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28 //
29 // GEANT4 Class header file
30 //
31 //
32 // File name: G4eeCrossSections
33 //
34 // Author: Vladimir Ivanchenko
35 //
36 // Creation date: 25.10.2003
37 //
38 // Modifications:
39 // 10.07.2008 Updated for PDG Jour. Physics, G33, 1 (2006)
40 //
41 // -------------------------------------------------------------------
42 //
43
44
45 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
46 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
47
48 #include "G4eeCrossSections.hh"
49 #include "G4PhysicalConstants.hh"
50 #include "G4SystemOfUnits.hh"
51 #include "G4PionPlus.hh"
52 #include "G4PionMinus.hh"
53 #include "G4PionZero.hh"
54 #include "G4Eta.hh"
55 #include "G4KaonPlus.hh"
56 #include "G4KaonMinus.hh"
57 #include "G4KaonZeroLong.hh"
58 #include "G4PhysicsLinearVector.hh"
59
60 #include <iostream>
61 #include <fstream>
62
63 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
64
65 using namespace std;
66
67 G4eeCrossSections::G4eeCrossSections()
68 {
69 Initialise();
70 }
71
72 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
73
74 G4eeCrossSections::~G4eeCrossSections()
75 {}
76
77 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
78
79 void G4eeCrossSections::Initialise()
80 {
81 MsPi = G4PionPlus::PionPlus()->GetPDGMass();
82 MsPi0= G4PionZero::PionZero()->GetPDGMass();
83 MsEta= G4Eta::Eta()->GetPDGMass();
84 MsEtap=957.78*MeV;
85 MsKs = G4KaonZeroLong::KaonZeroLong()->GetPDGMass();
86 MsKc = G4KaonPlus::KaonPlus()->GetPDGMass();
87 MsRho= 775.5*MeV;
88 MsOm = 782.62*MeV;
89 MsF0 = 980.0*MeV;
90 MsA0 = 984.7*MeV;
91 MsPhi= 1019.46*MeV;
92 MsK892 = 891.66*MeV;
93 MsK0892 = 896.0*MeV;
94 GRho = 149.4*MeV;
95 GOm = 8.49*MeV;
96 GPhi = 4.26*MeV;
97 GK892 = 50.8*MeV;
98 GK0892 = 50.3*MeV;
99 PhRho = 0.0;
100 PhOm = 0.0;
101 PhPhi = 155.0*degree;
102 PhRhoPi = 186.0*degree;
103
104 BrRhoPiG = 4.5e-4;
105 BrRhoPi0G= 6.8e-4;
106 BrRhoEtaG= 2.95e-4;
107 BrRhoEe = 4.7e-5;
108 BrOm3Pi = 0.891;
109 BrOmPi0G= 0.089;
110 BrOmEtaG= 4.9e-4;
111 BrOm2Pi = 0.017;
112 PhOm2Pi = 90.0;
113 BrOmEe = 7.18e-5;
114 BrPhi2Kc = 0.492;
115 BrPhiKsKl= 0.34;
116 BrPhi3Pi = 0.153;
117 BrPhiPi0G= 1.25e-3;
118 BrPhiEtaG= 1.301e-2;
119 BrPhi2Pi = 7.3e-5;
120 PhPhi2Pi = -20.0*degree;
121 BrPhiEe = 2.97e-4;
122
123 MsRho3 = MsRho*MsRho*MsRho;
124 MsOm3 = MsOm*MsOm*MsOm;
125 MsPhi3 = MsPhi*MsPhi*MsPhi;
126
127 MeVnb = 3.8938e+11*nanobarn;
128 Alpha = fine_structure_const;
129
130 AOmRho = 3.0;
131 ARhoPRho = 0.72;
132 cterm=0.;
133 mssig = 600.*MeV;
134 gsig = 500.*MeV;
135 brsigpipi = 1.;
136
137 msrho1450 = 1459.*MeV;
138 msrho1700 = 1688.8*MeV;
139 grho1450 = 171.*MeV;
140 grho1700 = 161.*MeV;
141 arhoompi0 = 1.;
142 arho1450ompi0 = 1.;
143 arho1700ompi0 = 1.;
144 phrhoompi0 = 0.;
145 phrho1450ompi0 = pi;
146 phrho1700ompi0 = 0.;
147 aomrhopi0 = 1.;
148 phomrhopi0 = 0.;
149 arhopi0pi0g = 0.;
150 aompi0pi0g = 0.;
151 phrhopi0pi0g = 0.;
152 phompi0pi0g = 0.;
153 brrho1450ompi0 = 0.02;
154 brrho1450pipi = 0.50;
155 brrho1700ompi0 = 1.0;
156 brrho1700pipi = 0.02;
157 aphirhopi0 = 1.;
158 phphirhopi0 = pi;
159 arhosigg = 0.;
160 phrhosigg = 0.;
161 aomsigg = 0.;
162 phomsigg = 0.;
163
164 G4String w0, w1, w2;
165 ph3p = 0;
166
167 /*
168 G4double emin, emax;
169 G4int nbins;
170 const G4String fname = "wrhopi.wid";
171 ifstream fi(fname.c_str());
172 fi >> w0 >> nbins >> w1 >> emin >> w2 >> emax;
173 emin *= MeV;
174 emax *= MeV;
175 ph3p = new G4PhysicsLinearVector(emin,emax,nbins);
176 G4int nlines = nbins/5;
177 G4double s0, s1, s2, s3, s4;
