| Geant4 Cross Reference |
1 // 1 //
2 // ******************************************* 2 // ********************************************************************
3 // * License and Disclaimer 3 // * License and Disclaimer *
4 // * 4 // * *
5 // * The Geant4 software is copyright of th 5 // * The Geant4 software is copyright of the Copyright Holders of *
6 // * the Geant4 Collaboration. It is provided 6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License 7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/ 8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. 9 // * include a list of copyright holders. *
10 // * 10 // * *
11 // * Neither the authors of this software syst 11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing fin 12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warran 13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assum 14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file 15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. *
17 // * 17 // * *
18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or *
21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. *
24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // INCL++ intra-nuclear cascade model 26 // INCL++ intra-nuclear cascade model
27 // Alain Boudard, CEA-Saclay, France << 27 // Pekka Kaitaniemi, CEA and Helsinki Institute of Physics
28 // Joseph Cugnon, University of Liege, Belgium << 28 // Davide Mancusi, CEA
29 // Jean-Christophe David, CEA-Saclay, France << 29 // Alain Boudard, CEA
30 // Pekka Kaitaniemi, CEA-Saclay, France, and H << 30 // Sylvie Leray, CEA
31 // Sylvie Leray, CEA-Saclay, France << 31 // Joseph Cugnon, University of Liege
32 // Davide Mancusi, CEA-Saclay, France << 32 //
>> 33 // INCL++ revision: v5.1.8
33 // 34 //
34 #define INCLXX_IN_GEANT4_MODE 1 35 #define INCLXX_IN_GEANT4_MODE 1
35 36
36 #include "globals.hh" 37 #include "globals.hh"
37 38
38 /** \file G4INCLDeuteronDensity.cc 39 /** \file G4INCLDeuteronDensity.cc
39 * \brief Deuteron density in r and p accordin 40 * \brief Deuteron density in r and p according to the Paris potential.
40 * 41 *
41 * \date 6 March 2012 42 * \date 6 March 2012
42 * \author Davide Mancusi 43 * \author Davide Mancusi
43 */ 44 */
44 45
45 #include "G4INCLDeuteronDensity.hh" 46 #include "G4INCLDeuteronDensity.hh"
46 #include "G4INCLGlobals.hh" 47 #include "G4INCLGlobals.hh"
47 // #include <cassert> 48 // #include <cassert>
48 #include <algorithm> 49 #include <algorithm>
49 50
50 namespace G4INCL { 51 namespace G4INCL {
51 52
52 namespace DeuteronDensity { << 53 /// \brief Coefficients for the deuteron wave function
53 << 54 const G4double DeuteronDensity::coeff1[coeffTableSize] = {
54 namespace { << 55 0.88688076e+0,
55 << 56 -0.34717093e+0,
56 const G4int coeffTableSize = 13; << 57 -0.30502380e+1,
57 << 58 0.56207766e+2,
58 /// \brief Coefficients for the deuteron << 59 -0.74957334e+3,
59 const G4double coeff1[coeffTableSize] = << 60 0.53365279e+4,
60 0.88688076e+0, << 61 -0.22706863e+5,
61 -0.34717093e+0, << 62 0.60434469e+5,
62 -0.30502380e+1, << 63 -0.10292058e+6,
63 0.56207766e+2, << 64 0.11223357e+6,
64 -0.74957334e+3, << 65 -0.75925226e+5,
65 0.53365279e+4, << 66 0.29059715e+5,
66 -0.22706863e+5, << 67 -0.48157368e+4
