source: trunk/source/processes/hadronic/models/de_excitation/gem_evaporation/src/G4GEMProbability.cc @ 978

Last change on this file since 978 was 819, checked in by garnier, 16 years ago

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27//
28// Hadronic Process: Nuclear De-excitations
29// by V. Lara (Sept 2001)
30//
31
32
33#include "G4GEMProbability.hh"
34#include "G4PairingCorrection.hh"
35
36
37
38G4GEMProbability::G4GEMProbability(const G4GEMProbability &) : G4VEmissionProbability()
39{
40    throw G4HadronicException(__FILE__, __LINE__, "G4GEMProbability::copy_constructor meant to not be accessable");
41}
42
43
44
45
46const G4GEMProbability & G4GEMProbability::
47operator=(const G4GEMProbability &)
48{
49  throw G4HadronicException(__FILE__, __LINE__, "G4GEMProbability::operator= meant to not be accessable");
50  return *this;
51}
52
53
54G4bool G4GEMProbability::operator==(const G4GEMProbability &) const
55{
56  return false;
57}
58
59G4bool G4GEMProbability::operator!=(const G4GEMProbability &) const
60{
61  return true;
62}
63
64G4double G4GEMProbability::EmissionProbability(const G4Fragment & fragment,
65                                               const G4double MaximalKineticEnergy)
66{
67    G4double EmissionProbability = 0.0;
68   
69    if (MaximalKineticEnergy > 0.0 && fragment.GetExcitationEnergy() > 0.0) {
70        G4double CoulombBarrier = GetCoulombBarrier(fragment);
71       
72        EmissionProbability = CalcProbability(fragment,MaximalKineticEnergy,CoulombBarrier);
73        Normalization = EmissionProbability;
74        // Next there is a loop over excited states for this channel summing probabilities
75        if (ExcitationEnergies  &&  ExcitationSpins && ExcitationLifetimes) {
76            G4double SavedSpin = Spin;
77            for (unsigned int i = 0; i < ExcitationEnergies->size(); i++) {
78                Spin = ExcitationSpins->operator[](i);
79                // substract excitation energies
80                G4double Tmax = MaximalKineticEnergy - ExcitationEnergies->operator[](i);
81                if (Tmax > 0.0) {
82                    G4double width = CalcProbability(fragment,Tmax,CoulombBarrier);
83                    // update probability
84                    if (hbar_Planck*std::log(2.0)/width < ExcitationLifetimes->operator[](i)) {
85                        EmissionProbability += width;
86                    }
87                }
88            }
89            // Restore Spin
90            Spin = SavedSpin;
91        }
92    }
93    return EmissionProbability;
94}
95
96G4double G4GEMProbability::CalcProbability(const G4Fragment & fragment, 
97                                           const G4double MaximalKineticEnergy,
98                                           const G4double V)
99    // Calculate integrated probability (width) for evaporation channel
100{
101    G4double ResidualA = static_cast<G4double>(fragment.GetA() - theA);
102    //    G4double ResidualZ = static_cast<G4double>(fragment.GetZ() - theZ);
103    G4double U = fragment.GetExcitationEnergy();
104       
105    G4double NuclearMass = G4ParticleTable::GetParticleTable()->
106        GetIonTable()->GetNucleusMass(theZ,theA);
107
108    G4double a = theEvapLDPptr->LevelDensityParameter(static_cast<G4int>(fragment.GetA()),
109                                                      static_cast<G4int>(fragment.GetZ()),U);
110    G4double delta0 = G4PairingCorrection::GetInstance()->GetPairingCorrection(static_cast<G4int>(fragment.GetA()),
