source: trunk/source/processes/hadronic/cross_sections/include/G4ProjectileFragmentCrossSection.hh @ 1315

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27#ifndef G4ProjectileFragmentCrossSection_h
28#define G4ProjectileFragmentCrossSection_h 1
29
30#include <cmath>
31#include <iostream>
32
33// Implements Physical Review C61, 034607 (2000)
34// Rewrite starting from EPAX Version 2
35 
36class G4ProjectileFragmentCrossSection
37{ 
38  public:
39  G4ProjectileFragmentCrossSection()
40  {
41        p_S[1] = -2.38;                  // scale factor for xsect in barn   
42        p_S[2] = 0.27;         
43
44        p_P[1] = -2.5840E+00;            // slope of mass yield curve         
45        p_P[2] = -7.5700E-03;
46
47        p_Delta[1] = -1.0870E+00;        // centroid rel. to beta-stability
48        p_Delta[2] = +3.0470E-02;
49        p_Delta[3] = +2.1353E-04; 
50        p_Delta[4] = +7.1350E+01; 
51
52        p_R[1] = +0.885E+00;             // width parameter R
53        p_R[2] = -9.8160E-03;
54
55        p_Un[1] = 1.65;                  // slope par. n-rich ride of Z distr.
56
57        p_Up[1] = 1.7880;                // slope par. p-rich ride of Z distr. 
58        p_Up[2] = +4.7210E-03;   
59        p_Up[3] = -1.3030E-05;   
60
61        p_mn[1]  = 0.400;                // memory effect n-rich projectiles
62        p_mn[2]  = 0.600;       
63
64        p_mp[1] = -10.25;                // memory effect p-rich projectiles
65        p_mp[2] = +10.1; 
66
67        corr_d[1] = -25.0;       // correction close to proj.: centroid dzp
68        corr_d[2] = 0.800;       
69        corr_r[1] = +20.0;       // correction close to proj.: width R
70        corr_r[2] = 0.820;
71        corr_y[1] = 200.0;       // correction close to proj.: Yield_a
72        corr_y[2] = 0.90;       
73  }
74 
75  inline G4double doit(G4double Ap, G4double Zp, G4double At, G4double Zt, G4double A, G4double Z)
76  {
77//  calculate mass yield
78        G4double Ap13 = std::pow(Ap, 1./3.);
79        G4double At13 = std::pow(At, 1./3.);
80        G4double S = p_S[2] * (At13 + Ap13 + p_S[1]);
81//  cout << "debug0 "<<S<<" "<<At13<<" "<<Ap13<<" "<<p_S[1]<<" "<<p_S[2]<<endl;
82        G4double p    = std::exp(p_P[2]*Ap + p_P[1]);
83        G4double yield_a = p * S * std::exp(-p * (Ap - A));
84  cout << "debug1 "<<yield_a<<endl;
85//   modification close to projectile
86        G4double f_mod_y=1.0;
87        if (A/Ap > corr_y[2])
88        {
89          f_mod_y=corr_y[1]*std::pow(A/Ap-corr_y[2], 2) + 1.0;
90        }
91        yield_a= yield_a * f_mod_y;
92  cout << "debug1 "<<yield_a<<endl;
93
94//   calculate maximum of charge dispersion zprob
95        G4double zbeta = A/(1.98+0.0155*std::pow(A, (2./3.)));
96        G4double zbeta_p = Ap/(1.98+0.0155*std::pow(Ap, (2./3.)));
97        G4double delta;
98        if(A > p_Delta[4]) 
99        {
100          delta = p_Delta[1] + p_Delta[2]*A;
101        }
102        else
103        {
104          delta = p_Delta[3]*A*A;
105        }
106
107//   modification close to projectile
108        G4double f_mod=1.0;
109        if(A/Ap > corr_d[2]) 