178 for(G4int i=0; i<nlines; i++) {
179 fi >> s0 >> s1 >> s2 >> s3 >> s4;
180 ph3p->PutValue(5*i, s0);
181 ph3p->PutValue(5*i + 1, s1);
182 ph3p->PutValue(5*i + 2, s2);
183 ph3p->PutValue(5*i + 3, s3);
184 ph3p->PutValue(5*i + 4, s4);
185 }
186 fi.close();
187 */
188 }
189
190 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
191
192 G4double G4eeCrossSections::CrossSection2pi(G4double e)
193 {
194 complex<G4double> xr(cos(PhRho),sin(PhRho));
195 complex<G4double> xo(cos(PhOm2Pi),sin(PhOm2Pi));
196 complex<G4double> xf(cos(PhPhi2Pi),sin(PhPhi2Pi));
197
198 G4double s_inv = e*e;
199 complex<G4double> drho = DpRho(e);
200 complex<G4double> dom = DpOm(e);
201 complex<G4double> dphi = DpPhi(e);
202
203 complex<G4double> amp =
204 sqrt(Width2p(s_inv,MsRho,GRho,1.0,MsPi)*MsRho3*BrRhoEe*GRho)*xr/drho
205 + sqrt(Width2p(s_inv,MsOm,GOm,BrOm2Pi,MsPi)*MsOm3*BrOmEe*GOm)*xo/dom
206 + sqrt(Width2p(s_inv,MsPhi,GPhi,BrPhi2Pi,MsPi)*MsPhi3*BrPhiEe*GPhi)*xf/dphi;
207
208 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
209
210 return cross;
211 }
212
213 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
214
215 G4double G4eeCrossSections::CrossSection3pi(G4double e)
216 {
217 complex<G4double> xf(cos(PhPhi2Pi),sin(PhPhi));
218
219 G4double s_inv = e*e;
220 complex<G4double> dom = DpOm(e);
221 complex<G4double> dphi = DpPhi(e);
222
223 complex<G4double> amp =
224 sqrt(Width3p(s_inv,MsOm,GOm,BrOm3Pi)*MsOm3*BrOmEe*GOm)/dom
225 + sqrt(Width3p(s_inv,MsPhi,GPhi,BrPhi3Pi)*MsPhi3*BrPhiEe*GPhi)*xf/dphi;
226
227 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
228
229 return cross;
230 }
231
232 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
233
234 G4double G4eeCrossSections::CrossSectionPi0G(G4double e)
235 {
236 complex<G4double> xf(cos(PhPhi),sin(PhPhi));
237
238 G4double s_inv = e*e;
239 complex<G4double> drho = DpRho(e);
240 complex<G4double> dom = DpOm(e);
241 complex<G4double> dphi = DpPhi(e);
242
243 complex<G4double> amp =
244 sqrt(WidthPg(s_inv,MsRho,GRho,BrRhoPi0G,MsPi0)*MsRho3*BrRhoEe*GRho)/drho
245 + sqrt(WidthPg(s_inv,MsOm,GOm,BrOmPi0G,MsPi0)*MsOm3*BrOmEe*GOm)/dom
246 + sqrt(WidthPg(s_inv,MsPhi,GPhi,BrPhiPi0G,MsPi0)*MsPhi3*BrPhiEe*GPhi)*xf/dphi;
247
248 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
249
250 return cross;
251 }
252
253 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
254
255 G4double G4eeCrossSections::CrossSectionEtaG(G4double e)
256 {
257 complex<G4double> xf(cos(PhPhi),sin(PhPhi));
258
259 G4double s_inv = e*e;
260 complex<G4double> drho = DpRho(e);
261 complex<G4double> dom = DpOm(e);
262 complex<G4double> dphi = DpPhi(e);
263
264 complex<G4double> amp =
265 sqrt(WidthPg(s_inv,MsRho,GRho,BrRhoEtaG,MsEta)*MsRho3*BrRhoEe*GRho)/drho
266 + sqrt(WidthPg(s_inv,MsOm,GOm,BrOmEtaG,MsEta)*MsOm3*BrOmEe*GOm)/dom
267 + sqrt(WidthPg(s_inv,MsPhi,GPhi,BrPhiEtaG,MsEta)*MsPhi3*BrPhiEe*GPhi)*xf/dphi;
268
269 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
270
271 return cross;
272 }
273
274 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
275
276 G4double G4eeCrossSections::CrossSection2Kcharged(G4double e)
277 {
278 G4double s_inv = e*e;
279 complex<G4double> dphi = DpPhi(e);
280
281 complex<G4double> amp =
282 sqrt(Width2p(s_inv,MsPhi,GPhi,BrPhi2Kc,MsKc)*MsPhi3*BrPhiEe*GPhi)/dphi;
283
284 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
285
286 return cross;
287 }
288
289 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
290
291 G4double G4eeCrossSections::CrossSection2Kneutral(G4double e)
292 {
293 G4double s_inv = e*e;
