1 | // |
---|
2 | // ******************************************************************** |
---|
3 | // * License and Disclaimer * |
---|
4 | // * * |
---|
5 | // * The Geant4 software is copyright of the Copyright Holders of * |
---|
6 | // * the Geant4 Collaboration. It is provided under the terms and * |
---|
7 | // * conditions of the Geant4 Software License, included in the file * |
---|
8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
---|
9 | // * include a list of copyright holders. * |
---|
10 | // * * |
---|
11 | // * Neither the authors of this software system, nor their employing * |
---|
12 | // * institutes,nor the agencies providing financial support for this * |
---|
13 | // * work make any representation or warranty, express or implied, * |
---|
14 | // * regarding this software system or assume any liability for its * |
---|
15 | // * use. Please see the license in the file LICENSE and URL above * |
---|
16 | // * for the full disclaimer and the limitation of liability. * |
---|
17 | // * * |
---|
18 | // * This code implementation is the result of the scientific and * |
---|
19 | // * technical work of the GEANT4 collaboration. * |
---|
20 | // * By using, copying, modifying or distributing the software (or * |
---|
21 | // * any work based on the software) you agree to acknowledge its * |
---|
22 | // * use in resulting scientific publications, and indicate your * |
---|
23 | // * acceptance of all terms of the Geant4 Software license. * |
---|
24 | // ******************************************************************** |
---|
25 | // |
---|
26 | // |
---|
27 | // $Id: G4NucleiProperties.cc,v 1.21 2009/05/02 11:58:17 kurasige Exp $ |
---|
28 | // GEANT4 tag $Name: geant4-09-03-cand-01 $ |
---|
29 | // |
---|
30 | // |
---|
31 | // ------------------------------------------------------------ |
---|
32 | // GEANT 4 class header file |
---|
33 | // |
---|
34 | // ------------------------------------------------------------ |
---|
35 | // |
---|
36 | // Hadronic Process: Nuclear De-excitations |
---|
37 | // by V. Lara (Oct 1998) |
---|
38 | // Migrate into particles category by H.Kurashige (17 Nov. 98) |
---|
39 | // Added Shell-Pairing corrections to the Cameron mass |
---|
40 | // excess formula by V.Lara (9 May 99) |
---|
41 | // 090331 Migrate to AME03 by Koi, Tatsumi |
---|
42 | |
---|
43 | #include "G4NucleiProperties.hh" |
---|
44 | |
---|
45 | |
---|
46 | G4double G4NucleiProperties::mass_proton = -1.; |
---|
47 | G4double G4NucleiProperties::mass_neutron = -1.; |
---|
48 | G4double G4NucleiProperties::mass_deuteron = -1.; |
---|
49 | G4double G4NucleiProperties::mass_triton = -1.; |
---|
50 | G4double G4NucleiProperties::mass_alpha = -1.; |
---|
51 | G4double G4NucleiProperties::mass_He3 = -1.; |
---|
52 | |
---|
53 | G4double G4NucleiProperties::GetNuclearMass(const G4double A, const G4double Z) |
---|
54 | { |
---|
55 | G4double mass=0.0; |
---|
56 | |
---|
57 | if (std::fabs(A - G4int(A)) > 1.e-10) { |
---|
58 | mass = NuclearMass(A,Z); |
---|
59 | |
---|
60 | } else { |
---|
61 | // use mass table |
---|
62 | G4int iZ = G4int(Z); |
---|
63 | G4int iA = G4int(A); |
---|
64 | mass =GetNuclearMass(iA,iZ); |
---|
65 | } |
---|
66 | |
---|
67 | return mass; |
---|
68 | } |
---|
69 | |
---|
70 | G4double G4NucleiProperties::GetNuclearMass(const G4int A, const G4int Z) |
---|
71 | { |
---|
72 | if (mass_proton <= 0.0 ) { |
---|
73 | G4ParticleDefinition * nucleus = 0; |
---|
74 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("proton"); // proton |
---|
75 | if (nucleus!=0) mass_proton = nucleus->GetPDGMass(); |
---|
76 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("neutron"); // neutron |
---|
77 | if (nucleus!=0) mass_neutron = nucleus->GetPDGMass(); |
---|
78 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("deuteron"); // deuteron |
---|
79 | if (nucleus!=0) mass_deuteron = nucleus->GetPDGMass(); |
---|
80 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("triton"); // triton |
---|
81 | if (nucleus!=0) mass_triton = nucleus->GetPDGMass(); |
---|
