[1316] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | //$Id: G4AnalyticalEcpssrKCrossSection.cc,v 1.2 2010/06/09 07:15:50 mantero Exp $ |
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[1337] | 27 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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[1316] | 28 | // |
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| 29 | |
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| 30 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 31 | |
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| 32 | #include "globals.hh" |
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| 33 | #include "G4AnalyticalEcpssrKCrossSection.hh" |
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| 34 | #include "G4AtomicTransitionManager.hh" |
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| 35 | #include "G4NistManager.hh" |
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| 36 | #include "G4Proton.hh" |
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| 37 | #include "G4Alpha.hh" |
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| 38 | #include <math.h> |
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| 39 | #include <iostream> |
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| 40 | #include "G4SemiLogInterpolation.hh" |
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| 41 | |
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| 42 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 43 | |
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| 44 | G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() |
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| 45 | { |
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| 46 | // Storing FK data needed for medium velocities region |
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| 47 | |
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| 48 | char *path = getenv("G4LEDATA"); |
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| 49 | |
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| 50 | if (!path) |
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| 51 | G4Exception("G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() G4LEDATA environment variable not set"); |
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| 52 | |
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| 53 | std::ostringstream fileName; |
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| 54 | fileName << path << "/pixe/uf/FK.dat"; |
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| 55 | std::ifstream FK(fileName.str().c_str()); |
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| 56 | |
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| 57 | if (!FK) G4Exception("G4AnalyticalEcpssrKCrossSection::G4AnalyticalEcpssrKCrossSection() error opening FK data file"); |
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| 58 | |
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| 59 | dummyVec.push_back(0.); |
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| 60 | |
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| 61 | while(!FK.eof()) |
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| 62 | { |
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| 63 | double x; |
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| 64 | double y; |
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| 65 | |
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| 66 | FK>>x>>y; |
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| 67 | |
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| 68 | // Mandatory vector initialization |
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| 69 | if (x != dummyVec.back()) |
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| 70 | { |
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| 71 | dummyVec.push_back(x); |
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| 72 | aVecMap[x].push_back(-1.); |
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| 73 | } |
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| 74 | |
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| 75 | FK>>FKData[x][y]; |
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| 76 | |
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| 77 | if (y != aVecMap[x].back()) aVecMap[x].push_back(y); |
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| 78 | |
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| 79 | } |
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| 80 | |
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| 81 | // Storing C coefficients for high velocity formula |
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| 82 | |
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| 83 | G4String fileC1("pixe/uf/c1"); |
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| 84 | tableC1 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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| 85 | tableC1->LoadData(fileC1); |
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| 86 | |
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| 87 | G4String fileC2("pixe/uf/c2"); |
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| 88 | tableC2 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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| 89 | tableC2->LoadData(fileC2); |
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| 90 | |
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| 91 | G4String fileC3("pixe/uf/c3"); |
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| 92 | tableC3 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
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| 93 | tableC3->LoadData(fileC3); |
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| 94 | |
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| 95 | // |
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| 96 | |
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| 97 | verboseLevel=0; |
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| 98 | } |
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| 99 | |
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| 100 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 101 | |
