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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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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 | // |
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28 | // ------------------------------------------------------------ |
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29 | // GEANT 4 class implementation file |
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30 | // |
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31 | // ---------------- G4Fancy3DNucleus ---------------- |
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32 | // by Gunter Folger, May 1998. |
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33 | // class for a 3D nucleus, arranging nucleons in space and momentum. |
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34 | // ------------------------------------------------------------ |
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35 | |
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36 | #include "G4Fancy3DNucleus.hh" |
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37 | #include "G4NuclearFermiDensity.hh" |
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38 | #include "G4NuclearShellModelDensity.hh" |
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39 | #include "G4NucleiProperties.hh" |
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40 | #include "Randomize.hh" |
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41 | #include "G4ios.hh" |
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42 | #include <algorithm> |
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43 | #include "G4HadronicException.hh" |
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44 | |
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45 | |
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46 | G4Fancy3DNucleus::G4Fancy3DNucleus() |
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47 | : nucleondistance(0.8*fermi) |
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48 | { |
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49 | theDensity=0; |
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50 | theNucleons=0; |
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51 | currentNucleon=-1; |
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52 | myA=0; |
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53 | myZ=0; |
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54 | //G4cout <<"G4Fancy3DNucleus::G4Fancy3DNucleus()"<<G4endl; |
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55 | } |
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56 | |
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57 | G4Fancy3DNucleus::~G4Fancy3DNucleus() |
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58 | { |
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59 | if(theNucleons) delete [] theNucleons; |
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60 | if(theDensity) delete theDensity; |
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61 | } |
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62 | |
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63 | #if defined(NON_INTEGER_A_Z) |
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64 | void G4Fancy3DNucleus::Init(G4double theA, G4double theZ) |
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65 | { |
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66 | G4int intZ = G4int(theZ); |
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67 | G4int intA= ( G4UniformRand()>theA-G4int(theA) ) ? G4int(theA) : G4int(theA)+1; |
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68 | // forward to integer Init() |
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69 | Init(intA, intZ); |
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70 | |
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71 | } |
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72 | #endif |
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73 | |
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74 | void G4Fancy3DNucleus::Init(G4int theA, G4int theZ) |
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75 | { |
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76 | // G4cout << "G4Fancy3DNucleus::Init(theA, theZ) called"<<G4endl; |
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77 | currentNucleon=-1; |
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78 | if(theNucleons) delete [] theNucleons; |
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79 | |
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80 | theRWNucleons.clear(); |
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81 | |
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82 | myZ = theZ; |
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83 | myA= theA; |
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84 | |
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85 | theNucleons = new G4Nucleon[myA]; |
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86 | |
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87 | // G4cout << "myA, myZ" << myA << ", " << myZ << G4endl; |
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88 | |
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89 | if(theDensity) delete theDensity; |
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90 | if ( myA < 17 ) { |
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91 | theDensity = new G4NuclearShellModelDensity(myA, myZ); |
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92 | } else { |
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93 | theDensity = new G4NuclearFermiDensity(myA, myZ); |
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94 | } |
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95 | |
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96 | theFermi.Init(myA, myZ); |
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97 | |
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98 | ChooseNucleons(); |
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99 | |
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100 | ChoosePositions(); |
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101 | |
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102 | // CenterNucleons(); // This would introduce a bias |
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103 | |
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104 | ChooseFermiMomenta(); |
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105 | |
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106 | G4double Ebinding= BindingEnergy()/myA; |
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107 | |
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108 | for (G4int aNucleon=0; aNucleon < myA; aNucleon++) |
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109 | { |
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110 | theNucleons[aNucleon].SetBindingEnergy(Ebinding); |
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111 | } |
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112 | |
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113 | |
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114 | return; |
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115 | } |
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116 | |
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117 | G4bool G4Fancy3DNucleus::StartLoop() |
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118 | { |
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119 | currentNucleon=0; |
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120 | return theNucleons; |