111                                                                               static_cast<G4int>(fragment.GetZ()));
112   
113    G4double Alpha = CalcAlphaParam(fragment);
114    G4double Beta = CalcBetaParam(fragment);
115   
116   
117    G4double Ux = (2.5 + 150.0/ResidualA)*MeV;
118    G4double Ex = Ux + delta0;
119    G4double T = 1.0/(std::sqrt(a/Ux) - 1.5/Ux);
120    G4double E0 = Ex - T*(std::log(T*MeV) - std::log(a/MeV)/4.0 - 1.25*std::log(Ux*MeV) + 2.0*std::sqrt(a*Ux));
121   
122    G4double Width;
123    G4double InitialLevelDensity;
124    if ( MaximalKineticEnergy < Ex ) {
125        G4double t = MaximalKineticEnergy/T;
126        Width = (I1(t,t) + (Beta+V)*I0(t))/std::exp(E0/T);
127        InitialLevelDensity = (pi/12.0)*std::exp((U-E0)/T)/T;
128    } else {
129        G4double t = MaximalKineticEnergy/T;
130        G4double tx = Ex/T;
131        G4double s = 2.0*std::sqrt(a*(MaximalKineticEnergy-delta0));
132        G4double sx = 2.0*std::sqrt(a*(Ex-delta0));
133        Width = I1(t,tx)/std::exp(E0/T) + I3(s,sx)*std::exp(s)/(std::sqrt(2.0)*a);
134        // For charged particles (Beta+V) = 0 beacuse Beta = -V
135        if (theZ == 0) {
136            Width += (Beta+V)*(I0(tx)/std::exp(E0/T) + 2.0*std::sqrt(2.0)*I2(s,sx)*std::exp(s));
137        }
138        InitialLevelDensity = (pi/12.0)*std::exp(2*std::sqrt(a*(U-delta0)))/std::pow(a*std::pow(U-delta0,5.0),1.0/4.0);
139    }
140   
141
142    G4double g = (2.0*Spin+1.0)*NuclearMass/(pi2* hbar_Planck*hbar_Planck);
143
144    G4double RN = 0.0;
145    if (theA > 4) 
146    {
147        G4double R1 = std::pow(ResidualA,1.0/3.0);
148        G4double R2 = std::pow(G4double(theA),1.0/3.0);
149        RN = 1.12*(R1 + R2) - 0.86*((R1+R2)/(R1*R2));
150        RN *= fermi;
151    }
152    else 
153    {
154        RN = 1.5*fermi;
155    }
156    G4double GeometricalXS = pi*RN*RN*std::pow(ResidualA,2./3.); 
157
158
159    Width *= std::sqrt(pi)*g*GeometricalXS*Alpha/(12.0*InitialLevelDensity); 
160    return Width;
161}
162
163
164
165
166G4double G4GEMProbability::I0(const G4double t)
167{
168    G4double result = (std::exp(t) - 1.0);
169    return result;
170}
171
172G4double G4GEMProbability::I1(const G4double t, const G4double tx)
173{
174    G4double result = t - tx + 1.0;
175    result *= std::exp(tx);
176    result -= (t + 1.0);
177    return result;
178}
179
180
181G4double G4GEMProbability::I2(const G4double s, const G4double sx)
182{
183    G4double S = 1.0/std::sqrt(s);
184    G4double Sx = 1.0/std::sqrt(sx);
185   
186    G4double p1 = S*S*S*( 1.0 + S*S*( 1.5 + 3.75*S*S) );
187    G4double p2 = Sx*Sx*Sx*( 1.0 + Sx*Sx*( 1.5 + 3.75*Sx*Sx) )*std::exp(sx-s);
188   
189    return p1-p2;
190}
191
192G4double G4GEMProbability::I3(const G4double s, const G4double sx)
193{
194    G4double s2 = s*s;
195    G4double sx2 = sx*sx;
196    G4double S = 1.0/std::sqrt(s);
197    G4double S2 = S*S;
198    G4double Sx = 1.0/std::sqrt(sx);
199    G4double Sx2 = Sx*Sx;
200   
201    G4double p1 = S *(2.0 + S2 *( 4.0 + S2 *( 13.5 + S2 *( 60.0 + S2 * 325.125 ))));
202    G4double p2 = Sx*Sx2 *(
203        (s2-sx2) + Sx2 *(
204            (1.5*s2+0.5*sx2) + Sx2 *(
205                (3.75*s2+0.25*sx2) + Sx2 *(
206                    (12.875*s2+0.625*sx2) + Sx2 *(
207                        (59.0625*s2+0.9375*sx2) + Sx2 *(324.8*s2+3.28*sx2))))));
208
209  p2 *= std::exp(sx-s);
210
211  return p1-p2; 
212}
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