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| 102 | void print (G4double elem) |
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| 103 | { |
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| 104 | G4cout << elem << " "; |
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| 105 | } |
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| 106 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 107 | |
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| 108 | G4AnalyticalEcpssrKCrossSection::~G4AnalyticalEcpssrKCrossSection() |
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| 109 | { |
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| 110 | |
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| 111 | delete tableC1; |
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| 112 | delete tableC2; |
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| 113 | delete tableC3; |
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| 114 | |
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| 115 | } |
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| 116 | |
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| 117 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 118 | |
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| 119 | G4double G4AnalyticalEcpssrKCrossSection::ExpIntFunction(G4int n,G4double x) |
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| 120 | |
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| 121 | { |
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| 122 | // this "ExpIntFunction" function allows fast evaluation of the n order exponential integral function En(x) |
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| 123 | |
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| 124 | G4int i; |
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| 125 | G4int ii; |
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| 126 | G4int nm1; |
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| 127 | G4double a; |
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| 128 | G4double b; |
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| 129 | G4double c; |
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| 130 | G4double d; |
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| 131 | G4double del; |
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| 132 | G4double fact; |
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| 133 | G4double h; |
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| 134 | G4double psi; |
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| 135 | G4double ans = 0; |
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| 136 | const G4double euler= 0.5772156649; |
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| 137 | const G4int maxit= 100; |
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| 138 | const G4double fpmin = 1.0e-30; |
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| 139 | const G4double eps = 1.0e-7; |
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| 140 | nm1=n-1; |
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| 141 | if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) { |
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| 142 | G4cout << "G4AnalyticalEcpssrKCrossSection::ExpIntFunction: VERY Bad arguments in ExpIntFunction" << G4endl; |
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| 143 | G4cout << n << ", " << x << G4endl; |
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| 144 | } |
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| 145 | else { |
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| 146 | if (n==0) ans=std::exp(-x)/x; |
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| 147 | else { |
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| 148 | if (x==0.0) ans=1.0/nm1; |
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| 149 | else { |
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| 150 | if (x > 1.0) { |
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| 151 | b=x+n; |
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| 152 | c=1.0/fpmin; |
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| 153 | d=1.0/b; |
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| 154 | h=d; |
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| 155 | for (i=1;i<=maxit;i++) { |
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| 156 | a=-i*(nm1+i); |
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| 157 | b +=2.0; |
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| 158 | d=1.0/(a*d+b); |
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| 159 | c=b+a/c; |
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| 160 | del=c*d; |
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| 161 | h *=del; |
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| 162 | if (std::fabs(del-1.0) < eps) { |
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| 163 | ans=h*std::exp(-x); |
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| 164 | return ans; |
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| 165 | } |
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| 166 | } |
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| 167 | } else { |
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| 168 | ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler); |
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| 169 | fact=1.0; |
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| 170 | for (i=1;i<=maxit;i++) { |
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| 171 | fact *=-x/i; |
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| 172 | if (i !=nm1) del = -fact/(i-nm1); |
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| 173 | else { |
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| 174 | psi = -euler; |
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| 175 | for (ii=1;ii<=nm1;ii++) psi +=1.0/ii; |
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| 176 | del=fact*(-std::log(x)+psi); |
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| 177 | } |
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| 178 | ans += del; |