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121 | } |
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122 | |
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123 | G4Nucleon * G4Fancy3DNucleus::GetNextNucleon() |
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124 | { |
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125 | return ( currentNucleon>=0 && currentNucleon<myA ) ? |
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126 | theNucleons+currentNucleon++ : 0; |
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127 | } |
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128 | |
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129 | const std::vector<G4Nucleon *> & G4Fancy3DNucleus::GetNucleons() |
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130 | { |
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131 | if ( theRWNucleons.size()==0 ) |
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132 | { |
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133 | for (G4int i=0; i< myA; i++) |
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134 | { |
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135 | theRWNucleons.push_back(theNucleons+i); |
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136 | } |
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137 | } |
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138 | return theRWNucleons; |
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139 | } |
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140 | |
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141 | //void G4Fancy3DNucleus::SortNucleonsIncZ() // on increased Z-coordinates Uzhi 29.08.08 |
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142 | |
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143 | bool G4Fancy3DNucleusHelperForSortInZ(const G4Nucleon* nuc1, const G4Nucleon* nuc2) |
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144 | { |
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145 | return nuc1->GetPosition().z() < nuc2->GetPosition().z(); |
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146 | } |
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147 | |
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148 | //void G4Fancy3DNucleus::SortNucleonsInZ() |
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149 | void G4Fancy3DNucleus::SortNucleonsIncZ() // on increased Z-coordinates Uzhi 29.08.08 |
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150 | { |
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151 | |
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152 | GetNucleons(); // make sure theRWNucleons is initialised |
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153 | |
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154 | if (theRWNucleons.size() < 2 ) return; |
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155 | |
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156 | std::sort( theRWNucleons.begin(),theRWNucleons.end(),G4Fancy3DNucleusHelperForSortInZ); |
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157 | |
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158 | // now copy sorted nucleons to theNucleons array. TheRWNucleons are pointers in theNucleons |
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159 | // so we need to copy to new, and then swap. |
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160 | G4Nucleon * sortedNucleons = new G4Nucleon[myA]; |
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161 | for ( unsigned int i=0; i<theRWNucleons.size(); i++ ) |
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162 | { |
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163 | sortedNucleons[i]= *(theRWNucleons[i]); |
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164 | } |
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165 | |
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166 | theRWNucleons.clear(); // about to delete array these point to.... |
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167 | delete [] theNucleons; |
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168 | |
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169 | theNucleons=sortedNucleons; |
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170 | |
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171 | return; |
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172 | } |
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173 | |
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174 | void G4Fancy3DNucleus::SortNucleonsDecZ() // on decreased Z-coordinates Uzhi 29.08.08 |
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175 | { |
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176 | G4Nucleon * sortedNucleons = new G4Nucleon[myA]; |
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177 | |
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178 | GetNucleons(); // make sure theRWNucleons is initialised |
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179 | |
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180 | if (theRWNucleons.size() < 2 ) return; |
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181 | std::sort( theRWNucleons.begin(),theRWNucleons.end(),G4Fancy3DNucleusHelperForSortInZ); |
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182 | |
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183 | // now copy sorted nucleons to theNucleons array. TheRWNucleons are pointers in theNucleons |
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184 | // so we need to copy to new, and then swap. |
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185 | for ( unsigned int i=0; i<theRWNucleons.size(); i++ ) |
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186 | { |
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187 | sortedNucleons[i]= *(theRWNucleons[myA-1-i]); // Uzhi 29.08.08 |
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188 | } |
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189 | theRWNucleons.clear(); // about to delete array elements these point to.... |
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190 | delete [] theNucleons; |
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191 | theNucleons=sortedNucleons; |
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192 | |
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193 | return; |
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194 | } |
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195 | |
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196 | G4double G4Fancy3DNucleus::BindingEnergy() |
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197 | { |
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198 | return G4NucleiProperties::GetBindingEnergy(myA,myZ); |
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199 | } |
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200 | |
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201 | |
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202 | G4double G4Fancy3DNucleus::GetNuclearRadius() |
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203 | { |
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204 | return GetNuclearRadius(0.5); |
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205 | } |
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206 | |
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207 | G4double G4Fancy3DNucleus::GetNuclearRadius(const G4double maxRelativeDensity) |
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208 | { |
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209 | return theDensity->GetRadius(maxRelativeDensity); |
