevels << G4endl; |
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| 69 | |
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| 70 | //PROTON |
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| 71 | kineticEnergyCorrection[0] = 1.; |
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| 72 | slaterEffectiveCharge[0][0] = 0.; |
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| 73 | slaterEffectiveCharge[1][0] = 0.; |
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| 74 | slaterEffectiveCharge[2][0] = 0.; |
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| 75 | sCoefficient[0][0] = 0.; |
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| 76 | sCoefficient[1][0] = 0.; |
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| 77 | sCoefficient[2][0] = 0.; |
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| 78 | |
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| 79 | //ALPHA++ |
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| 80 | kineticEnergyCorrection[1] = 0.9382723/3.727417; |
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| 81 | slaterEffectiveCharge[0][1]=0.; |
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| 82 | slaterEffectiveCharge[1][1]=0.; |
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| 83 | slaterEffectiveCharge[2][1]=0.; |
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| 84 | sCoefficient[0][1]=0.; |
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| 85 | sCoefficient[1][1]=0.; |
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| 86 | sCoefficient[2][1]=0.; |
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| 87 | |
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| 88 | // ALPHA+ |
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| 89 | kineticEnergyCorrection[2] = 0.9382723/3.727417; |
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| 90 | slaterEffectiveCharge[0][2]=2.0; |
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| 91 | slaterEffectiveCharge[1][2]=1.15; |
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| 92 | slaterEffectiveCharge[2][2]=1.15; |
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| 93 | sCoefficient[0][2]=0.7; |
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| 94 | sCoefficient[1][2]=0.15; |
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| 95 | sCoefficient[2][2]=0.15; |
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| 96 | |
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| 97 | // HELIUM |
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| 98 | kineticEnergyCorrection[3] = 0.9382723/3.727417; |
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| 99 | slaterEffectiveCharge[0][3]=1.7; |
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| 100 | slaterEffectiveCharge[1][3]=1.15; |
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| 101 | slaterEffectiveCharge[2][3]=1.15; |
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| 102 | sCoefficient[0][3]=0.5; |
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| 103 | sCoefficient[1][3]=0.25; |
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| 104 | sCoefficient[2][3]=0.25; |
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| 105 | |
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| 106 | } |
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| 107 | |
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| 108 | G4CrossSectionExcitationMillerGreenPartial::~G4CrossSectionExcitationMillerGreenPartial() |
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| 109 | { } |
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| 110 | |
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| 111 | G4double G4CrossSectionExcitationMillerGreenPartial::CrossSection(G4double k, G4int excitationLevel, |
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| 112 | const G4ParticleDefinition* particleDefinition) |
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| 113 | { |
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| 114 | // ( ( z * aj ) ^ omegaj ) * ( t - ej ) ^ nu |
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| 115 | // sigma(t) = zEff^2 * sigma0 * -------------------------------------------- |
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| 116 | // jj ^ ( omegaj + nu ) + t ^ ( omegaj + nu ) |
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| 117 | // |
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| 118 | // where t is the kinetic energy corrected by Helium mass over proton mass for Helium ions |
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| 119 | // |
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| 120 | // zEff is: |
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| 121 | // 1 for protons |
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| 122 | // 2 for alpha++ |
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| 123 | // and 2 - c1 S_1s - c2 S_2s - c3 S_2p for alpha+ and He |
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| 124 | // |
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| 125 | // Dingfelder et al., RPC 59, 255-275, 2000 from Miller and Green (1973) |
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| 126 | // Formula (34) and Table 2 |
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| 127 | |
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| 128 | const G4double sigma0(1.E+8 * barn); |
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| 129 | const G4double nu(1.); |
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| 130 | const G4double aj[]={876.*eV, 2084.* eV, 1373.*eV, 692.*eV, 900.*eV}; |
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| 131 | const G4double jj[]={19820.*eV, 23490.*eV, 27770.*eV, 30830.*eV, 33080.*eV}; |
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| 132 | const G4double omegaj[]={0.85, 0.88, 0.88, 0.78, 0.78}; |
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| 133 | |
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| 134 | G4int particleTypeIndex = 0; |
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| 135 | G4DNAGenericIonsManager* instance; |
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| 136 | instance = G4DNAGenericIonsManager::Instance(); |
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| 137 | |
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| 138 | if (particleDefinition == G4Proton::ProtonDefinition()) particleTypeIndex=0; |
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| 139 | if (particleDefinition == instance->GetIon("alpha++")) particleTypeIndex=1; |
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| 140 | if (particleDefinition == instance->GetIon("alpha+")) particleTypeIndex=2; |
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| 141 | if (particleDefinition == instance->GetIon("helium")) particleTypeIndex=3; |
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| 142 | |
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| 143 | G4double tCorrected; |
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| 144 | tCorrected = k * kineticEnergyCorrection[particleTypeIndex]; |
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| 145 | |
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| 146 | // Assume that the material is water; proper algorithm to calculate correctly for any material to be inserted here |
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| 147 | G4int z = 10; |
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| 148 | |
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| 149 | G4double numerator; |
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| 150 | numerator = std::pow(z * aj[excitationLevel], omegaj[excitationLevel]) * |