67 0.60434469e+5, << 68 };
68 -0.10292058e+6, << 69
69 0.11223357e+6, << 70 /// \brief Coefficients for the deuteron wave function
70 -0.75925226e+5, << 71 const G4double DeuteronDensity::coeff2[coeffTableSize] = {
71 0.29059715e+5, << 72 0.23135193e-1,
72 -0.48157368e+4 << 73 -0.85604572e+0,
73 }; << 74 0.56068193e+1,
74 << 75 -0.69462922e+2,
75 /// \brief Coefficients for the deuteron << 76 0.41631118e+3,
76 const G4double coeff2[coeffTableSize] = << 77 -0.12546621e+4,
77 0.23135193e-1, << 78 0.12387830e+4,
78 -0.85604572e+0, << 79 0.33739172e+4,
79 0.56068193e+1, << 80 -0.13041151e+5,
80 -0.69462922e+2, << 81 0.19512524e+5,
81 0.41631118e+3, << 82 -0.15634324e+5,
82 -0.12546621e+4, << 83 0.66231089e+4,
83 0.12387830e+4, << 84 -0.11698185e+4
84 0.33739172e+4, << 85 };
85 -0.13041151e+5, << 86
86 0.19512524e+5, << 87 /// \brief Normalisation coefficient for the r-space deuteron wave function
87 -0.15634324e+5, << 88 const G4double DeuteronDensity::normalisationR = std::sqrt(32. * Math::pi) * 0.28212;
88 0.66231089e+4, << 89
89 -0.11698185e+4 << 90 /// \brief Normalisation coefficient for the p-space deuteron wave function
90 }; << 91 const G4double DeuteronDensity::normalisationP = normalisationR / (std::sqrt(4. * Math::pi) * std::pow(PhysicalConstants::hc,1.5));
91 << 92
92 /// \brief Normalisation coefficient for << 93 /// \brief Mysterious coefficient that appears in the wavefunctions
93 const G4double normalisationR = std::sqr << 94 const G4double DeuteronDensity::al = 0.23162461;
94 << 95
95 /// \brief Normalisation coefficient for << 96 G4double DeuteronDensity::densityR(const G4double r) {
96 const G4double normalisationP = normalis << 97 const G4double sWave = wavefunctionR(0, r);
97 << 98 const G4double dWave = wavefunctionR(2, r);
98 /// \brief Mysterious coefficient that a << 99 return r*r*(sWave*sWave + dWave*dWave);
99 const G4double al = 0.23162461; << 100 }
100 <<
101 } <<
102 <<
103 G4double densityR(const G4double r) { <<
104 const G4double sWave = wavefunctionR(0, <<
105 const G4double dWave = wavefunctionR(2, <<
106 return r*r*(sWave*sWave + dWave*dWave); <<
107 } <<
108 101
109 G4double derivDensityR(const G4double r) { << 102 G4double DeuteronDensity::derivDensityR(const G4double r) {
110 const G4double sWave = wavefunctionR(0, << 103 const G4double sWave = wavefunctionR(0, r);
111 const G4double dWave = wavefunctionR(2, << 104 const G4double dWave = wavefunctionR(2, r);
112 const G4double sWaveDeriv = derivWavefun << 105 const G4double sWaveDeriv = derivWavefunctionR(0, r);
113 const G4double dWaveDeriv = derivWavefun << 106 const G4double dWaveDeriv = derivWavefunctionR(2, r);
114 return (sWave*sWaveDeriv + dWave*dWaveDe << 107 return (sWave*sWaveDeriv + dWave*dWaveDeriv) / Math::twoPi;
115 } << 108 }
116 109
117 G4double densityP(const G4double p) { << 110 G4double DeuteronDensity::densityP(const G4double p) {
118 const G4double sWave = wavefunctionP(0, << 111 const G4double sWave = wavefunctionP(0, p);
119 const G4double dWave = wavefunctionP(2, << 112 const G4double dWave = wavefunctionP(2, p);
120 return p*p*(sWave*sWave + dWave*dWave); << 113 return p*p*(sWave*sWave + dWave*dWave);
121 } << 114 }
122 115
123 G4double wavefunctionR(const G4int l, cons << 116 G4double DeuteronDensity::wavefunctionR(const G4int l, const G4double theR) {