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| 179 | if (std::fabs(del) < std::fabs(ans)*eps) return ans; |
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| 180 | } |
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| 181 | } |
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| 182 | } |
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| 183 | } |
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| 184 | } |
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| 185 | return ans; |
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| 186 | } |
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| 187 | |
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| 188 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 189 | |
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| 190 | |
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| 191 | G4double G4AnalyticalEcpssrKCrossSection::CalculateCrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
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| 192 | |
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| 193 | { |
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| 194 | |
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| 195 | // this K-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
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| 196 | |
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| 197 | G4NistManager* massManager = G4NistManager::Instance(); |
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| 198 | |
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| 199 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
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| 200 | |
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| 201 | G4double zIncident = 0; |
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| 202 | G4Proton* aProtone = G4Proton::Proton(); |
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| 203 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
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| 204 | |
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| 205 | if (massIncident == aProtone->GetPDGMass() ) |
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| 206 | { |
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| 207 | zIncident = (aProtone->GetPDGCharge())/eplus; |
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| 208 | } |
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| 209 | else |
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| 210 | { |
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| 211 | if (massIncident == aAlpha->GetPDGMass()) |
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| 212 | { |
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| 213 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
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| 214 | } |
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| 215 | else |
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| 216 | { |
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| 217 | G4cout << "*** WARNING in G4AnalyticalEcpssrKCrossSection::CalculateCrossSection : we can treat only Proton or Alpha incident particles " << G4endl; |
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| 218 | return 0; |
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| 219 | } |
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| 220 | } |
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| 221 | |
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| 222 | if (verboseLevel>0) G4cout << " massIncident=" << massIncident<< G4endl; |
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| 223 | |
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| 224 | G4double kBindingEnergy = transitionManager->Shell(zTarget,0)->BindingEnergy(); |
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| 225 | |
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| 226 | if (verboseLevel>0) G4cout << " kBindingEnergy=" << kBindingEnergy/eV<< G4endl; |
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| 227 | |
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| 228 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
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| 229 | |
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| 230 | if (verboseLevel>0) G4cout << " massTarget=" << massTarget<< G4endl; |
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| 231 | |
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| 232 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //the mass of the system (projectile, target) |
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| 233 | |
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| 234 | if (verboseLevel>0) G4cout << " systemMass=" << systemMass<< G4endl; |
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| 235 | |
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| 236 | const G4double zkshell= 0.3; |
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| 237 | |
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| 238 | G4double screenedzTarget = zTarget-zkshell; // screenedzTarget is the screened nuclear charge of the target |
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| 239 | |
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| 240 | const G4double rydbergMeV= 13.6056923e-6; |
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| 241 | |
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| 242 | G4double tetaK = kBindingEnergy/((screenedzTarget*screenedzTarget)*rydbergMeV); //tetaK denotes the reduced binding energy of the electron |
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| 243 | |
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| 244 | if (verboseLevel>0) G4cout << " tetaK=" << tetaK<< G4endl; |
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| 245 | |
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| 246 | G4double velocity =(2./(tetaK*screenedzTarget))*std::pow(((energyIncident*electron_mass_c2)/(massIncident*rydbergMeV)),0.5); |
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| 247 | |
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| 248 | if (verboseLevel>0) G4cout << " velocity=" << velocity<< G4endl; |