294 complex<G4double> dphi = DpPhi(e);
295
296 complex<G4double> amp =
297 sqrt(Width2p(s_inv,MsPhi,GPhi,BrPhiKsKl,MsKs)*MsPhi3*BrPhiEe*GPhi)/dphi;
298
299 G4double cross = 12.0*pi*MeVnb*norm(amp)/(e*s_inv);
300
301 return cross;
302 }
303
304 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
305
306 G4double G4eeCrossSections::Width2p(G4double s_inv, G4double mres,
307 G4double gconst, G4double br, G4double mp)
308 {
309 G4double mp2 = 4.0*mp*mp;
310 G4double s0 = mres*mres;
311 G4double f = (s_inv - mp2)/(s0 - mp2);
312 if(f < 0.0) f = 0.0;
313 return gconst*br*sqrt(f)*f*s0/s_inv;
314 }
315
316 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
317
318 G4double G4eeCrossSections::Width3p(G4double s_inv, G4double mres,
319 G4double gconst, G4double br)
320 {
321 G4double w = PhaseSpace3p(sqrt(s_inv));
322 G4double w0= PhaseSpace3p(mres);
323 G4double x = gconst*br*w/w0;
324 return x;
325 }
326
327 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
328
329 G4double G4eeCrossSections::PhaseSpace3p(G4double e)
330 {
331 // E.A.Kuraev, Z.K.Silagadze.
332 // Once more about the omega->3 pi contact term.
333 // Yadernaya Phisica, 1995, V58, N9, p.1678-1694.
334
335 // G4bool b;
336 // G4double x = ph3p->GetValue(e, b);
337 G4double x = 1.0;
338 G4double emev = e/MeV;
339 G4double y = 414.12/emev;
340 x *= pow(e/MsOm, 5.0) * pow(emev*0.1, 3.0)*(1.0 - y*y);
341 return x;
342 }
343
344 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
345
346 G4double G4eeCrossSections::WidthPg(G4double s_inv, G4double mres,
347 G4double gconst, G4double br, G4double mp)
348 {
349 G4double mp2 = mp*mp;
350 G4double s0 = mres*mres;
351 G4double f = (s_inv - mp2)*mres/((s0 - mp2)*sqrt(s_inv));
352 if(f < 0.0) f = 0.0;
353 return gconst*br*f*f*f;
354 }
355
356 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
357
358 G4double G4eeCrossSections::WidthRho(G4double e)
359 {
360 G4double w = Width2p(e*e, MsRho, GRho, 1.0, MsPi);
361 return w;
362 }
363
364 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
365
366 G4double G4eeCrossSections::WidthOm(G4double e)
367 {
368 G4double s_inv = e*e;
369 G4double w = (Width3p(s_inv, MsOm, GOm, BrOm3Pi) +
370 WidthPg(s_inv, MsOm, GOm, BrOmPi0G, MsPi0) +
371 WidthPg(s_inv, MsOm, GOm, BrOmEtaG, MsEta) +
372 Width2p(s_inv, MsOm, GOm, BrOm2Pi, MsPi)) /
373 (BrOm3Pi+BrOmPi0G+BrOmEtaG+BrOm2Pi);
374 return w;
375 }
376
377 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
378
379 G4double G4eeCrossSections::WidthPhi(G4double e)
380 {
381 G4double s_inv = e*e;
382 G4double w = (Width3p(s_inv, MsPhi, GPhi, BrPhi3Pi) +
383 WidthPg(s_inv, MsPhi, GPhi, BrPhiPi0G, MsPi0) +
384 WidthPg(s_inv, MsPhi, GPhi, BrPhiEtaG, MsEta) +
385 Width2p(s_inv, MsPhi, GPhi, BrPhi2Kc, MsKc) +
386 Width2p(s_inv, MsPhi, GPhi, BrPhiKsKl, MsKs)) /
387 (BrPhi3Pi+BrPhiPi0G+BrPhiEtaG+BrPhi2Kc+BrPhiKsKl);
388 return w;
389 }
390
391 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
392
393 complex<G4double> G4eeCrossSections::DpRho(G4double e)
394 {
395 complex<G4double> d(MsRho*MsRho - e*e, -e*WidthRho(e));
396 return d;
397 }
398
399 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
400
401 complex<G4double> G4eeCrossSections::DpOm(G4double e)
402 {
403 complex<G4double> d(MsOm*MsOm - e*e, -e*WidthOm(e));
404 return d;
405 }
406
407 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
408
409 complex<G4double> G4eeCrossSections::DpPhi(G4double e)
410 {
411 complex<G4double> d(MsPhi*MsPhi - e*e, -e*WidthPhi(e));
412 return d;
413 }
414
415 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
416