[1316] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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[1337] | 26 | //$Id: G4AnalyticalEcpssrLiCrossSection.cc,v 1.2 2010/06/25 09:41:15 gunter Exp $ |
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| 27 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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[1316] | 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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[1337] | 146 | if (n==0) ans=std::exp(-x)/x; |
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[1316] | 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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[1337] | 162 | if (std::fabs(del-1.0) < eps) { |
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| 163 | ans=h*std::exp(-x); |
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[1316] | 164 | return ans; |
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| 165 | } |
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| 166 | } |
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| 167 | } else { |
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[1337] | 168 | ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler); |
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[1316] | 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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[1337] | 176 | del=fact*(-std::log(x)+psi); |
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[1316] | 177 | } |
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| 178 | ans += del; |
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[1337] | 179 | if (std::fabs(del) < std::fabs(ans)*eps) return ans; |
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[1316] | 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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[1337] | 258 | if ( x1<=0.035) electrIonizationEnergyl1= 0.75*pi*(std::log(1./(x1*x1))-1.); |
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[1316] | 259 | else |
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| 260 | { |
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| 261 | if ( x1<=3.) |
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[1337] | 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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[1316] | 263 | else |
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[1337] | 264 | {if ( x1<=11.) electrIonizationEnergyl1 =2.*std::exp(-2.*x1)/std::pow(x1,1.6);} |
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[1316] | 265 | } |
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| 266 | |
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[1337] | 267 | G4double hFunctionl1 =(electrIonizationEnergyl1*2.*nl)/(tetal1*std::pow(velocityl1,3)); //takes into account the polarization effect |
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[1316] | 268 | |
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| 269 | if (verboseLevel>0) G4cout << " hFunctionl1=" << hFunctionl1<< G4endl; |
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| 270 | |
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[1337] | 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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[1316] | 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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[1337] | 333 | G4double energyLossl1 = std::pow(1-pssDeltal1,0.5); |
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[1316] | 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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[1337] | 338 | (8.*pi*zIncident/systemMass)*std::pow(tetal1*sigmaPSS_l1,-2.)*std::pow(velocityl1/sigmaPSS_l1,-3.)*(zTarget/screenedzTarget); |
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[1316] | 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; |
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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 | |
---|
| 407 | const G4double rydbergMeV= 13.6056923e-6; |
---|
| 408 | |
---|
| 409 | const G4double nl= 2.; |
---|
| 410 | |
---|
| 411 | G4double tetal2 = (l2BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //Screening parameter |
---|
| 412 | |
---|
| 413 | if (verboseLevel>0) G4cout << " tetal2=" << tetal2<< G4endl; |
---|
| 414 | |
---|
| 415 | G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
---|
| 416 | |
---|
| 417 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; //Bohr radius of hydrogen |
---|
| 418 | |
---|
| 419 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); |
---|
| 420 | |
---|
| 421 | G4double velocityl2 = CalculateVelocity(2, zTarget, massIncident, energyIncident); // Scaled velocity |
---|
| 422 | |
---|
| 423 | if (verboseLevel>0) G4cout << " velocityl2=" << velocityl2<< G4endl; |
---|
| 424 | |
---|
| 425 | const G4double l23AnalyticalApproximation= 1.25; |
---|
| 426 | |
---|
| 427 | G4double x2 = (nl*l23AnalyticalApproximation)/velocityl2; |
---|
| 428 | |
---|
| 429 | if (verboseLevel>0) G4cout << " x2=" << x2<< G4endl; |
---|
| 430 | |
---|
| 431 | G4double electrIonizationEnergyl2=0.; |
---|
| 432 | |
---|
[1337] | 433 | if ( x2<=0.035) electrIonizationEnergyl2= 0.75*pi*(std::log(1./(x2*x2))-1.); |
---|
[1316] | 434 | else |
---|
| 435 | { |
---|
| 436 | if ( x2<=3.) |
---|
[1337] | 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)); |
---|
[1316] | 438 | else |
---|
[1337] | 439 | {if ( x2<=11.) electrIonizationEnergyl2 =2.*std::exp(-2.*x2)/std::pow(x2,1.6); } |
---|
[1316] | 440 | } |
---|
| 441 | |
---|
[1337] | 442 | G4double hFunctionl2 =(electrIonizationEnergyl2*2.*nl)/(tetal2*std::pow(velocityl2,3)); //takes into account the polarization effect |
---|
[1316] | 443 | |
---|
| 444 | if (verboseLevel>0) G4cout << " hFunctionl2=" << hFunctionl2<< G4endl; |
---|
| 445 | |
---|
[1337] | 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.); |
---|
[1316] | 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 | |
---|
[1337] | 501 | G4double energyLossl2 = std::pow(1-pssDeltal2,0.5); |
---|
[1316] | 502 | |
---|
| 503 | if (verboseLevel>0) G4cout << " energyLossl2=" << energyLossl2<< G4endl; |
---|
| 504 | |
---|
| 505 | G4double coulombDeflectionl2 |
---|
[1337] | 506 | =(8.*pi*zIncident/systemMass)*std::pow(tetal2*sigmaPSS_l2,-2.)*std::pow(velocityl2/sigmaPSS_l2,-3.)*(zTarget/screenedzTarget); |
---|
[1316] | 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; |
---|
| 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 | |
---|
[1337] | 599 | if ( x3<=0.035) electrIonizationEnergyl3= 0.75*pi*(std::log(1./(x3*x3))-1.); |
---|
[1316] | 600 | else |
---|
| 601 | { |
---|
[1337] | 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)); |
---|
[1316] | 603 | else |
---|
| 604 | { |
---|
[1337] | 605 | if ( x3<=11.) electrIonizationEnergyl3 =2.*std::exp(-2.*x3)/std::pow(x3,1.6);} |
---|
[1316] | 606 | } |
---|
| 607 | |
---|
[1337] | 608 | G4double hFunctionl3 =(electrIonizationEnergyl3*2.*nl)/(tetal3*std::pow(velocityl3,3));//takes into account the polarization effect |
---|
[1316] | 609 | |
---|
| 610 | if (verboseLevel>0) G4cout << " hFunctionl3=" << hFunctionl3<< G4endl; |
---|
| 611 | |
---|
[1337] | 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.); |
---|
[1316] | 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 | |
---|
[1337] | 668 | G4double energyLossl3 = std::pow(1-pssDeltal3,0.5); |
---|
[1316] | 669 | |
---|
| 670 | if (verboseLevel>0) G4cout << " energyLossl3=" << energyLossl3<< G4endl; |
---|
| 671 | |
---|
| 672 | G4double coulombDeflectionl3 = |
---|
[1337] | 673 | (8.*pi*zIncident/systemMass)*std::pow(tetal3*sigmaPSS_l3,-2.)*std::pow(velocityl3/sigmaPSS_l3,-3.)*(zTarget/screenedzTarget); |
---|
[1316] | 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; |
---|
| 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 | |
---|