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| 249 | |
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| 250 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
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| 251 | |
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| 252 | if (verboseLevel>0) G4cout << " bohrPow2Barn=" << bohrPow2Barn<< G4endl; |
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| 253 | |
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| 254 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); //sigma0 is the initial cross section of K shell at stable state |
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| 255 | |
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| 256 | if (verboseLevel>0) G4cout << " sigma0=" << sigma0<< G4endl; |
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| 257 | |
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| 258 | const G4double kAnalyticalApproximation= 1.5; |
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| 259 | |
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| 260 | G4double x = kAnalyticalApproximation/velocity; |
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| 261 | |
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| 262 | if (verboseLevel>0) G4cout << " x=" << x<< G4endl; |
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| 263 | |
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| 264 | G4double electrIonizationEnergy; |
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| 265 | |
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| 266 | if ((0.< x) && (x <= 0.035)) |
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| 267 | { |
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| 268 | electrIonizationEnergy= 0.75*pi*(std::log(1./(x*x))-1.); |
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| 269 | } |
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| 270 | else |
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| 271 | { |
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| 272 | if ( (0.035 < x) && (x <=3.)) |
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| 273 | { |
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| 274 | electrIonizationEnergy =std::exp(-2.*x)/(0.031+(0.213*std::pow(x,0.5))+(0.005*x)-(0.069*std::pow(x,3./2.))+(0.324*x*x)); |
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| 275 | } |
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| 276 | |
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| 277 | else |
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| 278 | { |
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| 279 | if ( (3.< x) && (x<=11.)) |
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| 280 | { |
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| 281 | electrIonizationEnergy =2.*std::exp(-2.*x)/std::pow(x,1.6); |
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| 282 | } |
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| 283 | |
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| 284 | else electrIonizationEnergy =0.; |
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| 285 | } |
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| 286 | } |
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| 287 | |
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| 288 | if (verboseLevel>0) G4cout << " electrIonizationEnergy=" << electrIonizationEnergy<< G4endl; |
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| 289 | |
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| 290 | G4double hFunction =(electrIonizationEnergy*2.)/(tetaK*std::pow(velocity,3)); //hFunction represents the correction for polarization effet |
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| 291 | |
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| 292 | if (verboseLevel>0) G4cout << " hFunction=" << hFunction<< G4endl; |
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| 293 | |
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| 294 | G4double gFunction = (1.+(9.*velocity)+(31.*velocity*velocity)+(98.*std::pow(velocity,3.))+(12.*std::pow(velocity,4.))+(25.*std::pow(velocity,5.)) |
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| 295 | +(4.2*std::pow(velocity,6.))+(0.515*std::pow(velocity,7.)))/std::pow(1.+velocity,9.); //gFunction represents the correction for binding effet |
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| 296 | if (verboseLevel>0) G4cout << " gFunction=" << gFunction<< G4endl; |
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| 297 | |
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| 298 | //----------------------------------------------------------------------------------------------------------------------------- |
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| 299 | |
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| 300 | G4double sigmaPSS = 1.+(((2.*zIncident)/(screenedzTarget*tetaK))*(gFunction-hFunction)); //describes the perturbed stationnairy state of the affected atomic electon |
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| 301 | |
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| 302 | if (verboseLevel>0) G4cout << " sigmaPSS=" << sigmaPSS<< G4endl; |
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| 303 | |
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| 304 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK<< G4endl; |
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| 305 | |
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| 306 | //---------------------------------------------------------------------------------------------------------------------------- |
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| 307 | |
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| 308 | const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
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| 309 | |
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| 310 | if (verboseLevel>0) G4cout << " cNaturalUnit=" << cNaturalUnit<< G4endl; |
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| 311 | |
