| 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: G4NucleiProperties.cc,v 1.22 2010/05/20 01:01:07 kurasige Exp $
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| 28 | // GEANT4 tag $Name: geant4-09-04-beta-cand-01 $
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| 29 | //
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| 30 | //
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| 31 | // ------------------------------------------------------------
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| 32 | // GEANT 4 class header file
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| 33 | //
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| 34 | // ------------------------------------------------------------
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| 35 | //
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| 36 | // Hadronic Process: Nuclear De-excitations
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| 37 | // by V. Lara (Oct 1998)
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| 38 | // Migrate into particles category by H.Kurashige (17 Nov. 98)
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| 39 | // Added Shell-Pairing corrections to the Cameron mass
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| 40 | // excess formula by V.Lara (9 May 99)
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| 41 | // 090331 Migrate to AME03 by Koi, Tatsumi
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| 42 |
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| 43 | #include "G4NucleiProperties.hh"
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| 44 |
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| 45 |
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| 46 | G4double G4NucleiProperties::mass_proton = -1.;
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| 47 | G4double G4NucleiProperties::mass_neutron = -1.;
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| 48 | G4double G4NucleiProperties::mass_deuteron = -1.;
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| 49 | G4double G4NucleiProperties::mass_triton = -1.;
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| 50 | G4double G4NucleiProperties::mass_alpha = -1.;
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| 51 | G4double G4NucleiProperties::mass_He3 = -1.;
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| 52 |
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| 53 | G4double G4NucleiProperties::GetNuclearMass(const G4double A, const G4double Z)
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| 54 | {
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| 55 | G4double mass=0.0;
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| 56 |
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| 57 | if (std::fabs(A - G4int(A)) > 1.e-10) {
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| 58 | mass = NuclearMass(A,Z);
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| 59 |
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| 60 | } else {
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| 61 | // use mass table
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| 62 | G4int iZ = G4int(Z);
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| 63 | G4int iA = G4int(A);
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| 64 | mass =GetNuclearMass(iA,iZ);
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| 65 | }
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| 66 |
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| 67 | return mass;
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| 68 | }
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| 69 |
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| 70 |
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| 71 | G4double G4NucleiProperties::GetNuclearMass(const G4int A, const G4int Z)
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| 72 | {
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| 73 | if (mass_proton <= 0.0 ) {
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| 74 | G4ParticleDefinition * nucleus = 0;
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| 75 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("proton"); // proton
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| 76 | if (nucleus!=0) mass_proton = nucleus->GetPDGMass();
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| 77 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("neutron"); // neutron
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| 78 | if (nucleus!=0) mass_neutron = nucleus->GetPDGMass();
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| 79 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("deuteron"); // deuteron
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| 80 | if (nucleus!=0) mass_deuteron = nucleus->GetPDGMass();
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| 81 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("triton"); // triton
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| 82 | if (nucleus!=0) mass_triton = nucleus->GetPDGMass();
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| 83 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("alpha"); // alpha
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| 84 | if (nucleus!=0) mass_alpha = nucleus->GetPDGMass();
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| 85 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("He3"); // He3
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| 86 | if (nucleus!=0) mass_He3 = nucleus->GetPDGMass();
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| 87 |
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| 88 | }
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| 89 |
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| 90 | if (A < 1 || Z < 0 || Z > A) {
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| 91 | #ifdef G4VERBOSE
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| 92 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 93 | G4cerr << "G4NucleiProperties::GetNuclearMass: Wrong values for A = " << A
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| 94 | << " and Z = " << Z << G4endl;
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| 95 | }
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| 96 | #endif
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| 97 | return 0.0;
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| 98 | }
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| 99 |
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| 100 | G4double mass= -1.;
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| 101 | if ( (Z<=2) ) {
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| 102 | // light nuclei
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| 103 | if ( (Z==1)&&(A==1) ) {
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| 104 | mass = mass_proton;
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| 105 | } else if ( (Z==0)&&(A==1) ) {
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| 106 | mass = mass_neutron;
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| 107 | } else if ( (Z==1)&&(A==2) ) {
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| 108 | mass = mass_deuteron;
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| 109 | } else if ( (Z==1)&&(A==3) ) {
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| 110 | mass = mass_triton;
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| 111 | } else if ( (Z==2)&&(A==4) ) {
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| 112 | mass = mass_alpha;
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| 113 | } else if ( (Z==2)&&(A==3) ) {
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| 114 | mass = mass_He3;
