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2 | // ******************************************************************** |
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24 | // ******************************************************************** |
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25 | // |
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26 | //$Id: G4AnalyticalEcpssrKCrossSection.cc,v 1.2 2010/06/09 07:15:50 mantero Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-04-beta-cand-01 $ |
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28 | // |
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29 | |
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30 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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31 | |
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32 | #include "globals.hh" |
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33 | #include "G4AnalyticalEcpssrKCrossSection.hh" |
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34 | #include "G4AtomicTransitionManager.hh" |
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35 | #include "G4NistManager.hh" |
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36 | #include "G4Proton.hh" |
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37 | #include "G4Alpha.hh" |
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38 | #include <math.h> |
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39 | #include <iostream> |
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40 | #include "G4SemiLogInterpolation.hh" |
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41 | |
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42 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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43 | |
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44 | G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() |
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45 | { |
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46 | // Storing FK data needed for medium velocities region |
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47 | |
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48 | char *path = getenv("G4LEDATA"); |
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49 | |
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50 | if (!path) |
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51 | G4Exception("G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() G4LEDATA environment variable not set"); |
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52 | |
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53 | std::ostringstream fileName; |
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54 | fileName << path << "/pixe/uf/FK.dat"; |
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55 | std::ifstream FK(fileName.str().c_str()); |
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56 | |
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57 | if (!FK) G4Exception("G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() error opening FK data file"); |
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58 | |
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59 | dummyVec.push_back(0.); |
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60 | |
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61 | while(!FK.eof()) |
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62 | { |
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63 | double x; |
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64 | double y; |
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65 | |
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66 | FK>>x>>y; |
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67 | |
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68 | // Mandatory vector initialization |
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69 | if (x != dummyVec.back()) |
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70 | { |
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71 | dummyVec.push_back(x); |
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72 | aVecMap[x].push_back(-1.); |
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73 | } |
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74 | |
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75 | FK>>FKData[x][y]; |
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76 | |
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77 | if (y != aVecMap[x].back()) aVecMap[x].push_back(y); |
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78 | |
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79 | } |
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80 | |
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81 | // Storing C coefficients for high velocity formula |
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82 | |
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83 | G4String fileC1("pixe/uf/c1"); |
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84 | tableC1 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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85 | tableC1->LoadData(fileC1); |
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86 | |
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87 | G4String fileC2("pixe/uf/c2"); |
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88 | tableC2 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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89 | tableC2->LoadData(fileC2); |
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90 | |
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91 | G4String fileC3("pixe/uf/c3"); |
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92 | tableC3 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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93 | tableC3->LoadData(fileC3); |
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94 | |
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95 | // |
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96 | |
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97 | verboseLevel=0; |
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98 | } |
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99 | |
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100 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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101 | |
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102 | void print (G4double elem) |
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103 | { |
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104 | G4cout << elem << " "; |
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105 | } |
