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24 | // ******************************************************************** |
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25 | // |
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26 | //$Id: G4AnalyticalEcpssrLiCrossSection.cc,v 1.4 2010/11/22 17:25:45 mantero Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-04-ref-00 $ |
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28 | |
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29 | #include "globals.hh" |
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30 | #include "G4AnalyticalEcpssrLiCrossSection.hh" |
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31 | #include "G4AtomicTransitionManager.hh" |
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32 | #include "G4NistManager.hh" |
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33 | #include "G4Proton.hh" |
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34 | #include "G4Alpha.hh" |
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35 | #include <math.h> |
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36 | #include <iostream> |
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37 | #include "G4LinLogInterpolation.hh" |
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38 | |
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39 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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40 | |
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41 | G4AnalyticalEcpssrLiCrossSection::G4AnalyticalEcpssrLiCrossSection() |
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42 | { |
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43 | |
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44 | // Storing FLi data needed for 0.2 to 3.0 velocities region |
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45 | |
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46 | char *path = getenv("G4LEDATA"); |
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47 | |
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48 | if (!path) |
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49 | G4Exception("G4ecpssrLCrossSection::G4AnalyticalEcpssrLiCrossSection() G4LEDDATA environment variable not set"); |
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50 | |
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51 | std::ostringstream fileName1; |
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52 | std::ostringstream fileName2; |
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53 | |
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54 | fileName1 << path << "/pixe/uf/FL1.dat"; |
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55 | fileName2 << path << "/pixe/uf/FL2.dat"; |
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56 | |
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57 | // Reading of FL1.dat |
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58 | |
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59 | std::ifstream FL1(fileName1.str().c_str()); |
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60 | if (!FL1) G4Exception("G4ecpssrLCrossSection::G4AnalyticalEcpssrLiCrossSection() error opening FL1 data file"); |
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61 | |
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62 | dummyVec1.push_back(0.); |
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63 | |
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64 | while(!FL1.eof()) |
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65 | { |
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66 | double x1; |
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67 | double y1; |
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68 | |
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69 | FL1>>x1>>y1; |
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70 | |
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71 | // Mandatory vector initialization |
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72 | if (x1 != dummyVec1.back()) |
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73 | { |
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74 | dummyVec1.push_back(x1); |
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75 | aVecMap1[x1].push_back(-1.); |
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76 | } |
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77 | |
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78 | FL1>>FL1Data[x1][y1]; |
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79 | |
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80 | if (y1 != aVecMap1[x1].back()) aVecMap1[x1].push_back(y1); |
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81 | } |
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82 | |
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83 | // Reading of FL2.dat |
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84 | |
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85 | std::ifstream FL2(fileName2.str().c_str()); |
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86 | if (!FL2) G4Exception("G4ecpssrLCrossSection::G4AnalyticalEcpssrLiCrossSection() error opening FL2 data file"); |
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87 | |
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88 | dummyVec2.push_back(0.); |
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89 | |
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90 | while(!FL2.eof()) |
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91 | { |
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92 | double x2; |
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93 | double y2; |
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94 | |
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95 | FL2>>x2>>y2; |
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96 | |
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97 | // Mandatory vector initialization |
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98 | if (x2 != dummyVec2.back()) |
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99 | { |
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100 | dummyVec2.push_back(x2); |
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101 | aVecMap2[x2].push_back(-1.); |
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102 | } |
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103 | |
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104 | FL2>>FL2Data[x2][y2]; |
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105 | |
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106 | if (y2 != aVecMap2[x2].back()) aVecMap2[x2].push_back(y2); |
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107 | } |