110        {
111          f_mod = corr_d[1]*std::pow(A/Ap-corr_d[2], 2) + 1.0;
112        }
113        delta = delta*f_mod;
114        G4double zprob = zbeta+delta;
115
116//   correction for proton- and neutron-rich projectiles
117        G4double  dq;
118        if((Zp-zbeta_p)>0) 
119        {
120          dq = std::exp(p_mp[1] + G4double(A)/G4double(Ap)*p_mp[2]);
121          cout << "dq "<<A<<" "<<Ap<<" "<<p_mp[1]
122          <<" "<<p_mp[2]<<" "<<dq<<" "<<p_mp[1] + A/Ap*p_mp[2]<<endl;
123        }
124        else                       
125        {
126          dq = p_mn[1]*std::pow(A/Ap, 2.0) + p_mn[2]*std::pow(A/Ap, 4.0);
127        }
128        zprob = zprob + dq * (Zp-zbeta_p);
129
130//   small corr. since Xe-129 and Pb-208 are not on Z_beta line
131        zprob = zprob + 0.0020*A;
132        cout <<"zprob "<<A<<" "<<dq<<" "<<Zp<<" "<<zbeta_p
133             <<" "<<zbeta<<" "<<delta<<endl;
134
135//  calculate width parameter R
136        G4double r = std::exp(p_R[1] + p_R[2]*A);
137
138//  modification close to projectile
139        f_mod=1.0;
140        if (A/Ap > corr_r[2]) 
141        {
142          f_mod = corr_r[1]*Ap*std::pow(A/Ap-corr_r[2], 4.0)+1.0;
143        }
144        r = r*f_mod;
145
146//   change width according to dev. from beta-stability
147        if ((Zp-zbeta_p) < 0.0) 
148        { 
149          r=r*(1.0-0.0833*std::abs(Zp-zbeta_p));
150        }
151
152//   calculate slope parameters u_n, u_p
153        G4double u_n = p_Un[1];
154        G4double u_p = p_Up[1] + p_Up[2]*A + p_Up[3]*A*A;
155
156//   calculate charge dispersion
157        G4double expo, fract;
158        if((zprob-Z) > 0) 
159        {
160//     neutron-rich
161          expo = -r*std::pow(std::abs(zprob-Z), u_n);
162          fract   =  std::exp(expo)*std::sqrt(r/3.14159);
163        }
164        else
165        {
166//     proton-rich
167          expo = -r*std::pow(std::abs(zprob-Z), u_p);
168          fract   =  std::exp(expo)*std::sqrt(r/3.14159);
169 cout << "1 "<<expo<<" "<<r<<" "<<zprob<<" "<<Z<<" "<<u_p<<endl;
170//     go to exponential slope
171          G4double dfdz = 1.2 + 0.647*std::pow(A/2.,0.3);
172          G4double z_exp = zprob + dfdz * std::log(10.) / (2.*r);
173          if( Z>z_exp ) 
174          {
175            expo = -r*std::pow(std::abs(zprob-z_exp), u_p);
176            fract   =  std::exp(expo)*std::sqrt(r/3.14159)
177                      / std::pow(std::pow(10, dfdz), Z-z_exp);
178          }
179        }
180
181        cout << "debug "<<fract<<" "<<yield_a<<endl;
182        G4double epaxv2=fract*yield_a;
183        return epaxv2;
184  }
185 
186  void testMe()
187  {
188    G4ProjectileFragmentCrossSection i;
189    cout << i.doit(58, 28, 9, 4, 49, 28) << endl;
190 // Sigma = 9.800163E-13 b
191  }
192 private:
193  G4double p_S[3];
194  G4double p_P[3];
195  G4double p_Delta[5];
196  G4double p_R[3];
197  G4double p_Un[2];
198  G4double p_Up[4];
199  G4double p_mn[3];
200  G4double p_mp[3];
201  G4double corr_d[3];
202  G4double corr_r[3];
203  G4double corr_y[3];
204};
205#endif
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