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106 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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107 | |
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108 | G4AnalyticalEcpssrKCrossSection::~G4AnalyticalEcpssrKCrossSection() |
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109 | { |
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110 | |
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111 | delete tableC1; |
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112 | delete tableC2; |
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113 | delete tableC3; |
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114 | |
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115 | } |
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116 | |
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117 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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118 | |
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119 | G4double G4AnalyticalEcpssrKCrossSection::ExpIntFunction(G4int n,G4double x) |
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120 | |
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121 | { |
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122 | // this "ExpIntFunction" function allows fast evaluation of the n order exponential integral function En(x) |
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123 | |
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124 | G4int i; |
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125 | G4int ii; |
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126 | G4int nm1; |
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127 | G4double a; |
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128 | G4double b; |
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129 | G4double c; |
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130 | G4double d; |
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131 | G4double del; |
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132 | G4double fact; |
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133 | G4double h; |
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134 | G4double psi; |
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135 | G4double ans = 0; |
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136 | const G4double euler= 0.5772156649; |
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137 | const G4int maxit= 100; |
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138 | const G4double fpmin = 1.0e-30; |
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139 | const G4double eps = 1.0e-7; |
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140 | nm1=n-1; |
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141 | if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) { |
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142 | G4cout << "G4AnalyticalEcpssrKCrossSection::ExpIntFunction: VERY Bad arguments in ExpIntFunction" << G4endl; |
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143 | G4cout << n << ", " << x << G4endl; |
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144 | } |
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145 | else { |
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146 | if (n==0) ans=std::exp(-x)/x; |
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147 | else { |
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148 | if (x==0.0) ans=1.0/nm1; |
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149 | else { |
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150 | if (x > 1.0) { |
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151 | b=x+n; |
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152 | c=1.0/fpmin; |
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153 | d=1.0/b; |
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154 | h=d; |
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155 | for (i=1;i<=maxit;i++) { |
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156 | a=-i*(nm1+i); |
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157 | b +=2.0; |
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158 | d=1.0/(a*d+b); |
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159 | c=b+a/c; |
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160 | del=c*d; |
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161 | h *=del; |
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162 | if (std::fabs(del-1.0) < eps) { |
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163 | ans=h*std::exp(-x); |
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164 | return ans; |
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165 | } |
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166 | } |
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167 | } else { |
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168 | ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler); |
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169 | fact=1.0; |
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170 | for (i=1;i<=maxit;i++) { |
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171 | fact *=-x/i; |
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172 | if (i !=nm1) del = -fact/(i-nm1); |
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173 | else { |
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174 | psi = -euler; |
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175 | for (ii=1;ii<=nm1;ii++) psi +=1.0/ii; |
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176 | del=fact*(-std::log(x)+psi); |
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177 | } |
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178 | ans += del; |
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179 | if (std::fabs(del) < std::fabs(ans)*eps) return ans; |
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180 | } |
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181 | } |
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182 | } |
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183 | } |
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184 | } |
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185 | return ans; |
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186 | } |
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187 | |
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188 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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189 | |
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190 | |