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108 | |
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109 | // Verbose level |
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110 | verboseLevel=0; |
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111 | |
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112 | } |
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113 | |
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114 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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115 | |
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116 | G4AnalyticalEcpssrLiCrossSection::~G4AnalyticalEcpssrLiCrossSection() |
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117 | {} |
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118 | |
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119 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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120 | |
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121 | G4double G4AnalyticalEcpssrLiCrossSection::ExpIntFunction(G4int n,G4double x) |
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122 | |
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123 | { |
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124 | // this function allows fast evaluation of the n order exponential integral function En(x) |
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125 | |
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126 | G4int i; |
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127 | G4int ii; |
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128 | G4int nm1; |
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129 | G4double a; |
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130 | G4double b; |
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131 | G4double c; |
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132 | G4double d; |
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133 | G4double del; |
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134 | G4double fact; |
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135 | G4double h; |
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136 | G4double psi; |
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137 | G4double ans = 0; |
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138 | const G4double euler= 0.5772156649; |
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139 | const G4int maxit= 100; |
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140 | const G4double fpmin = 1.0e-30; |
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141 | const G4double eps = 1.0e-7; |
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142 | nm1=n-1; |
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143 | if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) |
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144 | G4cout << "bad arguments in ExpIntFunction" << G4endl; |
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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 | G4double G4AnalyticalEcpssrLiCrossSection::CalculateL1CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
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191 | { |
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192 | |
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193 | //this L1-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), |
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194 | //and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). |
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195 | |
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196 | G4NistManager* massManager = G4NistManager::Instance(); |
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197 | |
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198 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
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199 | |
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200 | G4double zIncident = 0; |
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201 | G4Proton* aProtone = G4Proton::Proton(); |
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202 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
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203 | |
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204 | if (massIncident == aProtone->GetPDGMass() ) |
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205 | |
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206 | zIncident = (aProtone->GetPDGCharge())/eplus; |
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207 | |
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208 | else |
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209 | { |
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210 | if (massIncident == aAlpha->GetPDGMass()) |
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211 | |
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212 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
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213 | |
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214 | else |
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215 | { |
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216 | G4cout << "*** WARNING in G4AnalyticalEcpssrLiCrossSection::CalculateL1CrossSection : Proton or Alpha incident particles only. " << G4endl; |
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217 | G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << 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 | G4double l1BindingEnergy = transitionManager->Shell(zTarget,1)->BindingEnergy(); //Observed binding energy of L1-subshell |
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223 | |
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224 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
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225 | |
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226 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //Mass of the system (projectile, target) |
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227 | |
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228 | const G4double zlshell= 4.15; |
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229 | |
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230 | G4double screenedzTarget = zTarget-zlshell; //Effective nuclear charge as seen by electrons in L1-sub shell |
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231 | |
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232 | const G4double rydbergMeV= 13.6056923e-6; |
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233 | |
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234 | const G4double nl= 2.; |