82 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("alpha"); // alpha |
---|
83 | if (nucleus!=0) mass_alpha = nucleus->GetPDGMass(); |
---|
84 | nucleus = G4ParticleTable::GetParticleTable()->FindParticle("He3"); // He3 |
---|
85 | if (nucleus!=0) mass_He3 = nucleus->GetPDGMass(); |
---|
86 | |
---|
87 | } |
---|
88 | |
---|
89 | if (A < 1 || Z < 0 || Z > A) { |
---|
90 | #ifdef G4VERBOSE |
---|
91 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
92 | G4cout << "G4NucleiProperties::GetNuclearMass: Wrong values for A = " << A |
---|
93 | << " and Z = " << Z << G4endl; |
---|
94 | } |
---|
95 | #endif |
---|
96 | return 0.0; |
---|
97 | } |
---|
98 | |
---|
99 | G4double mass= -1.; |
---|
100 | if ( (Z<=2) ) { |
---|
101 | // light nuclei |
---|
102 | if ( (Z==1)&&(A==1) ) { |
---|
103 | mass = mass_proton; |
---|
104 | } else if ( (Z==0)&&(A==1) ) { |
---|
105 | mass = mass_neutron; |
---|
106 | } else if ( (Z==1)&&(A==2) ) { |
---|
107 | mass = mass_deuteron; |
---|
108 | } else if ( (Z==1)&&(A==3) ) { |
---|
109 | mass = mass_triton; |
---|
110 | } else if ( (Z==2)&&(A==4) ) { |
---|
111 | mass = mass_alpha; |
---|
112 | } else if ( (Z==2)&&(A==3) ) { |
---|
113 | mass = mass_He3; |
---|
114 | } |
---|
115 | } |
---|
116 | |
---|
117 | if (mass < 0.) { |
---|
118 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)) { |
---|
119 | // AME 03 table |
---|
120 | mass = G4NucleiPropertiesTableAME03::GetNuclearMass(Z,A); |
---|
121 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)){ |
---|
122 | // Theoretical table |
---|
123 | mass = G4NucleiPropertiesTheoreticalTable::GetNuclearMass(Z,A); |
---|
124 | } else { |
---|
125 | mass = NuclearMass(G4double(A),G4double(Z)); |
---|
126 | } |
---|
127 | } |
---|
128 | |
---|
129 | if (mass < 0.) mass = 0.0; |
---|
130 | return mass; |
---|
131 | } |
---|
132 | |
---|
133 | G4bool G4NucleiProperties::IsInStableTable(const G4double A, const G4double Z) |
---|
134 | { |
---|
135 | G4int iA = G4int(A); |
---|
136 | G4int iZ = G4int(Z); |
---|
137 | return IsInStableTable(iA, iZ); |
---|
138 | } |
---|
139 | |
---|
140 | G4bool G4NucleiProperties::IsInStableTable(const G4int A, const int Z) |
---|
141 | { |
---|
142 | if (A < 1 || Z < 0 || Z > A) { |
---|
143 | #ifdef G4VERBOSE |
---|
144 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
145 | G4cout << "G4NucleiProperties::IsInStableTable: Wrong values for A = " |
---|
146 | << A << " and Z = " << Z << G4endl; |
---|
147 | } |
---|
148 | #endif |
---|
149 | return false; |
---|
150 | } |
---|
151 | |
---|
152 | return G4NucleiPropertiesTableAME03::IsInTable(Z,A); |
---|
153 | |
---|
154 | } |
---|
155 | |
---|
156 | G4double G4NucleiProperties::GetMassExcess(const G4double A, const G4double Z) |
---|
157 | { |
---|
158 | G4int iA = G4int(A); |
---|
159 | G4int iZ = G4int(Z); |
---|
160 | return GetMassExcess(iA,iZ); |
---|
161 | } |
---|
162 | |
---|
163 | G4double G4NucleiProperties::GetMassExcess(const G4int A, const G4int Z) |
---|
164 | { |
---|
165 | if (A < 1 || Z < 0 || Z > A) { |
---|
166 | #ifdef G4VERBOSE |
---|
167 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
168 | G4cout << "G4NucleiProperties::GetMassExccess: Wrong values for A = " |
---|
169 | << A << " and Z = " << Z << G4endl; |
---|
170 | } |
---|
171 | #endif |
---|
172 | return 0.0; |
---|
173 | |
---|
174 | } else { |
---|
175 | |
---|
176 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)){ |
---|
177 | return G4NucleiPropertiesTableAME03::GetMassExcess(Z,A); |
---|
178 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)){ |
---|
179 | return G4NucleiPropertiesTheoreticalTable::GetMassExcess(Z,A); |
---|
180 | } else { |
---|
181 | return MassExcess(A,Z); |
---|
182 | } |
---|
183 | } |
---|
184 | |
---|
185 | } |
---|
186 | |
---|
187 | |
---|
188 | G4double G4NucleiProperties::GetAtomicMass(const G4double A, const G4double Z) |
---|
189 | { |
---|
190 | if (A < 1 || Z < 0 || Z > A) { |
---|
191 | #ifdef G4VERBOSE |
---|
192 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
193 | G4cout << "G4NucleiProperties::GetAtomicMass: Wrong values for A = " |