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191 | G4double G4AnalyticalEcpssrKCrossSection::CalculateCrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
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192 | |
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193 | { |
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194 | |
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195 | // this K-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
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196 | |
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197 | G4NistManager* massManager = G4NistManager::Instance(); |
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198 | |
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199 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
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200 | |
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201 | G4double zIncident = 0; |
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202 | G4Proton* aProtone = G4Proton::Proton(); |
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203 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
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204 | |
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205 | if (massIncident == aProtone->GetPDGMass() ) |
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206 | { |
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207 | zIncident = (aProtone->GetPDGCharge())/eplus; |
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208 | } |
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209 | else |
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210 | { |
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211 | if (massIncident == aAlpha->GetPDGMass()) |
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212 | { |
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213 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
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214 | } |
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215 | else |
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216 | { |
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217 | G4cout << "*** WARNING in G4AnalyticalEcpssrKCrossSection::CalculateCrossSection : we can treat only Proton or Alpha incident particles " << G4endl; |
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218 | return 0; |
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219 | } |
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220 | } |
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221 | |
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222 | if (verboseLevel>0) G4cout << " massIncident=" << massIncident<< G4endl; |
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223 | |
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224 | G4double kBindingEnergy = transitionManager->Shell(zTarget,0)->BindingEnergy(); |
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225 | |
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226 | if (verboseLevel>0) G4cout << " kBindingEnergy=" << kBindingEnergy/eV<< G4endl; |
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227 | |
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228 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
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229 | |
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230 | if (verboseLevel>0) G4cout << " massTarget=" << massTarget<< G4endl; |
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231 | |
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232 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //the mass of the system (projectile, target) |
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233 | |
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234 | if (verboseLevel>0) G4cout << " systemMass=" << systemMass<< G4endl; |
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235 | |
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236 | const G4double zkshell= 0.3; |
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237 | |
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238 | G4double screenedzTarget = zTarget-zkshell; // screenedzTarget is the screened nuclear charge of the target |
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239 | |
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240 | const G4double rydbergMeV= 13.6056923e-6; |
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241 | |
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242 | G4double tetaK = kBindingEnergy/((screenedzTarget*screenedzTarget)*rydbergMeV); //tetaK denotes the reduced binding energy of the electron |
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243 | |
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244 | if (verboseLevel>0) G4cout << " tetaK=" << tetaK<< G4endl; |
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245 | |
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246 | G4double velocity =(2./(tetaK*screenedzTarget))*std::pow(((energyIncident*electron_mass_c2)/(massIncident*rydbergMeV)),0.5); |
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247 | |
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248 | if (verboseLevel>0) G4cout << " velocity=" << velocity<< G4endl; |
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249 | |
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250 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
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251 | |
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252 | if (verboseLevel>0) G4cout << " bohrPow2Barn=" << bohrPow2Barn<< G4endl; |
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253 | |
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254 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); //sigma0 is the initial cross section of K shell at stable state |
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255 | |
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256 | if (verboseLevel>0) G4cout << " sigma0=" << sigma0<< G4endl; |
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257 | |
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258 | const G4double kAnalyticalApproximation= 1.5; |
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259 | |
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260 | G4double x = kAnalyticalApproximation/velocity; |
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261 | |
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262 | if (verboseLevel>0) G4cout << " x=" << x<< G4endl; |
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263 | |
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264 | G4double electrIonizationEnergy; |
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265 | |