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235 | |
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236 | G4double tetal1 = (l1BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //Screening parameter |
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237 | |
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238 | if (verboseLevel>0) G4cout << " tetal1=" << tetal1<< G4endl; |
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239 | |
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240 | G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
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241 | |
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242 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; //Bohr radius of hydrogen |
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243 | |
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244 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); |
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245 | |
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246 | G4double velocityl1 = CalculateVelocity(1, zTarget, massIncident, energyIncident); // Scaled velocity |
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247 | |
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248 | if (verboseLevel>0) G4cout << " velocityl1=" << velocityl1<< G4endl; |
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249 | |
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250 | const G4double l1AnalyticalApproximation= 1.5; |
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251 | |
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252 | G4double x1 =(nl*l1AnalyticalApproximation)/velocityl1; |
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253 | |
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254 | if (verboseLevel>0) G4cout << " x1=" << x1<< G4endl; |
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255 | |
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256 | G4double electrIonizationEnergyl1=0.; |
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257 | |
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258 | if ( x1<=0.035) electrIonizationEnergyl1= 0.75*pi*(std::log(1./(x1*x1))-1.); |
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259 | else |
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260 | { |
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261 | if ( x1<=3.) |
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262 | electrIonizationEnergyl1 =std::exp(-2.*x1)/(0.031+(0.213*std::pow(x1,0.5))+(0.005*x1)-(0.069*std::pow(x1,3./2.))+(0.324*x1*x1)); |
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263 | else |
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264 | {if ( x1<=11.) electrIonizationEnergyl1 =2.*std::exp(-2.*x1)/std::pow(x1,1.6);} |
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265 | } |
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266 | |
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267 | G4double hFunctionl1 =(electrIonizationEnergyl1*2.*nl)/(tetal1*std::pow(velocityl1,3)); //takes into account the polarization effect |
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268 | |
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269 | if (verboseLevel>0) G4cout << " hFunctionl1=" << hFunctionl1<< G4endl; |
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270 | |
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271 | G4double gFunctionl1 = (1.+(9.*velocityl1)+(31.*velocityl1*velocityl1)+(49.*std::pow(velocityl1,3.))+(162.*std::pow(velocityl1,4.))+(63.*std::pow(velocityl1,5.))+(18.*std::pow(velocityl1,6.))+(1.97*std::pow(velocityl1,7.)))/std::pow(1.+velocityl1,9.);//takes into account the reduced binding effect |
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272 | |
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273 | if (verboseLevel>0) G4cout << " gFunctionl1=" << gFunctionl1<< G4endl; |
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274 | |
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275 | G4double sigmaPSS_l1 = 1.+(((2.*zIncident)/(screenedzTarget*tetal1))*(gFunctionl1-hFunctionl1)); //Binding-polarization factor |
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276 | |
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277 | if (verboseLevel>0) G4cout << "sigmaPSS_l1 =" << sigmaPSS_l1<< G4endl; |
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278 | |
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279 | const G4double cNaturalUnit= 137.; |
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280 | |
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281 | G4double yl1Formula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(nl*velocityl1/sigmaPSS_l1); |
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282 | |
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283 | G4double l1relativityCorrection = std::pow((1.+(1.1*yl1Formula*yl1Formula)),0.5)+yl1Formula; // Relativistic correction parameter |
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284 | |
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285 | //G4double reducedVelocity_l1 = velocityl1*std::pow(l1relativityCorrection,0.5); //Reduced velocity parameter |
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286 | |
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287 | |
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288 | G4double L1etaOverTheta2; |
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289 | |
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290 | G4double universalFunction_l1 = 0.; |
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291 | |
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292 | G4double sigmaPSSR_l1; |
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293 | |
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294 | if ( velocityl1 <5. ) |
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295 | { |
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296 | |
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297 | L1etaOverTheta2 =(reducedEnergy* l1relativityCorrection)/((tetal1*sigmaPSS_l1)*(tetal1*sigmaPSS_l1)); |
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298 | |
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299 | if ( ((tetal1*sigmaPSS_l1) >=0.2) && ((tetal1*sigmaPSS_l1) <=2.6670) && (L1etaOverTheta2>=0.1e-3) && (L1etaOverTheta2<=0.866e2) ) |
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300 | |
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301 | universalFunction_l1 = FunctionFL1((tetal1*sigmaPSS_l1),L1etaOverTheta2); |
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302 | |
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303 | if (verboseLevel>0) G4cout << "at low velocity range, universalFunction_l1 =" << universalFunction_l1 << G4endl; |