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| 312 | G4double ykFormula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocity/sigmaPSS); |
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| 313 | |
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| 314 | if (verboseLevel>0) G4cout << " ykFormula=" << ykFormula<< G4endl; |
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| 315 | |
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| 316 | G4double relativityCorrection = std::pow((1.+(1.1*ykFormula*ykFormula)),0.5)+ykFormula;// the relativistic correction parameter |
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| 317 | |
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| 318 | if (verboseLevel>0) G4cout << " relativityCorrection=" << relativityCorrection<< G4endl; |
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| 319 | |
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| 320 | G4double reducedVelocity = velocity*std::pow(relativityCorrection,0.5); // presents the reduced collision velocity parameter |
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| 321 | |
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| 322 | if (verboseLevel>0) G4cout << " reducedVelocity=" << reducedVelocity<< G4endl; |
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| 323 | |
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| 324 | G4double etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget) |
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| 325 | /(sigmaPSS*tetaK)/(sigmaPSS*tetaK); |
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| 326 | |
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| 327 | if (verboseLevel>0) G4cout << " etaOverTheta2=" << etaOverTheta2<< G4endl; |
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| 328 | |
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| 329 | G4double universalFunction = 0; |
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| 330 | |
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| 331 | // low velocity formula |
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| 332 | |
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| 333 | if ( velocity < 1. ) |
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| 334 | { |
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| 335 | if (verboseLevel>0) G4cout << " Notice : FK is computed from low velocity formula" << G4endl; |
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| 336 | |
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| 337 | universalFunction = (std::pow(2.,9.)/45.)*std::pow(reducedVelocity/sigmaPSS,8.)*std::pow((1.+(1.72*(reducedVelocity/sigmaPSS)*(reducedVelocity/sigmaPSS))),-4.);// is the reduced universal cross section |
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| 338 | |
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| 339 | |
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| 340 | if (verboseLevel>0) G4cout << " universalFunction by Brandt 1981 =" << universalFunction<< G4endl; |
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| 341 | |
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| 342 | } |
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| 343 | |
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| 344 | else |
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| 345 | |
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| 346 | { |
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| 347 | |
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| 348 | if ( etaOverTheta2 > 86.6 && (sigmaPSS*tetaK) > 0.4 && (sigmaPSS*tetaK) < 2.9996 ) |
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| 349 | { |
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| 350 | // High and medium energies. Method from Rice 1977 on tabvles from Benka 1978 |
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| 351 | |
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| 352 | if (verboseLevel>0) G4cout << " Notice : FK is computed from high velocity formula" << G4endl; |
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| 353 | |
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| 354 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK << G4endl; |
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| 355 | |
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| 356 | G4double C1= tableC1->FindValue(sigmaPSS*tetaK); |
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| 357 | G4double C2= tableC2->FindValue(sigmaPSS*tetaK); |
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| 358 | G4double C3= tableC3->FindValue(sigmaPSS*tetaK); |
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| 359 | |
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| 360 | if (verboseLevel>0) G4cout << " C1=" << C1 << G4endl; |
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| 361 | if (verboseLevel>0) G4cout << " C2=" << C2 << G4endl; |
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| 362 | if (verboseLevel>0) G4cout << " C3=" << C3 << G4endl; |
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| 363 | |
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| 364 | G4double etaK = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
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| 365 | |
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| 366 | if (verboseLevel>0) G4cout << " etaK=" << etaK << G4endl; |
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| 367 | |
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| 368 | G4double etaT = (sigmaPSS*tetaK)*(sigmaPSS*tetaK)*(86.6); // at any theta, the largest tabulated etaOverTheta2 is 86.6 |
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| 369 | |
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| 370 | if (verboseLevel>0) G4cout << " etaT=" << etaT << G4endl; |
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| 371 | |
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| 372 | G4double fKT = FunctionFK((sigmaPSS*tetaK),86.6)*(etaT/(sigmaPSS*tetaK)); |
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| 373 | |
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| 374 | if (FunctionFK((sigmaPSS*tetaK),86.6)<=0.) |
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| 375 | { |