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266 | if ((0.< x) && (x <= 0.035)) |
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267 | { |
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268 | electrIonizationEnergy= 0.75*pi*(std::log(1./(x*x))-1.); |
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269 | } |
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270 | else |
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271 | { |
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272 | if ( (0.035 < x) && (x <=3.)) |
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273 | { |
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274 | electrIonizationEnergy =std::exp(-2.*x)/(0.031+(0.213*std::pow(x,0.5))+(0.005*x)-(0.069*std::pow(x,3./2.))+(0.324*x*x)); |
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275 | } |
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276 | |
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277 | else |
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278 | { |
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279 | if ( (3.< x) && (x<=11.)) |
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280 | { |
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281 | electrIonizationEnergy =2.*std::exp(-2.*x)/std::pow(x,1.6); |
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282 | } |
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283 | |
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284 | else electrIonizationEnergy =0.; |
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285 | } |
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286 | } |
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287 | |
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288 | if (verboseLevel>0) G4cout << " electrIonizationEnergy=" << electrIonizationEnergy<< G4endl; |
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289 | |
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290 | G4double hFunction =(electrIonizationEnergy*2.)/(tetaK*std::pow(velocity,3)); //hFunction represents the correction for polarization effet |
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291 | |
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292 | if (verboseLevel>0) G4cout << " hFunction=" << hFunction<< G4endl; |
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293 | |
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294 | G4double gFunction = (1.+(9.*velocity)+(31.*velocity*velocity)+(98.*std::pow(velocity,3.))+(12.*std::pow(velocity,4.))+(25.*std::pow(velocity,5.)) |
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295 | +(4.2*std::pow(velocity,6.))+(0.515*std::pow(velocity,7.)))/std::pow(1.+velocity,9.); //gFunction represents the correction for binding effet |
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296 | if (verboseLevel>0) G4cout << " gFunction=" << gFunction<< G4endl; |
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297 | |
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298 | //----------------------------------------------------------------------------------------------------------------------------- |
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299 | |
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300 | G4double sigmaPSS = 1.+(((2.*zIncident)/(screenedzTarget*tetaK))*(gFunction-hFunction)); //describes the perturbed stationnairy state of the affected atomic electon |
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301 | |
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302 | if (verboseLevel>0) G4cout << " sigmaPSS=" << sigmaPSS<< G4endl; |
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303 | |
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304 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK<< G4endl; |
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305 | |
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306 | //---------------------------------------------------------------------------------------------------------------------------- |
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307 | |
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308 | const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
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309 | |
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310 | if (verboseLevel>0) G4cout << " cNaturalUnit=" << cNaturalUnit<< G4endl; |
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311 | |
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312 | G4double ykFormula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocity/sigmaPSS); |
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313 | |
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314 | if (verboseLevel>0) G4cout << " ykFormula=" << ykFormula<< G4endl; |
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315 | |
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316 | G4double relativityCorrection = std::pow((1.+(1.1*ykFormula*ykFormula)),0.5)+ykFormula;// the relativistic correction parameter |
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317 | |
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318 | if (verboseLevel>0) G4cout << " relativityCorrection=" << relativityCorrection<< G4endl; |
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319 | |
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320 | G4double reducedVelocity = velocity*std::pow(relativityCorrection,0.5); // presents the reduced collision velocity parameter |
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321 | |
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322 | if (verboseLevel>0) G4cout << " reducedVelocity=" << reducedVelocity<< G4endl; |
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323 | |
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324 | G4double etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget) |
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325 | /(sigmaPSS*tetaK)/(sigmaPSS*tetaK); |
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326 | |
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327 | if (verboseLevel>0) G4cout << " etaOverTheta2=" << etaOverTheta2<< G4endl; |
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328 | |
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329 | G4double universalFunction = 0; |
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330 | |
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331 | // low velocity formula |
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332 | |
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333 | if ( velocity < 1. ) |
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334 | { |