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304 | |
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305 | sigmaPSSR_l1 = (sigma0/(tetal1*sigmaPSS_l1))*universalFunction_l1;// Plane-wave Born -Aproximation L1-subshell ionisation Cross Section |
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306 | |
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307 | if (verboseLevel>0) G4cout << " at low velocity range, sigma PWBA L1 CS = " << sigmaPSSR_l1<< G4endl; |
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308 | |
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309 | |
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310 | } |
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311 | |
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312 | else |
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313 | |
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314 | { |
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315 | |
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316 | L1etaOverTheta2 = reducedEnergy/(tetal1*tetal1); |
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317 | |
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318 | if ( (tetal1 >=0.2) && (tetal1 <=2.6670) && (L1etaOverTheta2>=0.1e-3) && (L1etaOverTheta2<=0.866e2) ) |
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319 | |
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320 | universalFunction_l1 = FunctionFL1(tetal1,L1etaOverTheta2); |
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321 | |
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322 | if (verboseLevel>0) G4cout << "at medium and high velocity range, universalFunction_l1 =" << universalFunction_l1 << G4endl; |
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323 | |
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324 | sigmaPSSR_l1 = (sigma0/tetal1)*universalFunction_l1;// Plane-wave Born -Aproximation L1-subshell ionisation Cross Section |
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325 | |
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326 | if (verboseLevel>0) G4cout << " sigma PWBA L1 CS at medium and high velocity range = " << sigmaPSSR_l1<< G4endl; |
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327 | } |
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328 | |
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329 | G4double pssDeltal1 = (4./(systemMass *sigmaPSS_l1*tetal1))*(sigmaPSS_l1/velocityl1)*(sigmaPSS_l1/velocityl1); |
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330 | |
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331 | if (verboseLevel>0) G4cout << " pssDeltal1=" << pssDeltal1<< G4endl; |
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332 | |
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333 | G4double energyLossl1 = std::pow(1-pssDeltal1,0.5); |
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334 | |
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335 | if (verboseLevel>0) G4cout << " energyLossl1=" << energyLossl1<< G4endl; |
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336 | |
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337 | G4double coulombDeflectionl1 = |
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338 | (8.*pi*zIncident/systemMass)*std::pow(tetal1*sigmaPSS_l1,-2.)*std::pow(velocityl1/sigmaPSS_l1,-3.)*(zTarget/screenedzTarget); |
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339 | |
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340 | G4double cParameterl1 =2.* coulombDeflectionl1/(energyLossl1*(energyLossl1+1.)); |
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341 | |
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342 | G4double coulombDeflectionFunction_l1 = 9.*ExpIntFunction(10,cParameterl1); //Coulomb-deflection effect correction |
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343 | |
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344 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l1 =" << coulombDeflectionFunction_l1 << G4endl; |
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345 | |
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346 | G4double crossSection_L1 = coulombDeflectionFunction_l1 * sigmaPSSR_l1; |
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347 | |
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348 | //ECPSSR L1 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) |
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349 | //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects |
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350 | |
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351 | if (verboseLevel>0) G4cout << " crossSection_L1 =" << crossSection_L1 << G4endl; |
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352 | |
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353 | if (crossSection_L1 >= 0) { |
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354 | |
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355 | return crossSection_L1 * barn; |
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356 | } |
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357 | |
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358 | else {return 0;} |
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359 | } |
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360 | |
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361 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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362 | |
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363 | G4double G4AnalyticalEcpssrLiCrossSection::CalculateL2CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
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364 | |
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365 | { |
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366 | |
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367 | // this L2-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), |
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368 | // and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). |
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369 | |
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370 | G4NistManager* massManager = G4NistManager::Instance(); |
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371 | |
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372 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
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373 | |
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374 | G4double zIncident = 0; |
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375 | |
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376 | G4Proton* aProtone = G4Proton::Proton(); |
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377 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