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| 376 | G4cout << |
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| 377 | "*** WARNING in G4AnalyticalEcpssrKCrossSection::CalculateCrossSection : unable to interpolate FK function in high velocity region ! ***" << G4endl; |
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| 378 | return 0; |
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| 379 | } |
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| 380 | |
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| 381 | if (verboseLevel>0) G4cout << " FunctionFK=" << FunctionFK((sigmaPSS*tetaK),86.6) << G4endl; |
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| 382 | |
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| 383 | if (verboseLevel>0) G4cout << " fKT=" << fKT << G4endl; |
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| 384 | |
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| 385 | G4double GK = C2/(4*etaK) + C3/(32*etaK*etaK); |
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| 386 | |
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| 387 | if (verboseLevel>0) G4cout << " GK=" << GK << G4endl; |
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| 388 | |
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| 389 | G4double GT = C2/(4*etaT) + C3/(32*etaT*etaT); |
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| 390 | |
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| 391 | if (verboseLevel>0) G4cout << " GT=" << GT << G4endl; |
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| 392 | |
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| 393 | G4double DT = fKT - C1*std::log(etaT) + GT; |
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| 394 | |
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| 395 | if (verboseLevel>0) G4cout << " DT=" << DT << G4endl; |
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| 396 | |
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| 397 | G4double fKK = C1*std::log(etaK) + DT - GK; |
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| 398 | |
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| 399 | if (verboseLevel>0) G4cout << " fKK=" << fKK << G4endl; |
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| 400 | |
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| 401 | G4double universalFunction3= fKK/(etaK/tetaK); |
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| 402 | |
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| 403 | if (verboseLevel>0) G4cout << " universalFunction3=" << universalFunction3 << G4endl; |
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| 404 | |
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| 405 | universalFunction=universalFunction3; |
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| 406 | |
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| 407 | } |
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| 408 | |
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| 409 | else if ( etaOverTheta2 >= 1.e-3 && etaOverTheta2 <= 86.6 && (sigmaPSS*tetaK) >= 0.4 && (sigmaPSS*tetaK) <= 2.9996 ) |
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| 410 | |
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| 411 | { |
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| 412 | // From Benka 1978 |
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| 413 | |
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| 414 | if (verboseLevel>0) G4cout << " Notice : FK is computed from INTERPOLATED data" << G4endl; |
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| 415 | |
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| 416 | G4double universalFunction2 = FunctionFK((sigmaPSS*tetaK),etaOverTheta2); |
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| 417 | |
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| 418 | if (universalFunction2<=0) |
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| 419 | { |
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| 420 | G4cout << |
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| 421 | "*** WARNING : G4AnalyticalEcpssrKCrossSection::CalculateCrossSection is unable to interpolate FK function in medium velocity region ! ***" << G4endl; |
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| 422 | return 0; |
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| 423 | } |
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| 424 | |
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| 425 | if (verboseLevel>0) G4cout << " universalFunction2=" << universalFunction2 << " for theta=" << sigmaPSS*tetaK << " and etaOverTheta2=" << etaOverTheta2 << G4endl; |
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| 426 | |
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| 427 | universalFunction=universalFunction2; |
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| 428 | } |
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| 429 | |
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| 430 | } |
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| 431 | |
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| 432 | //---------------------------------------------------------------------------------------------------------------------- |
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| 433 | |
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| 434 | G4double sigmaPSSR = (sigma0/(sigmaPSS*tetaK))*universalFunction; //sigmaPSSR is the straight-line K-shell ionization cross section |
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| 435 | |
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| 436 | if (verboseLevel>0) G4cout << " sigmaPSSR=" << sigmaPSSR<< G4endl; |
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| 437 | |
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| 438 | //----------------------------------------------------------------------------------------------------------------------- |
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| 439 | |
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| 440 | G4double pssDeltaK = (4./(systemMass*sigmaPSS*tetaK))*(sigmaPSS/velocity)*(sigmaPSS/velocity); |