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210 | } |
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211 | |
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212 | G4double G4Fancy3DNucleus::GetOuterRadius() |
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213 | { |
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214 | G4double maxradius2=0; |
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215 | |
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216 | for (int i=0; i<myA; i++) |
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217 | { |
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218 | if ( theNucleons[i].GetPosition().mag2() > maxradius2 ) |
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219 | { |
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220 | maxradius2=theNucleons[i].GetPosition().mag2(); |
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221 | } |
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222 | } |
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223 | return std::sqrt(maxradius2)+nucleondistance; |
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224 | } |
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225 | |
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226 | G4double G4Fancy3DNucleus::GetMass() |
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227 | { |
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228 | return myZ*G4Proton::Proton()->GetPDGMass() + |
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229 | (myA-myZ)*G4Neutron::Neutron()->GetPDGMass() - |
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230 | BindingEnergy(); |
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231 | } |
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232 | |
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233 | |
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234 | |
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235 | void G4Fancy3DNucleus::DoLorentzBoost(const G4LorentzVector & theBoost) |
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236 | { |
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237 | for (G4int i=0; i<myA; i++){ |
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238 | theNucleons[i].Boost(theBoost); |
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239 | } |
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240 | } |
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241 | |
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242 | void G4Fancy3DNucleus::DoLorentzBoost(const G4ThreeVector & theBeta) |
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243 | { |
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244 | for (G4int i=0; i<myA; i++){ |
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245 | theNucleons[i].Boost(theBeta); |
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246 | } |
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247 | } |
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248 | |
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249 | void G4Fancy3DNucleus::DoLorentzContraction(const G4ThreeVector & theBeta) |
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250 | { |
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251 | G4double factor=(1-std::sqrt(1-theBeta.mag2()))/theBeta.mag2(); // (gamma-1)/gamma/beta**2 |
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252 | for (G4int i=0; i< myA; i++) |
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253 | { |
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254 | G4ThreeVector rprime=theNucleons[i].GetPosition() - |
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255 | factor * (theBeta*theNucleons[i].GetPosition()) * |
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256 | // theNucleons[i].GetPosition(); |
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257 | theBeta; |
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258 | theNucleons[i].SetPosition(rprime); |
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259 | } |
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260 | } |
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261 | |
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262 | void G4Fancy3DNucleus::DoLorentzContraction(const G4LorentzVector & theBoost) |
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263 | { |
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264 | G4ThreeVector beta= 1/theBoost.e() * theBoost.vect(); |
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265 | // DoLorentzBoost(beta); |
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266 | DoLorentzContraction(beta); |
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267 | } |
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268 | |
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269 | |
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270 | |
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271 | void G4Fancy3DNucleus::CenterNucleons() |
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272 | { |
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273 | G4ThreeVector center; |
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274 | |
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275 | for (G4int i=0; i<myA; i++ ) |
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276 | { |
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277 | center+=theNucleons[i].GetPosition(); |
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278 | } |
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279 | center *= -1./myA; |
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280 | DoTranslation(center); |
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281 | } |
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282 | |
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283 | void G4Fancy3DNucleus::DoTranslation(const G4ThreeVector & theShift) |
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284 | { |
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285 | for (G4int i=0; i<myA; i++ ) |
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286 | { |
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287 | G4ThreeVector tempV = theNucleons[i].GetPosition() + theShift; |
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288 | theNucleons[i].SetPosition(tempV); |
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289 | } |
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290 | } |
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291 | |
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292 | const G4VNuclearDensity * G4Fancy3DNucleus::GetNuclearDensity() const |
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293 | { |
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294 | return theDensity; |
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295 | } |
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296 | |
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297 | //----------------------- private Implementation Methods------------- |
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298 | |
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299 | void G4Fancy3DNucleus::ChooseNucleons() |
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300 | { |
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301 | G4int protons=0,nucleons=0; |
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302 | |
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303 | while (nucleons < myA ) |
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304 | { |
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305 | if ( protons < myZ && G4UniformRand() < (G4double)(myZ-protons)/(G4double)(myA-nucleons) ) |