---|
194 | << A << " and Z = " << Z << G4endl; |
---|
195 | } |
---|
196 | #endif |
---|
197 | return 0.0; |
---|
198 | |
---|
199 | } else if (std::fabs(A - G4int(A)) > 1.e-10) { |
---|
200 | return AtomicMass(A,Z); |
---|
201 | |
---|
202 | } else { |
---|
203 | G4int iA = G4int(A); |
---|
204 | G4int iZ = G4int(Z); |
---|
205 | if (G4NucleiPropertiesTableAME03::IsInTable(iZ,iA)) { |
---|
206 | return G4NucleiPropertiesTableAME03::GetAtomicMass(iZ,iA); |
---|
207 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(iZ,iA)){ |
---|
208 | return G4NucleiPropertiesTheoreticalTable::GetAtomicMass(iZ,iA); |
---|
209 | } else { |
---|
210 | return AtomicMass(A,Z); |
---|
211 | } |
---|
212 | } |
---|
213 | } |
---|
214 | |
---|
215 | G4double G4NucleiProperties::GetBindingEnergy(const G4double A, const G4double Z) |
---|
216 | { |
---|
217 | G4int iA = G4int(A); |
---|
218 | G4int iZ = G4int(Z); |
---|
219 | return GetBindingEnergy(iA,iZ); |
---|
220 | } |
---|
221 | |
---|
222 | G4double G4NucleiProperties::GetBindingEnergy(const G4int A, const G4int Z) |
---|
223 | { |
---|
224 | if (A < 1 || Z < 0 || Z > A) { |
---|
225 | #ifdef G4VERBOSE |
---|
226 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
227 | G4cout << "G4NucleiProperties::GetMassExccess: Wrong values for A = " |
---|
228 | << A << " and Z = " << Z << G4endl; |
---|
229 | } |
---|
230 | #endif |
---|
231 | return 0.0; |
---|
232 | |
---|
233 | } else { |
---|
234 | if (G4NucleiPropertiesTableAME03::IsInTable(Z,A)) { |
---|
235 | return G4NucleiPropertiesTableAME03::GetBindingEnergy(Z,A); |
---|
236 | } else if (G4NucleiPropertiesTheoreticalTable::IsInTable(Z,A)) { |
---|
237 | return G4NucleiPropertiesTheoreticalTable::GetBindingEnergy(Z,A); |
---|
238 | }else { |
---|
239 | return BindingEnergy(A,Z); |
---|
240 | } |
---|
241 | |
---|
242 | } |
---|
243 | } |
---|
244 | |
---|
245 | |
---|
246 | G4double G4NucleiProperties::MassExcess(G4double A, G4double Z) |
---|
247 | { |
---|
248 | return GetAtomicMass(A,Z) - A*amu_c2; |
---|
249 | } |
---|
250 | |
---|
251 | G4double G4NucleiProperties::AtomicMass(G4double A, G4double Z) |
---|
252 | { |
---|
253 | const G4double hydrogen_mass_excess = G4NucleiPropertiesTableAME03::GetMassExcess(1,1); |
---|
254 | const G4double neutron_mass_excess = G4NucleiPropertiesTableAME03::GetMassExcess(0,1); |
---|
255 | |
---|
256 | G4double mass = |
---|
257 | (A-Z)*neutron_mass_excess + Z*hydrogen_mass_excess - BindingEnergy(A,Z) + A*amu_c2; |
---|
258 | |
---|
259 | return mass; |
---|
260 | } |
---|
261 | |
---|
262 | G4double G4NucleiProperties::NuclearMass(G4double A, G4double Z) |
---|
263 | { |
---|
264 | if (A < 1 || Z < 0 || Z > A) { |
---|
265 | #ifdef G4VERBOSE |
---|
266 | if (G4ParticleTable::GetParticleTable()->GetVerboseLevel()>0) { |
---|
267 | G4cout << "G4NucleiProperties::NuclearMass: Wrong values for A = " |
---|
268 | << A << " and Z = " << Z << G4endl; |
---|
269 | } |
---|
270 | #endif |
---|
271 | return 0.0; |
---|
272 | } |
---|
273 | |
---|
274 | G4double mass = AtomicMass(A,Z); |
---|
275 | // atomic mass is converted to nuclear mass according formula in AME03 |
---|
276 | mass -= Z*electron_mass_c2; |
---|
277 | mass += ( 14.4381*std::pow ( Z , 2.39 ) + 1.55468*1e-6*std::pow ( Z , 5.35 ) )*eV; |
---|
278 | |
---|
279 | return mass; |
---|
280 | } |
---|
281 | |
---|
282 | G4double G4NucleiProperties::BindingEnergy(G4double A, G4double Z) |
---|
283 | { |
---|
284 | // |
---|
285 | // Weitzsaecker's Mass formula |
---|
286 | // |
---|
287 | G4int Npairing = G4int(A-Z)%2; // pairing |
---|
288 | G4int Zpairing = G4int(Z)%2; |
---|
289 | G4double binding = |
---|
290 | - 15.67*A // nuclear volume |
---|
291 | + 17.23*std::pow(A,2./3.) // surface energy |
---|
292 | + 93.15*((A/2.-Z)*(A/2.-Z))/A // asymmetry |
---|
293 | + 0.6984523*Z*Z*std::pow(A,-1./3.); // coulomb |
---|
294 | if( Npairing == Zpairing ) binding += (Npairing+Zpairing-1) * 12.0 / std::sqrt(A); // pairing |
---|
295 | |
---|
296 | return -binding*MeV; |
---|
297 | } |
---|
298 | |
---|