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| 441 | |
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| 442 | if (verboseLevel>0) G4cout << " pssDeltaK=" << pssDeltaK<< G4endl; |
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| 443 | |
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| 444 | G4double energyLoss = std::pow(1-pssDeltaK,0.5); //energyLoss incorporates the straight-line energy-loss |
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| 445 | |
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| 446 | if (verboseLevel>0) G4cout << " energyLoss=" << energyLoss<< G4endl; |
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| 447 | |
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| 448 | G4double energyLossFunction = (std::pow(2.,-9)/8.)*((((9.*energyLoss)-1.)*std::pow(1.+energyLoss,9.))+(((9.*energyLoss)+1.)*std::pow(1.-energyLoss,9.)));//energy loss function |
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| 449 | |
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| 450 | if (verboseLevel>0) G4cout << " energyLossFunction=" << energyLossFunction<< G4endl; |
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| 451 | |
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| 452 | //---------------------------------------------------------------------------------------------------------------------------------------------- |
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| 453 | |
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| 454 | G4double coulombDeflection = (4.*pi*zIncident/systemMass)*std::pow(tetaK*sigmaPSS,-2.)*std::pow(velocity/sigmaPSS,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
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| 455 | |
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| 456 | if (verboseLevel>0) G4cout << " cParameter-short=" << coulombDeflection<< G4endl; |
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| 457 | |
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| 458 | G4double cParameter = 2.*coulombDeflection/(energyLoss*(energyLoss+1.)); |
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| 459 | |
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| 460 | if (verboseLevel>0) G4cout << " cParameter-full=" << cParameter<< G4endl; |
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| 461 | |
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| 462 | G4double coulombDeflectionFunction = 9.*ExpIntFunction(10,cParameter); //this function describes Coulomb-deflection effect |
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| 463 | |
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| 464 | if (verboseLevel>0) G4cout << " ExpIntFunction(10,cParameter) =" << ExpIntFunction(10,cParameter) << G4endl; |
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| 465 | |
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| 466 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction =" << coulombDeflectionFunction << G4endl; |
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| 467 | |
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| 468 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
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| 469 | |
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| 470 | G4double crossSection = 0; |
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| 471 | |
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| 472 | crossSection = energyLossFunction* coulombDeflectionFunction*sigmaPSSR; //this ECPSSR cross section is estimated at perturbed-stationnairy-state(PSS) |
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| 473 | //and it's reduced by the energy-loss(E),the Coulomb deflection(C), |
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| 474 | //and the relativity(R) effects |
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| 475 | |
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| 476 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
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| 477 | |
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| 478 | if (crossSection >= 0) { |
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| 479 | return crossSection; |
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| 480 | } |
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| 481 | else {return 0;} |
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| 482 | |
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| 483 | } |
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| 484 | |
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| 485 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 486 | |
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| 487 | G4double G4AnalyticalEcpssrKCrossSection::FunctionFK(G4double k, G4double theta) |
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| 488 | { |
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| 489 | |
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| 490 | G4double sigma = 0.; |
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| 491 | G4double valueT1 = 0; |
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| 492 | G4double valueT2 = 0; |
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| 493 | G4double valueE21 = 0; |
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| 494 | G4double valueE22 = 0; |
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| 495 | G4double valueE12 = 0; |
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| 496 | G4double valueE11 = 0; |
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| 497 | G4double xs11 = 0; |
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| 498 | G4double xs12 = 0; |
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| 499 | G4double xs21 = 0; |
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| 500 | G4double xs22 = 0; |
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| 501 | |
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| 502 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values |
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| 503 | // (in particular for FK computation at 8.66EXX for high velocity formula) |
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| 504 | |