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378 | |
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379 | if (massIncident == aProtone->GetPDGMass() ) |
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380 | |
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381 | zIncident = (aProtone->GetPDGCharge())/eplus; |
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382 | |
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383 | else |
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384 | { |
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385 | if (massIncident == aAlpha->GetPDGMass()) |
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386 | |
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387 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
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388 | |
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389 | else |
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390 | { |
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391 | G4cout << "*** WARNING in G4AnalyticalEcpssrLiCrossSection::CalculateL2CrossSection : Proton or Alpha incident particles only. " << G4endl; |
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392 | G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; |
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393 | return 0; |
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394 | } |
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395 | } |
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396 | |
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397 | G4double l2BindingEnergy = transitionManager->Shell(zTarget,2)->BindingEnergy(); //Observed binding energy of L2-subshell |
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398 | |
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399 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
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400 | |
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401 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //Mass of the system (projectile, target) |
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402 | |
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403 | const G4double zlshell= 4.15; |
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404 | |
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405 | G4double screenedzTarget = zTarget-zlshell; //Effective nuclear charge as seen by electrons in L2-subshell |
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406 | |
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407 | const G4double rydbergMeV= 13.6056923e-6; |
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408 | |
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409 | const G4double nl= 2.; |
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410 | |
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411 | G4double tetal2 = (l2BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //Screening parameter |
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412 | |
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413 | if (verboseLevel>0) G4cout << " tetal2=" << tetal2<< G4endl; |
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414 | |
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415 | G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
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416 | |
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417 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; //Bohr radius of hydrogen |
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418 | |
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419 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); |
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420 | |
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421 | G4double velocityl2 = CalculateVelocity(2, zTarget, massIncident, energyIncident); // Scaled velocity |
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422 | |
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423 | if (verboseLevel>0) G4cout << " velocityl2=" << velocityl2<< G4endl; |
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424 | |
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425 | const G4double l23AnalyticalApproximation= 1.25; |
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426 | |
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427 | G4double x2 = (nl*l23AnalyticalApproximation)/velocityl2; |
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428 | |
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429 | if (verboseLevel>0) G4cout << " x2=" << x2<< G4endl; |
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430 | |
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431 | G4double electrIonizationEnergyl2=0.; |
---|
432 | |
---|
433 | if ( x2<=0.035) electrIonizationEnergyl2= 0.75*pi*(std::log(1./(x2*x2))-1.); |
---|
434 | else |
---|
435 | { |
---|
436 | if ( x2<=3.) |
---|
437 | electrIonizationEnergyl2 =std::exp(-2.*x2)/(0.031+(0.210*std::pow(x2,0.5))+(0.005*x2)-(0.069*std::pow(x2,3./2.))+(0.324*x2*x2)); |
---|
438 | else |
---|
439 | {if ( x2<=11.) electrIonizationEnergyl2 =2.*std::exp(-2.*x2)/std::pow(x2,1.6); } |
---|
440 | } |
---|
441 | |
---|
442 | G4double hFunctionl2 =(electrIonizationEnergyl2*2.*nl)/(tetal2*std::pow(velocityl2,3)); //takes into account the polarization effect |
---|
443 | |
---|
444 | if (verboseLevel>0) G4cout << " hFunctionl2=" << hFunctionl2<< G4endl; |
---|
445 | |
---|
446 | G4double gFunctionl2 = (1.+(10.*velocityl2)+(45.*velocityl2*velocityl2)+(102.*std::pow(velocityl2,3.))+(331.*std::pow(velocityl2,4.))+(6.7*std::pow(velocityl2,5.))+(58.*std::pow(velocityl2,6.))+(7.8*std::pow(velocityl2,7.))+ (0.888*std::pow(velocityl2,8.)) )/std::pow(1.+velocityl2,10.); |
---|
447 | //takes into account the reduced binding effect |
---|
448 | |
---|
449 | if (verboseLevel>0) G4cout << " gFunctionl2=" << gFunctionl2<< G4endl; |
---|
450 | |
---|
451 | G4double sigmaPSS_l2 = 1.+(((2.*zIncident)/(screenedzTarget*tetal2))*(gFunctionl2-hFunctionl2)); //Binding-polarization factor |
---|
452 | |
---|
453 | if (verboseLevel>0) G4cout << " sigmaPSS_l2=" << sigmaPSS_l2<< G4endl; |
---|
454 | |
---|
455 | const G4double cNaturalUnit= 137.; |
---|
456 | |
---|
457 | G4double yl2Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl2/sigmaPSS_l2); |
---|
458 | |
---|
459 | G4double l2relativityCorrection = std::pow((1.+(1.1*yl2Formula*yl2Formula)),0.5)+yl2Formula; // Relativistic correction parameter |
---|
460 | |
---|
461 | |
---|
462 | G4double L2etaOverTheta2; |
---|
463 | |
---|
464 | G4double universalFunction_l2 = 0.; |
---|
465 | |
---|
466 | G4double sigmaPSSR_l2 ; |
---|
467 | |
---|
468 | if ( velocityl2 < 5. ) |