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| 151 | std::pow(tCorrected - waterExcitation.ExcitationEnergy(excitationLevel), nu); |
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| 152 | |
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| 153 | G4double power; |
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| 154 | power = omegaj[excitationLevel] + nu; |
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| 155 | |
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| 156 | G4double denominator; |
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| 157 | denominator = std::pow(jj[excitationLevel], power) + std::pow(tCorrected, power); |
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| 158 | |
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| 159 | G4double zEff = particleDefinition->GetPDGCharge() / eplus + particleDefinition->GetLeptonNumber(); |
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| 160 | |
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| 161 | zEff -= ( sCoefficient[0][particleTypeIndex] * S_1s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[0][particleTypeIndex], 1.) + |
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| 162 | sCoefficient[1][particleTypeIndex] * S_2s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[1][particleTypeIndex], 2.) + |
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| 163 | sCoefficient[2][particleTypeIndex] * S_2p(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[2][particleTypeIndex], 2.) ); |
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| 164 | |
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| 165 | G4double cross = sigma0 * zEff * zEff * numerator / denominator; |
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| 166 | |
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| 167 | return cross; |
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| 168 | } |
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| 169 | |
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| 170 | G4int G4CrossSectionExcitationMillerGreenPartial::RandomSelect(G4double k, |
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| 171 | const G4ParticleDefinition* particle) |
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| 172 | { |
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| 173 | G4int i = nLevels; |
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| 174 | G4double value = 0.; |
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| 175 | std::deque<double> values; |
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| 176 | |
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| 177 | // ---- MGP ---- The following algorithm is wrong: it works is the cross section |
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| 178 | // is a monotone increasing function. |
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| 179 | // The algorithm should be corrected by building the cumulative function |
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| 180 | // of the cross section and comparing a random number in the range 0-1 against |
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| 181 | // the cumulative value at each bin |
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| 182 | |
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| 183 | G4DNAGenericIonsManager *instance; |
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| 184 | instance = G4DNAGenericIonsManager::Instance(); |
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| 185 | |
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| 186 | // ELECTRON CORRECTION |
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| 187 | |
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| 188 | if ( particle == instance->GetIon("alpha++")) |
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| 189 | { while (i > 0) |
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| 190 | { |
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| 191 | i--; |
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| 192 | G4double partial = CrossSection(k,i,particle); |
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| 193 | values.push_front(partial); |
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| 194 | value += partial; |
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| 195 | } |
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| 196 | |
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| 197 | value *= G4UniformRand(); |
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| 198 | |
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| 199 | i = nLevels; |
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| 200 | |
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| 201 | while (i > 0) |
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| 202 | { |
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| 203 | i--; |
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| 204 | if (values[i] > value) return i; |
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| 205 | value -= values[i]; |
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| 206 | } |
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| 207 | } |
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| 208 | |
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| 209 | // |
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| 210 | // add ONE or TWO electron-water excitation for alpha+ and helium |
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| 211 | |
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| 212 | if ( particle == instance->GetIon("alpha+") |
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| 213 | || |
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| 214 | particle == instance->GetIon("helium") |
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| 215 | ) |
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| 216 | { |
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| 217 | |
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| 218 | while (i>0) |
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| 219 | { |
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| 220 | i--; |
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| 221 | |
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| 222 | G4CrossSectionExcitationEmfietzoglouPartial* excitationXS = |
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| 223 | new G4CrossSectionExcitationEmfietzoglouPartial(); |
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| 224 | |
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| 225 | G4double sigmaExcitation=0; |
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| 226 | if (k*0.511/3728 > 7.4*eV && k*0.511/3728 < 10*keV) sigmaExcitation = excitationXS->CrossSection(k*0.511/3728,i); |
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| 227 | |
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| 228 | G4double partial = CrossSection(k,i,particle); |
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| 229 | if (particle == instance->GetIon("alpha+")) partial = CrossSection(k,i,particle) + sigmaExcitation; |
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| 230 | if (particle == instance->GetIon("helium")) partial = CrossSection(k,i,particle) + 2*sigmaExcitation; |
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| 231 | values.push_front(partial); |
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| 232 | value += partial; |
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| 233 | delete excitationXS; |
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| 234 | } |