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| 115 | }
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| 116 | }
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| 117 |
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| 118 | if (mass < 0.) {
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| 119 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)) {
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| 120 | // AME 03 table
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| 121 | mass = G4NucleiPropertiesTableAME03::GetNuclearMass(Z,A);
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| 122 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)){
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| 123 | // Theoretical table
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| 124 | mass = G4NucleiPropertiesTheoreticalTable::GetNuclearMass(Z,A);
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| 125 | } else {
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| 126 | mass = NuclearMass(G4double(A),G4double(Z));
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| 127 | }
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| 128 | }
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| 129 |
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| 130 | if (mass < 0.) mass = 0.0;
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| 131 | return mass;
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| 132 | }
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| 133 |
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| 134 | G4bool G4NucleiProperties::IsInStableTable(const G4double A, const G4double Z)
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| 135 | {
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| 136 | G4int iA = G4int(A);
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| 137 | G4int iZ = G4int(Z);
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| 138 | return IsInStableTable(iA, iZ);
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| 139 | }
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| 140 |
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| 141 | G4bool G4NucleiProperties::IsInStableTable(const G4int A, const int Z)
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| 142 | {
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| 143 | if (A < 1 || Z < 0 || Z > A) {
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| 144 | #ifdef G4VERBOSE
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| 145 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 146 | G4cerr << "G4NucleiProperties::IsInStableTable: Wrong values for A = "
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| 147 | << A << " and Z = " << Z << G4endl;
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| 148 | }
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| 149 | #endif
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| 150 | return false;
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| 151 | }
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| 152 |
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| 153 | return G4NucleiPropertiesTableAME03::IsInTable(Z,A);
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| 154 |
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| 155 | }
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| 156 |
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| 157 | G4double G4NucleiProperties::GetMassExcess(const G4double A, const G4double Z)
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| 158 | {
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| 159 | G4int iA = G4int(A);
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| 160 | G4int iZ = G4int(Z);
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| 161 | return GetMassExcess(iA,iZ);
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| 162 | }
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| 163 |
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| 164 | G4double G4NucleiProperties::GetMassExcess(const G4int A, const G4int Z)
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| 165 | {
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| 166 | if (A < 1 || Z < 0 || Z > A) {
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| 167 | #ifdef G4VERBOSE
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| 168 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 169 | G4cerr << "G4NucleiProperties::GetMassExccess: Wrong values for A = "
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| 170 | << A << " and Z = " << Z << G4endl;
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| 171 | }
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| 172 | #endif
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| 173 | return 0.0;
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| 174 |
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| 175 | } else {
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| 176 |
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| 177 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)){
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| 178 | return G4NucleiPropertiesTableAME03::GetMassExcess(Z,A);
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| 179 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)){
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| 180 | return G4NucleiPropertiesTheoreticalTable::GetMassExcess(Z,A);
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| 181 | } else {
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| 182 | return MassExcess(A,Z);
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| 183 | }
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| 184 | }
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| 185 |
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| 186 | }
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| 187 |
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| 188 |
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| 189 | G4double G4NucleiProperties::GetAtomicMass(const G4double A, const G4double Z)
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| 190 | {
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| 191 | if (A < 1 || Z < 0 || Z > A) {
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| 192 | #ifdef G4VERBOSE
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| 193 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 194 | G4cerr << "G4NucleiProperties::GetAtomicMass: Wrong values for A = "
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| 195 | << A << " and Z = " << Z << G4endl;
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| 196 | }
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| 197 | #endif
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| 198 | return 0.0;
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| 199 |
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| 200 | } else if (std::fabs(A - G4int(A)) > 1.e-10) {
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| 201 | return AtomicMass(A,Z);
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| 202 |
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| 203 | } else {
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| 204 | G4int iA = G4int(A);
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| 205 | G4int iZ = G4int(Z);
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| 206 | if (G4NucleiPropertiesTableAME03::IsInTable(iZ,iA)) {
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| 207 | return G4NucleiPropertiesTableAME03::GetAtomicMass(iZ,iA);
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| 208 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(iZ,iA)){