---|
469 | { |
---|
470 | |
---|
471 | L2etaOverTheta2 = (reducedEnergy*l2relativityCorrection)/((sigmaPSS_l2*tetal2)*(sigmaPSS_l2*tetal2)); |
---|
472 | |
---|
473 | if ( (tetal2*sigmaPSS_l2>=0.2) && (tetal2*sigmaPSS_l2<=2.6670) && (L2etaOverTheta2>=0.1e-3) && (L2etaOverTheta2<=0.866e2) ) |
---|
474 | |
---|
475 | universalFunction_l2 = FunctionFL2((tetal2*sigmaPSS_l2),L2etaOverTheta2); |
---|
476 | |
---|
477 | sigmaPSSR_l2 = (sigma0/(tetal2*sigmaPSS_l2))*universalFunction_l2; |
---|
478 | |
---|
479 | if (verboseLevel>0) G4cout << " sigma PWBA L2 CS at low velocity range = " << sigmaPSSR_l2<< G4endl; |
---|
480 | |
---|
481 | } |
---|
482 | |
---|
483 | else |
---|
484 | |
---|
485 | { |
---|
486 | |
---|
487 | L2etaOverTheta2 = reducedEnergy /(tetal2*tetal2); |
---|
488 | |
---|
489 | if ( (tetal2>=0.2) && (tetal2<=2.6670) && (L2etaOverTheta2>=0.1e-3) && (L2etaOverTheta2<=0.866e2) ) |
---|
490 | |
---|
491 | universalFunction_l2 = FunctionFL2((tetal2),L2etaOverTheta2); |
---|
492 | |
---|
493 | sigmaPSSR_l2 = (sigma0/tetal2)*universalFunction_l2; |
---|
494 | |
---|
495 | if (verboseLevel>0) G4cout << " sigma PWBA L2 CS at medium and high velocity range = " << sigmaPSSR_l2<< G4endl; |
---|
496 | |
---|
497 | } |
---|
498 | |
---|
499 | G4double pssDeltal2 = (4./(systemMass*sigmaPSS_l2*tetal2))*(sigmaPSS_l2/velocityl2)*(sigmaPSS_l2/velocityl2); |
---|
500 | |
---|
501 | G4double energyLossl2 = std::pow(1-pssDeltal2,0.5); |
---|
502 | |
---|
503 | if (verboseLevel>0) G4cout << " energyLossl2=" << energyLossl2<< G4endl; |
---|
504 | |
---|
505 | G4double coulombDeflectionl2 |
---|
506 | =(8.*pi*zIncident/systemMass)*std::pow(tetal2*sigmaPSS_l2,-2.)*std::pow(velocityl2/sigmaPSS_l2,-3.)*(zTarget/screenedzTarget); |
---|
507 | |
---|
508 | G4double cParameterl2 = 2.*coulombDeflectionl2/(energyLossl2*(energyLossl2+1.)); |
---|
509 | |
---|
510 | G4double coulombDeflectionFunction_l2 = 11.*ExpIntFunction(12,cParameterl2); //Coulomb-deflection effect correction |
---|
511 | |
---|
512 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l2 =" << coulombDeflectionFunction_l2 << G4endl; |
---|
513 | |
---|
514 | G4double crossSection_L2 = coulombDeflectionFunction_l2 * sigmaPSSR_l2; |
---|
515 | //ECPSSR L2 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) |
---|
516 | //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects |
---|
517 | |
---|
518 | if (verboseLevel>0) G4cout << " crossSection_L2 =" << crossSection_L2 << G4endl; |
---|
519 | |
---|
520 | if (crossSection_L2 >= 0) { |
---|
521 | return crossSection_L2 * barn; |
---|
522 | } |
---|
523 | else {return 0;} |
---|
524 | } |
---|
525 | |
---|
526 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
527 | |
---|
528 | |
---|
529 | G4double G4AnalyticalEcpssrLiCrossSection::CalculateL3CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
---|
530 | |
---|
531 | { |
---|
532 | |
---|
533 | //this L3-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), |
---|
534 | //and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). |
---|
535 | |
---|
536 | G4NistManager* massManager = G4NistManager::Instance(); |
---|
537 | |
---|
538 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
539 | |
---|
540 | G4double zIncident = 0; |
---|
541 | |
---|
542 | G4Proton* aProtone = G4Proton::Proton(); |
---|
543 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
544 | |
---|
545 | if (massIncident == aProtone->GetPDGMass() ) |
---|
546 | |
---|
547 | zIncident = (aProtone->GetPDGCharge())/eplus; |
---|
548 | |
---|
549 | else |
---|
550 | { |
---|
551 | if (massIncident == aAlpha->GetPDGMass()) |
---|
552 | |
---|
553 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
---|
554 | |
---|
555 | else |
---|
556 | { |
---|
557 | G4cout << "*** WARNING in G4AnalyticalEcpssrLiCrossSection::CalculateL3CrossSection : Proton or Alpha incident particles only. " << G4endl; |
---|
558 | G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; |
---|
559 | return 0; |
---|
560 | } |
---|
561 | } |
---|
562 | |
---|
563 | G4double l3BindingEnergy = transitionManager->Shell(zTarget,3)->BindingEnergy(); |
---|
564 | |
---|
565 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
---|
566 | |
---|
567 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2;//Mass of the system (projectile, target) |
---|
568 | |
---|
569 | const G4double zlshell= 4.15; |
---|
570 | |
---|
571 | G4double screenedzTarget = zTarget-zlshell;//Effective nuclear charge as seen by electrons in L3-subshell |
---|
572 | |
---|
573 | const G4double rydbergMeV= 13.6056923e-6; |
---|
574 | |
---|
575 | const G4double nl= 2.; |
---|
576 | |
---|
577 | G4double tetal3 = (l3BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV);//Screening parameter |
---|
578 | |
---|
579 | if (verboseLevel>0) G4cout << " tetal3=" << tetal3<< G4endl; |
---|
580 | |
---|
581 | G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
---|
582 | |
---|
583 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ;//Bohr radius of hydrogen |
---|
584 | |
---|
585 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); |
---|
586 | |
---|
587 | G4double velocityl3 = CalculateVelocity(3, zTarget, massIncident, energyIncident);// Scaled velocity |
---|
588 | |
---|
589 | if (verboseLevel>0) G4cout << " velocityl3=" << velocityl3<< G4endl; |
---|
590 | |
---|
591 | const G4double l23AnalyticalApproximation= 1.25; |
---|
592 | |
---|
593 | G4double x3 = (nl*l23AnalyticalApproximation)/velocityl3; |
---|
594 | |
---|
595 | if (verboseLevel>0) G4cout << " x3=" << x3<< G4endl; |
---|
596 | |
---|
597 | G4double electrIonizationEnergyl3=0.; |
---|
598 | |
---|
599 | if ( x3<=0.035) electrIonizationEnergyl3= 0.75*pi*(std::log(1./(x3*x3))-1.); |
---|
600 | else |
---|
601 | { |
---|
602 | if ( x3<=3.) electrIonizationEnergyl3 =std::exp(-2.*x3)/(0.031+(0.210*std::pow(x3,0.5))+(0.005*x3)-(0.069*std::pow(x3,3./2.))+(0.324*x3*x3)); |
---|
603 | else |
---|
604 | { |
---|
605 | if ( x3<=11.) electrIonizationEnergyl3 =2.*std::exp(-2.*x3)/std::pow(x3,1.6);} |
---|
606 | } |
---|
607 | |
---|
608 | G4double hFunctionl3 =(electrIonizationEnergyl3*2.*nl)/(tetal3*std::pow(velocityl3,3));//takes into account the polarization effect |
---|
609 | |
---|
610 | if (verboseLevel>0) G4cout << " hFunctionl3=" << hFunctionl3<< G4endl; |
---|
611 | |
---|
612 | G4double gFunctionl3 = (1.+(10.*velocityl3)+(45.*velocityl3*velocityl3)+(102.*std::pow(velocityl3,3.))+(331.*std::pow(velocityl3,4.))+(6.7*std::pow(velocityl3,5.))+(58.*std::pow(velocityl3,6.))+(7.8*std::pow(velocityl3,7.))+ (0.888*std::pow(velocityl3,8.)) )/std::pow(1.+velocityl3,10.); |
---|
613 | //takes into account the reduced binding effect |
---|
614 | |
---|
615 | if (verboseLevel>0) G4cout << " gFunctionl3=" << gFunctionl3<< G4endl; |
---|
616 | |
---|
617 | G4double sigmaPSS_l3 = 1.+(((2.*zIncident)/(screenedzTarget*tetal3))*(gFunctionl3-hFunctionl3));//Binding-polarization factor |