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335 | if (verboseLevel>0) G4cout << " Notice : FK is computed from low velocity formula" << G4endl; |
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336 | |
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337 | universalFunction = (std::pow(2.,9.)/45.)*std::pow(reducedVelocity/sigmaPSS,8.)*std::pow((1.+(1.72*(reducedVelocity/sigmaPSS)*(reducedVelocity/sigmaPSS))),-4.);// is the reduced universal cross section |
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338 | |
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339 | |
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340 | if (verboseLevel>0) G4cout << " universalFunction by Brandt 1981 =" << universalFunction<< G4endl; |
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341 | |
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342 | } |
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343 | |
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344 | else |
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345 | |
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346 | { |
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347 | |
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348 | if ( etaOverTheta2 > 86.6 && (sigmaPSS*tetaK) > 0.4 && (sigmaPSS*tetaK) < 2.9996 ) |
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349 | { |
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350 | // High and medium energies. Method from Rice 1977 on tabvles from Benka 1978 |
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351 | |
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352 | if (verboseLevel>0) G4cout << " Notice : FK is computed from high velocity formula" << G4endl; |
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353 | |
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354 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK << G4endl; |
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355 | |
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356 | G4double C1= tableC1->FindValue(sigmaPSS*tetaK); |
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357 | G4double C2= tableC2->FindValue(sigmaPSS*tetaK); |
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358 | G4double C3= tableC3->FindValue(sigmaPSS*tetaK); |
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359 | |
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360 | if (verboseLevel>0) G4cout << " C1=" << C1 << G4endl; |
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361 | if (verboseLevel>0) G4cout << " C2=" << C2 << G4endl; |
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362 | if (verboseLevel>0) G4cout << " C3=" << C3 << G4endl; |
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363 | |
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364 | G4double etaK = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
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365 | |
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366 | if (verboseLevel>0) G4cout << " etaK=" << etaK << G4endl; |
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367 | |
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368 | G4double etaT = (sigmaPSS*tetaK)*(sigmaPSS*tetaK)*(86.6); // at any theta, the largest tabulated etaOverTheta2 is 86.6 |
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369 | |
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370 | if (verboseLevel>0) G4cout << " etaT=" << etaT << G4endl; |
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371 | |
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372 | G4double fKT = FunctionFK((sigmaPSS*tetaK),86.6)*(etaT/(sigmaPSS*tetaK)); |
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373 | |
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374 | if (FunctionFK((sigmaPSS*tetaK),86.6)<=0.) |
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375 | { |
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376 | G4cout << |
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377 | "*** WARNING in G4AnalyticalEcpssrKCrossSection::CalculateCrossSection : unable to interpolate FK function in high velocity region ! ***" << G4endl; |
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378 | return 0; |
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379 | } |
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380 | |
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381 | if (verboseLevel>0) G4cout << " FunctionFK=" << FunctionFK((sigmaPSS*tetaK),86.6) << G4endl; |
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382 | |
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383 | if (verboseLevel>0) G4cout << " fKT=" << fKT << G4endl; |
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384 | |
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385 | G4double GK = C2/(4*etaK) + C3/(32*etaK*etaK); |
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386 | |
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387 | if (verboseLevel>0) G4cout << " GK=" << GK << G4endl; |
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388 | |
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389 | G4double GT = C2/(4*etaT) + C3/(32*etaT*etaT); |
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390 | |
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391 | if (verboseLevel>0) G4cout << " GT=" << GT << G4endl; |
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392 | |
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393 | G4double DT = fKT - C1*std::log(etaT) + GT; |
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394 | |
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395 | if (verboseLevel>0) G4cout << " DT=" << DT << G4endl; |
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396 | |
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397 | G4double fKK = C1*std::log(etaK) + DT - GK; |
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398 | |
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399 | if (verboseLevel>0) G4cout << " fKK=" << fKK << G4endl; |
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400 | |
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401 | G4double universalFunction3= fKK/(etaK/tetaK); |
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402 | |
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403 | if (verboseLevel>0) G4cout << " universalFunction3=" << universalFunction3 << G4endl; |
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404 | |
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405 | universalFunction=universalFunction3; |
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406 | |
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407 | } |
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408 | |