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306 | { |
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307 | protons++; |
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308 | theNucleons[nucleons++].SetParticleType(G4Proton::Proton()); |
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309 | } |
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310 | else if ( (nucleons-protons) < (myA-myZ) ) |
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311 | { |
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312 | theNucleons[nucleons++].SetParticleType(G4Neutron::Neutron()); |
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313 | } |
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314 | else G4cout << "G4Fancy3DNucleus::ChooseNucleons not efficient" << G4endl; |
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315 | } |
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316 | return; |
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317 | } |
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318 | |
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319 | void G4Fancy3DNucleus::ChoosePositions() |
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320 | { |
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321 | G4int i=0; |
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322 | G4ThreeVector aPos, delta; |
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323 | std::vector<G4ThreeVector> places; |
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324 | places.reserve(myA); |
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325 | G4bool freeplace; |
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326 | static G4double nd2 = sqr(nucleondistance); |
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327 | G4double maxR=GetNuclearRadius(0.001); // there are no nucleons at a |
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328 | // relative Density of 0.01 |
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329 | G4int jr=0; |
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330 | G4int jx,jy; |
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331 | G4double arand[600]; |
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332 | G4double *prand=arand; |
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333 | while ( i < myA ) |
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334 | { |
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335 | do |
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336 | { |
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337 | if ( jr < 3 ) |
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338 | { |
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339 | jr=std::min(600,9*(myA - i)); |
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340 | CLHEP::RandFlat::shootArray(jr, prand ); |
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341 | } |
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342 | jx=--jr; |
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343 | jy=--jr; |
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344 | aPos=G4ThreeVector( (2*arand[jx]-1.), |
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345 | (2*arand[jy]-1.), |
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346 | (2*arand[--jr]-1.)); |
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347 | } while (aPos.mag2() > 1. ); |
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348 | aPos *=maxR; |
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349 | G4double density=theDensity->GetRelativeDensity(aPos); |
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350 | if (G4UniformRand() < density) |
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351 | { |
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352 | freeplace= true; |
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353 | std::vector<G4ThreeVector>::iterator iplace; |
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354 | for( iplace=places.begin(); iplace!=places.end() && freeplace;++iplace) |
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355 | { |
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356 | delta = *iplace - aPos; |
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357 | freeplace= delta.mag2() > nd2; |
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358 | } |
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359 | |
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360 | if ( freeplace ) |
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361 | { |
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362 | G4double pFermi=theFermi.GetFermiMomentum(theDensity->GetDensity(aPos)); |
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363 | // protons must at least have binding energy of CoulombBarrier, so |
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364 | // assuming the Fermi energy corresponds to a potential, we must place these such |
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365 | // that the Fermi Energy > CoulombBarrier |
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366 | if (theNucleons[i].GetDefinition() == G4Proton::Proton()) |
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367 | { |
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368 | G4double eFermi= std::sqrt( sqr(pFermi) + sqr(theNucleons[i].GetDefinition()->GetPDGMass()) ) |
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369 | - theNucleons[i].GetDefinition()->GetPDGMass(); |
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370 | if (eFermi <= CoulombBarrier() ) freeplace=false; |
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371 | } |
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372 | } |
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373 | if ( freeplace ) |
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374 | { |
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375 | theNucleons[i].SetPosition(aPos); |
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376 | places.push_back(aPos); |
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377 | ++i; |
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378 | } |
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379 | } |
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380 | } |
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381 | |
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382 | } |
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383 | |
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384 | void G4Fancy3DNucleus::ChooseFermiMomenta() |
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385 | { |
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386 | G4int i; |
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387 | G4double density; |
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388 | G4ThreeVector * momentum=new G4ThreeVector[myA]; |
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389 | |
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390 | G4double * fermiM=new G4double[myA]; |
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391 | |
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392 | for (G4int ntry=0; ntry<1 ; ntry ++ ) |
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393 | { |
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394 | for (i=0; i < myA; i++ ) // momenta for all, including last, in case we swap nucleons |
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395 | { |
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396 | density = theDensity->GetDensity(theNucleons[i].GetPosition()); |