---|
618 | |
---|
619 | if (verboseLevel>0) G4cout << "sigmaPSS_l3 =" << sigmaPSS_l3<< G4endl; |
---|
620 | |
---|
621 | const G4double cNaturalUnit= 137.; |
---|
622 | |
---|
623 | G4double yl3Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl3/sigmaPSS_l3); |
---|
624 | |
---|
625 | G4double l3relativityCorrection = std::pow((1.+(1.1*yl3Formula*yl3Formula)),0.5)+yl3Formula; // Relativistic correction parameter |
---|
626 | |
---|
627 | G4double L3etaOverTheta2; |
---|
628 | |
---|
629 | G4double universalFunction_l3 = 0.; |
---|
630 | |
---|
631 | G4double sigmaPSSR_l3; |
---|
632 | |
---|
633 | if ( velocityl3 < 5. ) |
---|
634 | { |
---|
635 | |
---|
636 | L3etaOverTheta2 = (reducedEnergy* l3relativityCorrection)/((sigmaPSS_l3*tetal3)*(sigmaPSS_l3*tetal3)); |
---|
637 | |
---|
638 | if ( (tetal3*sigmaPSS_l3>=0.2) && (tetal3*sigmaPSS_l3<=2.6670) && (L3etaOverTheta2>=0.1e-3) && (L3etaOverTheta2<=0.866e2) ) |
---|
639 | |
---|
640 | universalFunction_l3 = 2.*FunctionFL2((tetal3*sigmaPSS_l3), L3etaOverTheta2 ); |
---|
641 | |
---|
642 | sigmaPSSR_l3 = (sigma0/(tetal3*sigmaPSS_l3))*universalFunction_l3; |
---|
643 | |
---|
644 | if (verboseLevel>0) G4cout << " sigma PWBA L3 CS at low velocity range = " << sigmaPSSR_l3<< G4endl; |
---|
645 | |
---|
646 | } |
---|
647 | |
---|
648 | else |
---|
649 | |
---|
650 | { |
---|
651 | |
---|
652 | L3etaOverTheta2 = reducedEnergy/(tetal3*tetal3); |
---|
653 | |
---|
654 | if ( (tetal3>=0.2) && (tetal3<=2.6670) && (L3etaOverTheta2>=0.1e-3) && (L3etaOverTheta2<=0.866e2) ) |
---|
655 | |
---|
656 | universalFunction_l3 = 2.*FunctionFL2(tetal3, L3etaOverTheta2 ); |
---|
657 | |
---|
658 | sigmaPSSR_l3 = (sigma0/tetal3)*universalFunction_l3; |
---|
659 | |
---|
660 | if (verboseLevel>0) G4cout << " sigma PWBA L3 CS at medium and high velocity range = " << sigmaPSSR_l3<< G4endl; |
---|
661 | |
---|
662 | } |
---|
663 | |
---|
664 | G4double pssDeltal3 = (4./(systemMass*sigmaPSS_l3*tetal3))*(sigmaPSS_l3/velocityl3)*(sigmaPSS_l3/velocityl3); |
---|
665 | |
---|
666 | if (verboseLevel>0) G4cout << " pssDeltal3=" << pssDeltal3<< G4endl; |
---|
667 | |
---|
668 | G4double energyLossl3 = std::pow(1-pssDeltal3,0.5); |
---|
669 | |
---|
670 | if (verboseLevel>0) G4cout << " energyLossl3=" << energyLossl3<< G4endl; |
---|
671 | |
---|
672 | G4double coulombDeflectionl3 = |
---|
673 | (8.*pi*zIncident/systemMass)*std::pow(tetal3*sigmaPSS_l3,-2.)*std::pow(velocityl3/sigmaPSS_l3,-3.)*(zTarget/screenedzTarget); |
---|
674 | |
---|
675 | G4double cParameterl3 = 2.*coulombDeflectionl3/(energyLossl3*(energyLossl3+1.)); |
---|
676 | |
---|
677 | G4double coulombDeflectionFunction_l3 = 11.*ExpIntFunction(12,cParameterl3);//Coulomb-deflection effect correction |
---|
678 | |
---|
679 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l3 =" << coulombDeflectionFunction_l3 << G4endl; |
---|
680 | |
---|
681 | G4double crossSection_L3 = coulombDeflectionFunction_l3 * sigmaPSSR_l3; |
---|
682 | //ECPSSR L3 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) |
---|
683 | //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects |
---|
684 | |
---|
685 | if (verboseLevel>0) G4cout << " crossSection_L3 =" << crossSection_L3 << G4endl; |
---|
686 | |
---|
687 | if (crossSection_L3 >= 0) { |
---|
688 | return crossSection_L3 * barn; |
---|
689 | } |
---|
690 | else {return 0;} |
---|
691 | } |
---|
692 | |
---|
693 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
694 | |
---|
695 | G4double G4AnalyticalEcpssrLiCrossSection::CalculateVelocity(G4int subShell, G4int zTarget, G4double massIncident, G4double energyIncident) |
---|
696 | |
---|
697 | { |
---|
698 | |
---|
699 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
700 | |
---|
701 | G4double liBindingEnergy = transitionManager->Shell(zTarget,subShell)->BindingEnergy(); |
---|
702 | |
---|
703 | G4Proton* aProtone = G4Proton::Proton(); |
---|
704 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
705 | |
---|
706 | if (!((massIncident == aProtone->GetPDGMass()) || (massIncident == aAlpha->GetPDGMass()))) |
---|
707 | { |
---|
708 | G4cout << "*** WARNING in G4AnalyticalEcpssrLiCrossSection::CalculateVelocity : Proton or Alpha incident particles only. " << G4endl; |
---|
709 | G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; |
---|
710 | return 0; |
---|
711 | } |
---|
712 | |
---|
713 | const G4double zlshell= 4.15; |
---|
714 | |
---|
715 | G4double screenedzTarget = zTarget- zlshell; |
---|
716 | |
---|
717 | const G4double rydbergMeV= 13.6056923e-6; |
---|
718 | |
---|
719 | const G4double nl= 2.; |
---|
720 | |
---|
721 | G4double tetali = (liBindingEnergy*nl*nl)/(screenedzTarget*screenedzTarget*rydbergMeV); |
---|
722 | |
---|
723 | G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
---|
724 | |
---|
725 | G4double velocity = 2.*nl*std::pow(reducedEnergy,0.5)/tetali; |
---|
726 | |
---|
727 | return velocity; |
---|
728 | } |
---|
729 | |
---|
730 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
731 | |
---|
732 | G4double G4AnalyticalEcpssrLiCrossSection::FunctionFL1(G4double k, G4double theta) |
---|
733 | { |
---|
734 | |
---|
735 | G4double sigma = 0.; |
---|
736 | G4double valueT1 = 0; |
---|
737 | G4double valueT2 = 0; |
---|
738 | G4double valueE21 = 0; |
---|
739 | G4double valueE22 = 0; |
---|
740 | G4double valueE12 = 0; |
---|
741 | G4double valueE11 = 0; |
---|
742 | G4double xs11 = 0; |
---|
743 | G4double xs12 = 0; |
---|
744 | G4double xs21 = 0; |
---|
745 | G4double xs22 = 0; |
---|
746 | |
---|
747 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM Eta/Theta2 values |
---|
748 | |
---|
749 | if ( |
---|
750 | theta==8.66e-4 || |
---|
751 | theta==8.66e-3 || |
---|
752 | theta==8.66e-2 || |
---|
753 | theta==8.66e-1 || |
---|
754 | theta==8.66e+00 || |
---|
755 | theta==8.66e+01 |
---|
756 | ) theta=theta-1e-12; |
---|
757 | |
---|
758 | if ( |
---|
759 | theta==1.e-4 || |
---|
760 | theta==1.e-3 || |
---|
761 | theta==1.e-2 || |
---|
762 | theta==1.e-1 || |
---|
763 | theta==1.e+00 || |
---|
764 | theta==1.e+01 |
---|
765 | ) theta=theta+1e-12; |
---|
766 | |
---|
767 | // END PROTECTION |
---|
768 | |
---|
769 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec1.begin(),dummyVec1.end(), k); |
---|
770 | std::vector<double>::iterator t1 = t2-1; |
---|
771 | |
---|
772 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap1[(*t1)].begin(),aVecMap1[(*t1)].end(), theta); |
---|
773 | std::vector<double>::iterator e11 = e12-1; |
---|
774 | |
---|
775 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap1[(*t2)].begin(),aVecMap1[(*t2)].end(), theta); |
---|
776 | std::vector<double>::iterator e21 = e22-1; |
---|
777 | |
---|
778 | valueT1 =*t1; |
---|
779 | valueT2 =*t2; |
---|
780 | valueE21 =*e21; |
---|
781 | valueE22 =*e22; |
---|
782 | valueE12 =*e12; |
---|
783 | valueE11 =*e11; |
---|
784 | |