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409 | else if ( etaOverTheta2 >= 1.e-3 && etaOverTheta2 <= 86.6 && (sigmaPSS*tetaK) >= 0.4 && (sigmaPSS*tetaK) <= 2.9996 ) |
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410 | |
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411 | { |
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412 | // From Benka 1978 |
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413 | |
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414 | if (verboseLevel>0) G4cout << " Notice : FK is computed from INTERPOLATED data" << G4endl; |
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415 | |
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416 | G4double universalFunction2 = FunctionFK((sigmaPSS*tetaK),etaOverTheta2); |
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417 | |
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418 | if (universalFunction2<=0) |
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419 | { |
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420 | G4cout << |
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421 | "*** WARNING : G4AnalyticalEcpssrKCrossSection::CalculateCrossSection is unable to interpolate FK function in medium velocity region ! ***" << G4endl; |
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422 | return 0; |
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423 | } |
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424 | |
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425 | if (verboseLevel>0) G4cout << " universalFunction2=" << universalFunction2 << " for theta=" << sigmaPSS*tetaK << " and etaOverTheta2=" << etaOverTheta2 << G4endl; |
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426 | |
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427 | universalFunction=universalFunction2; |
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428 | } |
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429 | |
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430 | } |
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431 | |
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432 | //---------------------------------------------------------------------------------------------------------------------- |
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433 | |
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434 | G4double sigmaPSSR = (sigma0/(sigmaPSS*tetaK))*universalFunction; //sigmaPSSR is the straight-line K-shell ionization cross section |
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435 | |
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436 | if (verboseLevel>0) G4cout << " sigmaPSSR=" << sigmaPSSR<< G4endl; |
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437 | |
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438 | //----------------------------------------------------------------------------------------------------------------------- |
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439 | |
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440 | G4double pssDeltaK = (4./(systemMass*sigmaPSS*tetaK))*(sigmaPSS/velocity)*(sigmaPSS/velocity); |
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441 | |
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442 | if (verboseLevel>0) G4cout << " pssDeltaK=" << pssDeltaK<< G4endl; |
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443 | |
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444 | G4double energyLoss = std::pow(1-pssDeltaK,0.5); //energyLoss incorporates the straight-line energy-loss |
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445 | |
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446 | if (verboseLevel>0) G4cout << " energyLoss=" << energyLoss<< G4endl; |
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447 | |
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448 | G4double energyLossFunction = (std::pow(2.,-9)/8.)*((((9.*energyLoss)-1.)*std::pow(1.+energyLoss,9.))+(((9.*energyLoss)+1.)*std::pow(1.-energyLoss,9.)));//energy loss function |
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449 | |
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450 | if (verboseLevel>0) G4cout << " energyLossFunction=" << energyLossFunction<< G4endl; |
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451 | |
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452 | //---------------------------------------------------------------------------------------------------------------------------------------------- |
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453 | |
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454 | G4double coulombDeflection = (4.*pi*zIncident/systemMass)*std::pow(tetaK*sigmaPSS,-2.)*std::pow(velocity/sigmaPSS,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
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455 | |
---|
456 | if (verboseLevel>0) G4cout << " cParameter-short=" << coulombDeflection<< G4endl; |
---|
457 | |
---|
458 | G4double cParameter = 2.*coulombDeflection/(energyLoss*(energyLoss+1.)); |
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459 | |
---|
460 | if (verboseLevel>0) G4cout << " cParameter-full=" << cParameter<< G4endl; |
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461 | |
---|
462 | G4double coulombDeflectionFunction = 9.*ExpIntFunction(10,cParameter); //this function describes Coulomb-deflection effect |
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463 | |
---|
464 | if (verboseLevel>0) G4cout << " ExpIntFunction(10,cParameter) =" << ExpIntFunction(10,cParameter) << G4endl; |
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465 | |
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466 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction =" << coulombDeflectionFunction << G4endl; |
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467 | |
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468 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
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469 | |
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470 | G4double crossSection = 0; |
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471 | |
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472 | crossSection = energyLossFunction* coulombDeflectionFunction*sigmaPSSR; //this ECPSSR cross section is estimated at perturbed-stationnairy-state(PSS) |
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473 | //and it's reduced by the energy-loss(E),the Coulomb deflection(C), |
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474 | //and the relativity(R) effects |
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475 | |
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476 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