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| 209 | return G4NucleiPropertiesTheoreticalTable::GetAtomicMass(iZ,iA);
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| 210 | } else {
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| 211 | return AtomicMass(A,Z);
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| 212 | }
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| 213 | }
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| 214 | }
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| 215 |
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| 216 | G4double G4NucleiProperties::GetBindingEnergy(const G4double A, const G4double Z)
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| 217 | {
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| 218 | G4int iA = G4int(A);
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| 219 | G4int iZ = G4int(Z);
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| 220 | return GetBindingEnergy(iA,iZ);
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| 221 | }
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| 222 |
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| 223 | G4double G4NucleiProperties::GetBindingEnergy(const G4int A, const G4int Z)
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| 224 | {
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| 225 | if (A < 1 || Z < 0 || Z > A) {
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| 226 | #ifdef G4VERBOSE
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| 227 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 228 | G4cerr << "G4NucleiProperties::GetMassExccess: Wrong values for A = "
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| 229 | << A << " and Z = " << Z << G4endl;
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| 230 | }
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| 231 | #endif
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| 232 | return 0.0;
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| 233 |
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| 234 | } else {
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| 235 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)) {
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| 236 | return G4NucleiPropertiesTableAME03::GetBindingEnergy(Z,A);
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| 237 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)) {
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| 238 | return G4NucleiPropertiesTheoreticalTable::GetBindingEnergy(Z,A);
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| 239 | }else {
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| 240 | return BindingEnergy(A,Z);
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| 241 | }
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| 242 |
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| 243 | }
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| 244 | }
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| 245 |
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| 246 |
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| 247 | G4double G4NucleiProperties::MassExcess(G4double A, G4double Z)
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| 248 | {
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| 249 | return GetAtomicMass(A,Z) - A*amu_c2;
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| 250 | }
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| 251 |
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| 252 | G4double G4NucleiProperties::AtomicMass(G4double A, G4double Z)
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| 253 | {
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| 254 | const G4double hydrogen_mass_excess = G4NucleiPropertiesTableAME03::GetMassExcess(1,1);
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| 255 | const G4double neutron_mass_excess = G4NucleiPropertiesTableAME03::GetMassExcess(0,1);
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| 256 |
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| 257 | G4double mass =
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| 258 | (A-Z)*neutron_mass_excess + Z*hydrogen_mass_excess - BindingEnergy(A,Z) + A*amu_c2;
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| 259 |
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| 260 | return mass;
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| 261 | }
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| 262 |
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| 263 | G4double G4NucleiProperties::NuclearMass(G4double A, G4double Z)
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| 264 | {
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| 265 | if (A < 1 || Z < 0 || Z > A) {
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| 266 | #ifdef G4VERBOSE
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| 267 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) {
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| 268 | G4cerr << "G4NucleiProperties::NuclearMass: Wrong values for A = "
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| 269 | << A << " and Z = " << Z << G4endl;
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| 270 | }
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| 271 | #endif
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| 272 | return 0.0;
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| 273 | }
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| 274 |
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| 275 | G4double mass = AtomicMass(A,Z);
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| 276 | // atomic mass is converted to nuclear mass according formula in AME03
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| 277 | mass -= Z*electron_mass_c2;
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| 278 | mass += ( 14.4381*std::pow ( Z , 2.39 ) + 1.55468*1e-6*std::pow ( Z , 5.35 ) )*eV;
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| 279 |
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| 280 | return mass;
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| 281 | }
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| 282 |
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| 283 | G4double G4NucleiProperties::BindingEnergy(G4double A, G4double Z)
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| 284 | {
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| 285 | //
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| 286 | // Weitzsaecker's Mass formula
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| 287 | //
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| 288 | G4int Npairing = G4int(A-Z)%2; // pairing
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| 289 | G4int Zpairing = G4int(Z)%2;
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| 290 | G4double binding =
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| 291 | - 15.67*A // nuclear volume
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| 292 | + 17.23*std::pow(A,2./3.) // surface energy
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| 293 | + 93.15*((A/2.-Z)*(A/2.-Z))/A // asymmetry
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| 294 | + 0.6984523*Z*Z*std::pow(A,-1./3.); // coulomb
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| 295 | if( Npairing == Zpairing ) binding += (Npairing+Zpairing-1) * 12.0 / std::sqrt(A); // pairing
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| 296 |
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| 297 | return -binding*MeV;
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| 298 | }
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| 299 |
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