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397 | fermiM[i] = theFermi.GetFermiMomentum(density); |
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398 | G4ThreeVector mom=theFermi.GetMomentum(density); |
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399 | if (theNucleons[i].GetDefinition() == G4Proton::Proton()) |
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400 | { |
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401 | G4double eMax = std::sqrt(sqr(fermiM[i]) +sqr(theNucleons[i].GetDefinition()->GetPDGMass()) ) |
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402 | - CoulombBarrier(); |
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403 | if ( eMax > theNucleons[i].GetDefinition()->GetPDGMass() ) |
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404 | { |
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405 | G4double pmax2= sqr(eMax) - sqr(theNucleons[i].GetDefinition()->GetPDGMass()); |
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406 | fermiM[i] = std::sqrt(pmax2); |
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407 | while ( mom.mag2() > pmax2 ) |
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408 | { |
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409 | mom=theFermi.GetMomentum(density, fermiM[i]); |
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410 | } |
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411 | } else |
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412 | { |
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413 | G4cerr << "G4Fancy3DNucleus: difficulty finding proton momentum" << G4endl; |
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414 | mom=G4ThreeVector(0,0,0); |
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415 | } |
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416 | |
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417 | } |
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418 | momentum[i]= mom; |
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419 | } |
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420 | |
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421 | if (ReduceSum(momentum,fermiM) ) |
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422 | break; |
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423 | // G4cout <<" G4FancyNucleus: iterating to find momenta: "<< ntry<< G4endl; |
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424 | } |
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425 | |
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426 | // G4ThreeVector sum; |
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427 | // for (G4int index=0; index<myA;sum+=momentum[index++]) |
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428 | // ; |
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429 | // G4cout << "final sum / mag() " << sum << " / " << sum.mag() << G4endl; |
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430 | |
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431 | G4double energy; |
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432 | for ( i=0; i< myA ; i++ ) |
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433 | { |
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434 | energy = theNucleons[i].GetParticleType()->GetPDGMass() |
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435 | - BindingEnergy()/myA; |
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436 | G4LorentzVector tempV(momentum[i],energy); |
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437 | theNucleons[i].SetMomentum(tempV); |
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438 | } |
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439 | |
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440 | delete [] momentum; |
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441 | delete [] fermiM; |
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442 | } |
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443 | |
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444 | class G4Fancy3DNucleusHelper // Helper class |
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445 | { |
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446 | public: |
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447 | G4Fancy3DNucleusHelper(const G4ThreeVector &vec,const G4double size,const G4int index) |
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448 | : Vector(vec), Size(size), anInt(index) {} |
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449 | int operator ==(const G4Fancy3DNucleusHelper &right) const |
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450 | { |
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451 | return this==&right; |
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452 | } |
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453 | int operator < (const G4Fancy3DNucleusHelper &right) const |
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454 | { |
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455 | return size()<right.size(); |
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456 | } |
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457 | const G4ThreeVector& vector() const |
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458 | { |
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459 | return Vector; |
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460 | } |
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461 | G4double size() const |
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462 | { |
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463 | return Size; |
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464 | } |
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465 | G4int index() const |
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466 | { |
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467 | return anInt; |
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468 | } |
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469 | G4Fancy3DNucleusHelper operator =(const G4Fancy3DNucleusHelper &right) |
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470 | { |
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471 | Vector = right.Vector; |
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472 | Size = right.Size; |
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473 | anInt = right.anInt; |
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474 | return *this; |
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475 | } |
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476 | |
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477 | private: |
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478 | G4Fancy3DNucleusHelper(): Vector(0), Size(0), anInt(0) {G4cout << "def ctor for MixMasch" << G4endl;} |
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479 | G4ThreeVector Vector; |
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480 | G4double Size; |
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481 | G4int anInt; |
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482 | }; |
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483 | |
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484 | G4bool G4Fancy3DNucleus::ReduceSum(G4ThreeVector * momentum, G4double *pFermiM) |
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485 | { |
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486 | G4ThreeVector sum; |
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487 | G4double PFermi=pFermiM[myA-1]; |
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488 | |
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489 | for (G4int i=0; i < myA-1 ; i++ ) |