---|
| 505 | if ( |
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| 506 | theta==8.66e-3 || |
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| 507 | theta==8.66e-2 || |
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| 508 | theta==8.66e-1 || |
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| 509 | theta==8.66e+0 || |
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| 510 | theta==8.66e+1 |
---|
| 511 | ) theta=theta-1e-12; |
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| 512 | |
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| 513 | if ( |
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| 514 | theta==1.e-3 || |
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| 515 | theta==1.e-2 || |
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| 516 | theta==1.e-1 || |
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| 517 | theta==1.e+00 || |
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| 518 | theta==1.e+01 |
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| 519 | ) theta=theta+1e-12; |
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| 520 | |
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| 521 | // END PROTECTION |
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| 522 | |
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| 523 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k); |
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| 524 | std::vector<double>::iterator t1 = t2-1; |
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| 525 | |
---|
| 526 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta); |
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| 527 | std::vector<double>::iterator e11 = e12-1; |
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| 528 | |
---|
| 529 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta); |
---|
| 530 | std::vector<double>::iterator e21 = e22-1; |
---|
| 531 | |
---|
| 532 | valueT1 =*t1; |
---|
| 533 | valueT2 =*t2; |
---|
| 534 | valueE21 =*e21; |
---|
| 535 | valueE22 =*e22; |
---|
| 536 | valueE12 =*e12; |
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| 537 | valueE11 =*e11; |
---|
| 538 | |
---|
| 539 | xs11 = FKData[valueT1][valueE11]; |
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| 540 | xs12 = FKData[valueT1][valueE12]; |
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| 541 | xs21 = FKData[valueT2][valueE21]; |
---|
| 542 | xs22 = FKData[valueT2][valueE22]; |
---|
| 543 | |
---|
| 544 | /* |
---|
| 545 | if (verboseLevel>0) |
---|
| 546 | { |
---|
| 547 | G4cout << "x1= " << valueT1 << G4endl; |
---|
| 548 | G4cout << " vector of y for x1" << G4endl; |
---|
| 549 | for_each (aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), print); |
---|
| 550 | G4cout << G4endl; |
---|
| 551 | G4cout << "x2= " << valueT2 << G4endl; |
---|
| 552 | G4cout << " vector of y for x2" << G4endl; |
---|
| 553 | for_each (aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), print); |
---|
| 554 | |
---|
| 555 | G4cout << G4endl; |
---|
| 556 | G4cout |
---|
| 557 | << " " |
---|
| 558 | << valueT1 << " " |
---|
| 559 | << valueT2 << " " |
---|
| 560 | << valueE11 << " " |
---|
| 561 | << valueE12 << " " |
---|
| 562 | << valueE21<< " " |
---|
| 563 | << valueE22 << " " |
---|
| 564 | << xs11 << " " |
---|
| 565 | << xs12 << " " |
---|
| 566 | << xs21 << " " |
---|
| 567 | << xs22 << " " |
---|
| 568 | << G4endl; |
---|
| 569 | } |
---|
| 570 | */ |
---|
| 571 | |
---|
| 572 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
| 573 | |
---|
| 574 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
| 575 | |
---|
| 576 | if (xsProduct != 0.) |
---|
| 577 | { |
---|
| 578 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
| 579 | valueE21, valueE22, |
---|
| 580 | xs11, xs12, |
---|
| 581 | xs21, xs22, |
---|
| 582 | valueT1, valueT2, |
---|
| 583 | k, theta ); |
---|
| 584 | } |
---|
| 585 | |
---|
| 586 | return sigma; |
---|
| 587 | } |
---|
| 588 | |
---|
| 589 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 590 | |
---|
| 591 | G4double G4AnalyticalEcpssrKCrossSection::LinLogInterpolate(G4double e1, |
---|
| 592 | G4double e2, |
---|
| 593 | G4double e, |
---|
| 594 | G4double xs1, |
---|
| 595 | G4double xs2) |
---|
| 596 | { |
---|
| 597 | G4double d1 = std::log(xs1); |
---|
| 598 | G4double d2 = std::log(xs2); |
---|
| 599 | G4double value = std::exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1)); |
---|
| 600 | return value; |
---|
| 601 | } |
---|
| 602 | |
---|
| 603 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 604 | |
---|
| 605 | G4double G4AnalyticalEcpssrKCrossSection::LogLogInterpolate(G4double e1, |
---|
| 606 | G4double e2, |
---|
| 607 | G4double e, |
---|
| 608 | G4double xs1, |
---|
| 609 | G4double xs2) |
---|
| 610 | { |
---|
| 611 | G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1)); |
---|
| 612 | G4double b = std::log10(xs2) - a*std::log10(e2); |
---|
| 613 | G4double sigma = a*std::log10(e) + b; |
---|
| 614 | G4double value = (std::pow(10.,sigma)); |
---|
| 615 | return value; |
---|
| 616 | } |
---|
| 617 | |
---|
| 618 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 619 | |
---|
| 620 | G4double G4AnalyticalEcpssrKCrossSection::QuadInterpolator(G4double e11, G4double e12, |
---|
| 621 | G4double e21, G4double e22, |
---|
| 622 | G4double xs11, G4double xs12, |
---|
| 623 | G4double xs21, G4double xs22, |
---|
| 624 | G4double t1, G4double t2, |
---|
| 625 | G4double t, G4double e) |
---|
| 626 | { |
---|
| 627 | // Log-Log |
---|
| 628 | G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12); |
---|
| 629 | G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22); |
---|
| 630 | G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
| 631 | |
---|
| 632 | /* |
---|
| 633 | // Lin-Log |
---|
| 634 | G4double interpolatedvalue1 = LinLogInterpolate(e11, e12, e, xs11, xs12); |
---|
| 635 | G4double interpolatedvalue2 = LinLogInterpolate(e21, e22, e, xs21, xs22); |
---|
| 636 | G4double value = LinLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
| 637 | */ |
---|
| 638 | return value; |
---|
| 639 | } |
---|
| 640 | |
---|
| 641 | |
---|
| 642 | |
---|
| 643 | |
---|
| 644 | |
---|