---|
785 | xs11 = FL1Data[valueT1][valueE11]; |
---|
786 | xs12 = FL1Data[valueT1][valueE12]; |
---|
787 | xs21 = FL1Data[valueT2][valueE21]; |
---|
788 | xs22 = FL1Data[valueT2][valueE22]; |
---|
789 | |
---|
790 | if (verboseLevel>0) |
---|
791 | G4cout |
---|
792 | << valueT1 << " " |
---|
793 | << valueT2 << " " |
---|
794 | << valueE11 << " " |
---|
795 | << valueE12 << " " |
---|
796 | << valueE21 << " " |
---|
797 | << valueE22 << " " |
---|
798 | << xs11 << " " |
---|
799 | << xs12 << " " |
---|
800 | << xs21 << " " |
---|
801 | << xs22 << " " |
---|
802 | << G4endl; |
---|
803 | |
---|
804 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
805 | |
---|
806 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
807 | |
---|
808 | if (xsProduct != 0.) |
---|
809 | { |
---|
810 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
811 | valueE21, valueE22, |
---|
812 | xs11, xs12, |
---|
813 | xs21, xs22, |
---|
814 | valueT1, valueT2, |
---|
815 | k, theta ); |
---|
816 | } |
---|
817 | |
---|
818 | return sigma; |
---|
819 | } |
---|
820 | |
---|
821 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
822 | |
---|
823 | G4double G4AnalyticalEcpssrLiCrossSection::FunctionFL2(G4double k, G4double theta) |
---|
824 | { |
---|
825 | |
---|
826 | G4double sigma = 0.; |
---|
827 | G4double valueT1 = 0; |
---|
828 | G4double valueT2 = 0; |
---|
829 | G4double valueE21 = 0; |
---|
830 | G4double valueE22 = 0; |
---|
831 | G4double valueE12 = 0; |
---|
832 | G4double valueE11 = 0; |
---|
833 | G4double xs11 = 0; |
---|
834 | G4double xs12 = 0; |
---|
835 | G4double xs21 = 0; |
---|
836 | G4double xs22 = 0; |
---|
837 | |
---|
838 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM Eta/Theta2 values |
---|
839 | |
---|
840 | if ( |
---|
841 | theta==8.66e-4 || |
---|
842 | theta==8.66e-3 || |
---|
843 | theta==8.66e-2 || |
---|
844 | theta==8.66e-1 || |
---|
845 | theta==8.66e+00 || |
---|
846 | theta==8.66e+01 |
---|
847 | ) theta=theta-1e-12; |
---|
848 | |
---|
849 | if ( |
---|
850 | theta==1.e-4 || |
---|
851 | theta==1.e-3 || |
---|
852 | theta==1.e-2 || |
---|
853 | theta==1.e-1 || |
---|
854 | theta==1.e+00 || |
---|
855 | theta==1.e+01 |
---|
856 | ) theta=theta+1e-12; |
---|
857 | |
---|
858 | // END PROTECTION |
---|
859 | |
---|
860 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec2.begin(),dummyVec2.end(), k); |
---|
861 | std::vector<double>::iterator t1 = t2-1; |
---|
862 | |
---|
863 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap2[(*t1)].begin(),aVecMap2[(*t1)].end(), theta); |
---|
864 | std::vector<double>::iterator e11 = e12-1; |
---|
865 | |
---|
866 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap2[(*t2)].begin(),aVecMap2[(*t2)].end(), theta); |
---|
867 | std::vector<double>::iterator e21 = e22-1; |
---|
868 | |
---|
869 | valueT1 =*t1; |
---|
870 | valueT2 =*t2; |
---|
871 | valueE21 =*e21; |
---|
872 | valueE22 =*e22; |
---|
873 | valueE12 =*e12; |
---|
874 | valueE11 =*e11; |
---|
875 | |
---|
876 | xs11 = FL2Data[valueT1][valueE11]; |
---|
877 | xs12 = FL2Data[valueT1][valueE12]; |
---|
878 | xs21 = FL2Data[valueT2][valueE21]; |
---|
879 | xs22 = FL2Data[valueT2][valueE22]; |
---|
880 | |
---|
881 | if (verboseLevel>0) |
---|
882 | G4cout |
---|
883 | << valueT1 << " " |
---|
884 | << valueT2 << " " |
---|
885 | << valueE11 << " " |
---|
886 | << valueE12 << " " |
---|
887 | << valueE21 << " " |
---|
888 | << valueE22 << " " |
---|
889 | << xs11 << " " |
---|
890 | << xs12 << " " |
---|
891 | << xs21 << " " |
---|
892 | << xs22 << " " |
---|
893 | << G4endl; |
---|
894 | |
---|
895 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
896 | |
---|
897 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
898 | |
---|
899 | if (xsProduct != 0.) |
---|
900 | { |
---|
901 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
902 | valueE21, valueE22, |
---|
903 | xs11, xs12, |
---|
904 | xs21, xs22, |
---|
905 | valueT1, valueT2, |
---|
906 | k, theta ); |
---|
907 | } |
---|
908 | |
---|
909 | return sigma; |
---|
910 | } |
---|
911 | |
---|
912 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
913 | |
---|
914 | G4double G4AnalyticalEcpssrLiCrossSection::LinLinInterpolate(G4double e1, |
---|
915 | G4double e2, |
---|
916 | G4double e, |
---|
917 | G4double xs1, |
---|
918 | G4double xs2) |
---|
919 | { |
---|
920 | G4double value = xs1 + (xs2 - xs1)*(e - e1)/ (e2 - e1); |
---|
921 | return value; |
---|
922 | } |
---|
923 | |
---|
924 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
925 | |
---|
926 | G4double G4AnalyticalEcpssrLiCrossSection::LinLogInterpolate(G4double e1, |
---|
927 | G4double e2, |
---|
928 | G4double e, |
---|
929 | G4double xs1, |
---|
930 | G4double xs2) |
---|
931 | { |
---|
932 | G4double d1 = std::log(xs1); |
---|
933 | G4double d2 = std::log(xs2); |
---|
934 | G4double value = std::exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1)); |
---|
935 | return value; |
---|
936 | } |
---|
937 | |
---|
938 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
939 | |
---|
940 | G4double G4AnalyticalEcpssrLiCrossSection::LogLogInterpolate(G4double e1, |
---|
941 | G4double e2, |
---|
942 | G4double e, |
---|
943 | G4double xs1, |
---|
944 | G4double xs2) |
---|
945 | { |
---|
946 | G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1)); |
---|
947 | G4double b = std::log10(xs2) - a*std::log10(e2); |
---|
948 | G4double sigma = a*std::log10(e) + b; |
---|
949 | G4double value = (std::pow(10.,sigma)); |
---|
950 | return value; |
---|
951 | } |
---|
952 | |
---|
953 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
954 | |
---|
955 | G4double G4AnalyticalEcpssrLiCrossSection::QuadInterpolator(G4double e11, G4double e12, |
---|
956 | G4double e21, G4double e22, |
---|
957 | G4double xs11, G4double xs12, |
---|
958 | G4double xs21, G4double xs22, |
---|
959 | G4double t1, G4double t2, |
---|
960 | G4double t, G4double e) |
---|
961 | { |
---|
962 | // Log-Log |
---|
963 | G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12); |
---|
964 | G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22); |
---|
965 | G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
966 | |
---|
967 | /* |
---|
968 | // Lin-Log |
---|
969 | G4double interpolatedvalue1 = LinLogInterpolate(e11, e12, e, xs11, xs12); |
---|
970 | G4double interpolatedvalue2 = LinLogInterpolate(e21, e22, e, xs21, xs22); |
---|
971 | G4double value = LinLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
972 | */ |
---|
973 | |
---|
974 | /* |
---|
975 | // Lin-Lin |
---|
976 | G4double interpolatedvalue1 = LinLinInterpolate(e11, e12, e, xs11, xs12); |
---|
977 | G4double interpolatedvalue2 = LinLinInterpolate(e21, e22, e, xs21, xs22); |
---|
978 | G4double value = LinLinInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
979 | */ |
---|
980 | return value; |
---|
981 | |
---|
982 | } |
---|
983 | |
---|