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490 | { sum+=momentum[i]; } |
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491 | |
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492 | // check if have to do anything at all.. |
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493 | if ( sum.mag() <= PFermi ) |
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494 | { |
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495 | momentum[myA-1]=-sum; |
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496 | return true; |
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497 | } |
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498 | |
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499 | // find all possible changes in momentum, changing only the component parallel to sum |
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500 | G4ThreeVector testDir=sum.unit(); |
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501 | std::vector<G4Fancy3DNucleusHelper> testSums; // Sorted on delta.mag() |
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502 | |
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503 | for ( G4int aNucleon=0; aNucleon < myA-1; aNucleon++){ |
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504 | G4ThreeVector delta=2*((momentum[aNucleon]*testDir)* testDir); |
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505 | testSums.push_back(G4Fancy3DNucleusHelper(delta,delta.mag(),aNucleon)); |
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506 | } |
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507 | std::sort(testSums.begin(), testSums.end()); |
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508 | |
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509 | // reduce Momentum Sum until the next would be allowed. |
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510 | G4int index=testSums.size(); |
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511 | while ( (sum-testSums[--index].vector()).mag()>PFermi && index>0) |
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512 | { |
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513 | // Only take one which improve, ie. don't change sign and overshoot... |
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514 | if ( sum.mag() > (sum-testSums[index].vector()).mag() ) { |
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515 | momentum[testSums[index].index()]-=testSums[index].vector(); |
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516 | sum-=testSums[index].vector(); |
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517 | } |
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518 | } |
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519 | |
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520 | if ( (sum-testSums[index].vector()).mag() <= PFermi ) |
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521 | { |
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522 | G4int best=-1; |
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523 | G4double pBest=2*PFermi; // anything larger than PFermi |
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524 | for ( G4int aNucleon=0; aNucleon<=index; aNucleon++) |
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525 | { |
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526 | // find the momentum closest to choosen momentum for last Nucleon. |
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527 | G4double pTry=(testSums[aNucleon].vector()-sum).mag(); |
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528 | if ( pTry < PFermi |
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529 | && std::abs(momentum[myA-1].mag() - pTry ) < pBest ) |
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530 | { |
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531 | pBest=std::abs(momentum[myA-1].mag() - pTry ); |
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532 | best=aNucleon; |
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533 | } |
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534 | } |
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535 | if ( best < 0 ) |
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536 | { |
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537 | G4String text = "G4Fancy3DNucleus.cc: Logic error in ReduceSum()"; |
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538 | throw G4HadronicException(__FILE__, __LINE__, text); |
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539 | } |
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540 | momentum[testSums[best].index()]-=testSums[best].vector(); |
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541 | momentum[myA-1]=testSums[best].vector()-sum; |
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542 | |
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543 | testSums.clear(); |
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544 | return true; |
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545 | |
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546 | } |
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547 | testSums.clear(); |
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548 | |
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549 | // try to compensate momentum using another Nucleon.... |
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550 | |
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551 | G4int swapit=-1; |
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552 | while (swapit<myA-1) |
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553 | { |
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554 | if ( pFermiM[++swapit] > PFermi ) break; |
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555 | } |
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556 | if (swapit == myA-1 ) return false; |
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557 | |
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558 | // Now we have a nucleon with a bigger Fermi Momentum. |
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559 | // Exchange with last nucleon.. and iterate. |
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560 | G4Nucleon swap= theNucleons[swapit]; |
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561 | G4ThreeVector mom_swap=momentum[swapit]; |
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562 | G4double pf=pFermiM[swapit]; |
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563 | theNucleons[swapit]=theNucleons[myA-1]; |
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564 | momentum[swapit]=momentum[myA-1]; |
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565 | pFermiM[swapit]=pFermiM[myA-1]; |
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566 | theNucleons[myA-1]=swap; |
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567 | momentum[myA-1]=mom_swap; |
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568 | pFermiM[myA-1]=pf; |
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569 | return ReduceSum(momentum,pFermiM); |
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570 | } |
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571 | |
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572 | G4double G4Fancy3DNucleus::CoulombBarrier() |
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573 | { |
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574 | G4double coulombBarrier = (1.44/1.14) * MeV * myZ / (1.0 + std::pow(G4double(myA),1./3.)); |
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575 | return coulombBarrier; |
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576 | } |
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