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| 235 | |
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| 236 | value*=G4UniformRand(); |
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| 237 | |
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| 238 | i=5; |
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| 239 | while (i>0) |
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| 240 | { |
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| 241 | i--; |
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| 242 | |
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| 243 | if (values[i]>value) return i; |
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| 244 | |
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| 245 | value-=values[i]; |
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| 246 | } |
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| 247 | } |
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| 248 | // |
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| 249 | return 0; |
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| 250 | } |
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| 251 | |
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| 252 | G4double G4CrossSectionExcitationMillerGreenPartial::Sum(G4double k, const G4ParticleDefinition* particle) |
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| 253 | { |
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| 254 | G4double totalCrossSection = 0.; |
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| 255 | |
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| 256 | for (G4int i=0; i<nLevels; i++) |
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| 257 | { |
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| 258 | totalCrossSection += CrossSection(k,i,particle); |
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| 259 | } |
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| 260 | return totalCrossSection; |
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| 261 | } |
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| 262 | |
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| 263 | |
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| 264 | G4double G4CrossSectionExcitationMillerGreenPartial::S_1s(G4double t, |
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| 265 | G4double energyTransferred, |
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| 266 | G4double slaterEffectiveCharge, |
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| 267 | G4double shellNumber) |
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| 268 | { |
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| 269 | // 1 - e^(-2r) * ( 1 + 2 r + 2 r^2) |
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| 270 | // Dingfelder, in Chattanooga 2005 proceedings, formula (7) |
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| 271 | |
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| 272 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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| 273 | G4double value = 1. - std::exp(-2 * r) * ( ( 2. * r + 2. ) * r + 1. ); |
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| 274 | |
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| 275 | return value; |
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| 276 | } |
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| 277 | |
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| 278 | |
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| 279 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2s(G4double t, |
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| 280 | G4double energyTransferred, |
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| 281 | G4double slaterEffectiveCharge, |
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| 282 | G4double shellNumber) |
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| 283 | { |
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| 284 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 2 r^4) |
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| 285 | // Dingfelder, in Chattanooga 2005 proceedings, formula (8) |
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| 286 | |
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| 287 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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| 288 | G4double value = 1. - std::exp(-2 * r) * (((2. * r * r + 2.) * r + 2.) * r + 1.); |
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| 289 | |
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| 290 | return value; |
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| 291 | |
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| 292 | } |
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| 293 | |
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| 294 | |
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| 295 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2p(G4double t, |
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| 296 | G4double energyTransferred, |
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| 297 | G4double slaterEffectiveCharge, |
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| 298 | G4double shellNumber) |
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| 299 | { |
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| 300 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 4/3 r^3 + 2/3 r^4) |
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| 301 | // Dingfelder, in Chattanooga 2005 proceedings, formula (9) |
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| 302 | |
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| 303 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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| 304 | G4double value = 1. - std::exp(-2 * r) * (((( 2./3. * r + 4./3.) * r + 2.) * r + 2.) * r + 1.); |
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| 305 | |
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| 306 | return value; |
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| 307 | } |
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| 308 | |
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| 309 | |
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| 310 | G4double G4CrossSectionExcitationMillerGreenPartial::R(G4double t, |
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| 311 | G4double energyTransferred, |
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| 312 | G4double slaterEffectiveCharge, |
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| 313 | G4double shellNumber) |
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| 314 | { |
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| 315 | // tElectron = m_electron / m_alpha * t |
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| 316 | // Hardcoded in Riccardo's implementation; to be corrected |
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| 317 | // Dingfelder, in Chattanooga 2005 proceedings, p 4 |
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| 318 | |
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| 319 | G4double tElectron = 0.511/3728. * t; |
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| 320 | G4double value = 2. * tElectron * slaterEffectiveCharge / (energyTransferred * shellNumber); |
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| 321 | |
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| 322 | return value; |
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| 323 | } |
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| 324 | |
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