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477 | |
---|
478 | if (crossSection >= 0) { |
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479 | return crossSection; |
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480 | } |
---|
481 | else {return 0;} |
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482 | |
---|
483 | } |
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484 | |
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485 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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486 | |
---|
487 | G4double G4AnalyticalEcpssrKCrossSection::FunctionFK(G4double k, G4double theta) |
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488 | { |
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489 | |
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490 | G4double sigma = 0.; |
---|
491 | G4double valueT1 = 0; |
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492 | G4double valueT2 = 0; |
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493 | G4double valueE21 = 0; |
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494 | G4double valueE22 = 0; |
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495 | G4double valueE12 = 0; |
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496 | G4double valueE11 = 0; |
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497 | G4double xs11 = 0; |
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498 | G4double xs12 = 0; |
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499 | G4double xs21 = 0; |
---|
500 | G4double xs22 = 0; |
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501 | |
---|
502 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values |
---|
503 | // (in particular for FK computation at 8.66EXX for high velocity formula) |
---|
504 | |
---|
505 | if ( |
---|
506 | theta==8.66e-3 || |
---|
507 | theta==8.66e-2 || |
---|
508 | theta==8.66e-1 || |
---|
509 | theta==8.66e+0 || |
---|
510 | theta==8.66e+1 |
---|
511 | ) theta=theta-1e-12; |
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512 | |
---|
513 | if ( |
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514 | theta==1.e-3 || |
---|
515 | theta==1.e-2 || |
---|
516 | theta==1.e-1 || |
---|
517 | theta==1.e+00 || |
---|
518 | theta==1.e+01 |
---|
519 | ) theta=theta+1e-12; |
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520 | |
---|
521 | // END PROTECTION |
---|
522 | |
---|
523 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k); |
---|
524 | std::vector<double>::iterator t1 = t2-1; |
---|
525 | |
---|
526 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta); |
---|
527 | std::vector<double>::iterator e11 = e12-1; |
---|
528 | |
---|
529 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta); |
---|
530 | std::vector<double>::iterator e21 = e22-1; |
---|
531 | |
---|
532 | valueT1 =*t1; |
---|
533 | valueT2 =*t2; |
---|
534 | valueE21 =*e21; |
---|
535 | valueE22 =*e22; |
---|
536 | valueE12 =*e12; |
---|
537 | valueE11 =*e11; |
---|
538 | |
---|
539 | xs11 = FKData[valueT1][valueE11]; |
---|
540 | xs12 = FKData[valueT1][valueE12]; |
---|
541 | xs21 = FKData[valueT2][valueE21]; |
---|
542 | xs22 = FKData[valueT2][valueE22]; |
---|
543 | |
---|
544 | /* |
---|
545 | if (verboseLevel>0) |
---|
546 | { |
---|
547 | G4cout << "x1= " << valueT1 << G4endl; |
---|
548 | G4cout << " vector of y for x1" << G4endl; |
---|
549 | for_each (aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), print); |
---|
550 | G4cout << G4endl; |
---|
551 | G4cout << "x2= " << valueT2 << G4endl; |
---|
552 | G4cout << " vector of y for x2" << G4endl; |
---|
553 | for_each (aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), print); |
---|
554 | |
---|
555 | G4cout << G4endl; |
---|
556 | G4cout |
---|
557 | << " " |
---|
558 | << valueT1 << " " |
---|
559 | << valueT2 << " " |
---|
560 | << valueE11 << " " |
---|
561 | << valueE12 << " " |
---|
562 | << valueE21<< " " |
---|
563 | << valueE22 << " " |
---|
564 | << xs11 << " " |
---|
565 | << xs12 << " " |
---|
566 | << xs21 << " " |
---|
567 | << xs22 << " " |
---|
568 | << G4endl; |
---|
569 | } |
---|
570 | */ |
---|
571 | |
---|
572 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
573 | |
---|
574 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
575 | |
---|
576 | if (xsProduct != 0.) |
---|
577 | { |
---|
578 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
579 | valueE21, valueE22, |
---|
580 | xs11, xs12, |
---|
581 | xs21, xs22, |
---|
582 | valueT1, valueT2, |
---|
583 | k, theta ); |
---|
584 | } |
---|
585 | |
---|
586 | return sigma; |
---|
587 | } |
---|
588 | |
---|
589 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
590 | |
---|
591 | G4double G4AnalyticalEcpssrKCrossSection::LinLogInterpolate(G4double e1, |
---|
592 | G4double e2, |
---|
593 | G4double e, |
---|
594 | G4double xs1, |
---|
595 | G4double xs2) |
---|
596 | { |
---|
597 | G4double d1 = std::log(xs1); |
---|
598 | G4double d2 = std::log(xs2); |
---|
599 | G4double value = std::exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1)); |
---|
600 | return value; |
---|
601 | } |
---|
602 | |
---|
603 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
604 | |
---|
605 | G4double G4AnalyticalEcpssrKCrossSection::LogLogInterpolate(G4double e1, |
---|
606 | G4double e2, |
---|
607 | G4double e, |
---|
608 | G4double xs1, |
---|
609 | G4double xs2) |
---|
610 | { |
---|
611 | G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1)); |
---|
612 | G4double b = std::log10(xs2) - a*std::log10(e2); |
---|
613 | G4double sigma = a*std::log10(e) + b; |
---|
614 | G4double value = (std::pow(10.,sigma)); |
---|
615 | return value; |
---|
616 | } |
---|
617 | |
---|
618 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
619 | |
---|
620 | G4double G4AnalyticalEcpssrKCrossSection::QuadInterpolator(G4double e11, G4double e12, |
---|
621 | G4double e21, G4double e22, |
---|
622 | G4double xs11, G4double xs12, |
---|
623 | G4double xs21, G4double xs22, |
---|
624 | G4double t1, G4double t2, |
---|
625 | G4double t, G4double e) |
---|
626 | { |
---|
627 | // Log-Log |
---|
628 | G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12); |
---|
629 | G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22); |
---|
630 | G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
631 | |
---|
632 | /* |
---|
633 | // Lin-Log |
---|
634 | G4double interpolatedvalue1 = LinLogInterpolate(e11, e12, e, xs11, xs12); |
---|
635 | G4double interpolatedvalue2 = LinLogInterpolate(e21, e22, e, xs21, xs22); |
---|
636 | G4double value = LinLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
637 | */ |
---|
638 | return value; |
---|
639 | } |
---|
640 | |
---|
641 | |
---|
642 | |
---|
643 | |
---|
644 | |
---|