124 // assert(l==0 || l==2); // only s- and d-wave 117 // assert(l==0 || l==2); // only s- and d-waves in a deuteron
125 const G4double r = 2. * std::max(theR, 1 << 118 const G4double r = 2. * std::max(theR, 1.e-4);
126 119
127 G4double result = 0.; << 120 G4double result = 0.;
128 G4double fmr; << 121 G4double fmr;
129 122
130 for(G4int i=0; i<coeffTableSize; ++i) { << 123 for(G4int i=0; i<coeffTableSize; ++i) {
131 fmr = r * (al+i); << 124 fmr = r * (al+i);
132 if(l==0) { // s-wave << 125 if(l==0) { // s-wave
133 result += coeff1[i] * std::exp(-fmr) << 126 result += coeff1[i] * std::exp(-fmr);
134 } else { // d-wave << 127 } else { // d-wave
135 result += coeff2[i] * std::exp(-fmr) << 128 result += coeff2[i] * std::exp(-fmr) * (1.+3./fmr+3./(fmr*fmr));
136 } <<
137 } 129 }
138 <<
139 result *= normalisationR/r; <<
140 return result; <<
141 } 130 }
142 131
143 G4double derivWavefunctionR(const G4int l, << 132 result *= normalisationR/r;
>> 133 return result;
>> 134 }
>> 135
>> 136 G4double DeuteronDensity::derivWavefunctionR(const G4int l, const G4double theR) {
144 // assert(l==0 || l==2); // only s- and d-wave 137 // assert(l==0 || l==2); // only s- and d-waves in a deuteron
145 const G4double r = 2. * std::max(theR, 1 << 138 const G4double r = 2. * std::max(theR, 1.e-4);
146 139
147 G4double result = 0.; << 140 G4double result = 0.;
148 G4double fmr; << 141 G4double fmr;
149 142
150 for(G4int i=0; i<coeffTableSize; ++i) { << 143 for(G4int i=0; i<coeffTableSize; ++i) {
151 fmr = r * (al+i); << 144 fmr = r * (al+i);
152 if(l==0) { // s-wave << 145 if(l==0) { // s-wave
153 result += coeff1[i] * std::exp(-fmr) << 146 result += coeff1[i] * std::exp(-fmr) * (fmr + 1.);
154 } else { // d-wave << 147 } else { // d-wave
155 result += coeff2[i] * std::exp(-fmr) << 148 result += coeff2[i] * std::exp(-fmr) * (fmr + 4. + 9./fmr + 9./(fmr*fmr));
156 } <<
157 } 149 }
158 <<
159 result *= -normalisationR/(r*r); <<
160 return result; <<
161 } 150 }
162 151
163 G4double wavefunctionP(const G4int l, cons << 152 result *= -normalisationR/(r*r);
>> 153 return result;
>> 154 }
>> 155
>> 156 G4double DeuteronDensity::wavefunctionP(const G4int l, const G4double theQ) {
164 // assert(l==0 || l==2); // only s- and d-wave 157 // assert(l==0 || l==2); // only s- and d-waves in a deuteron
165 const G4double q = theQ / PhysicalConsta << 158 const G4double q = theQ / PhysicalConstants::hc;
166 const G4double q2 = q*q; << 159 const G4double q2 = q*q;
167 G4double result=0.; << 160 G4double result=0.;
168 G4double fmq, alPlusI; << 161 G4double fmq, alPlusI;
169 for(G4int i=0; i<coeffTableSize; ++i) { << 162 for(G4int i=0; i<coeffTableSize; ++i) {
170 alPlusI = al+i; << 163 alPlusI = al+i;
171 fmq = q2 + alPlusI*alPlusI; << 164 fmq = q2 + alPlusI*alPlusI;
172 if(l==0) { // s-wave << 165 if(l==0) { // s-wave
173 result += coeff1[i] / fmq; << 166 result += coeff1[i] / fmq;
174 } else { // d-wave << 167 } else { // d-wave
175 result += coeff2[i] / fmq; << 168 result += coeff2[i] / fmq;
176 } <<
177 } 169 }
178 <<
179 result *= normalisationP; <<
180 return result; <<
181 } 170 }
182 171
>> 172 result *= normalisationP;
>> 173 return result;
183 } 174 }
184 175
185 } 176 }
>> 177
186 178