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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 <<
33 // 32 //
34 #define INCLXX_IN_GEANT4_MODE 1 33 #define INCLXX_IN_GEANT4_MODE 1
35 34
36 #include "globals.hh" 35 #include "globals.hh"
37 36
38 /** \file G4INCLCoulombNonRelativistic.cc 37 /** \file G4INCLCoulombNonRelativistic.cc
39 * \brief Class for non-relativistic Coulomb d 38 * \brief Class for non-relativistic Coulomb distortion.
40 * 39 *
41 * \date 14 February 2011 40 * \date 14 February 2011
42 * \author Davide Mancusi 41 * \author Davide Mancusi
43 */ 42 */
44 43
45 #include "G4INCLCoulombNonRelativistic.hh" 44 #include "G4INCLCoulombNonRelativistic.hh"
46 #include "G4INCLGlobals.hh" 45 #include "G4INCLGlobals.hh"
47 46
48 namespace G4INCL { 47 namespace G4INCL {
49 48
50 ParticleEntryAvatar *CoulombNonRelativistic: 49 ParticleEntryAvatar *CoulombNonRelativistic::bringToSurface(Particle * const p, Nucleus * const n) const {
51 // No distortion for neutral particles 50 // No distortion for neutral particles
52 if(p->getZ()!=0) { 51 if(p->getZ()!=0) {
53 const G4bool success = coulombDeviation( 52 const G4bool success = coulombDeviation(p, n);
54 if(!success) // transparent 53 if(!success) // transparent
55 return NULL; 54 return NULL;
56 } 55 }
57 56
58 // Rely on the CoulombNone slave to comput 57 // Rely on the CoulombNone slave to compute the straight-line intersection
59 // and actually bring the particle to the 58 // and actually bring the particle to the surface of the nucleus
60 return theCoulombNoneSlave.bringToSurface( 59 return theCoulombNoneSlave.bringToSurface(p,n);
61 } 60 }
62 61
63 IAvatarList CoulombNonRelativistic::bringToS 62 IAvatarList CoulombNonRelativistic::bringToSurface(Cluster * const c, Nucleus * const n) const {
64 // Neutral clusters?! 63 // Neutral clusters?!
65 // assert(c->getZ()>0); 64 // assert(c->getZ()>0);
66 65
67 // Perform the actual Coulomb deviation 66 // Perform the actual Coulomb deviation
68 const G4bool success = coulombDeviation(c, 67 const G4bool success = coulombDeviation(c, n);
69 if(!success) { 68 if(!success) {
70 return IAvatarList(); 69 return IAvatarList();
71 } 70 }
72 71
73 // Rely on the CoulombNone slave to comput 72 // Rely on the CoulombNone slave to compute the straight-line intersection
74 // and actually bring the particle to the 73 // and actually bring the particle to the surface of the nucleus
75 return theCoulombNoneSlave.bringToSurface( 74 return theCoulombNoneSlave.bringToSurface(c,n);
76 } 75 }
77 76
78 void CoulombNonRelativistic::distortOut(Part 77 void CoulombNonRelativistic::distortOut(ParticleList const &pL,
79 Nucleus const * const nucleus) const { 78 Nucleus const * const nucleus) const {
80 79
81 for(ParticleIter particle=pL.begin(), e=pL << 80 for(ParticleIter particle=pL.begin(); particle!=pL.end(); ++particle) {
82 81
83 const G4int Z = (*particle)->getZ(); 82 const G4int Z = (*particle)->getZ();
84 if(Z == 0) continue; 83 if(Z == 0) continue;
85 84
86 const G4double tcos=1.-0.000001; 85 const G4double tcos=1.-0.000001;
87 86
88 const G4double et1 = PhysicalConstants:: 87 const G4double et1 = PhysicalConstants::eSquared * nucleus->getZ();
89 const G4double transmissionRadius = 88 const G4double transmissionRadius =
90 nucleus->getDensity()->getTransmission 89 nucleus->getDensity()->getTransmissionRadius(*particle);
91 90
92 const ThreeVector position = (*particle) 91 const ThreeVector position = (*particle)->getPosition();
93 ThreeVector momentum = (*particle)->getM 92 ThreeVector momentum = (*particle)->getMomentum();
94 const G4double r = position.mag(); 93 const G4double r = position.mag();
95 const G4double p = momentum.mag(); 94 const G4double p = momentum.mag();
96 const G4double cosTheta = position.dot(m 95 const G4double cosTheta = position.dot(momentum)/(r*p);
97 if(cosTheta < 0.999999) { 96 if(cosTheta < 0.999999) {
98 const G4double sinTheta = std::sqrt(1. 97 const G4double sinTheta = std::sqrt(1.-cosTheta*cosTheta);
99 const G4double eta = et1 * Z / (*parti 98 const G4double eta = et1 * Z / (*particle)->getKineticEnergy();
100 if(eta > transmissionRadius-0.0001) { 99 if(eta > transmissionRadius-0.0001) {
101 // If below the Coulomb barrier, rad 100 // If below the Coulomb barrier, radial emission:
102 momentum = position * (p/r); 101 momentum = position * (p/r);
103 (*particle)->setMomentum(momentum); 102 (*particle)->setMomentum(momentum);
104 } else { 103 } else {
105 const G4double b0 = 0.5 * (eta + std 104 const G4double b0 = 0.5 * (eta + std::sqrt(eta*eta +
106 4. * std::pow(transmissionRadi 105 4. * std::pow(transmissionRadius*sinTheta,2)
107 * (1.-eta/transmissionRadius)) 106 * (1.-eta/transmissionRadius)));
108 const G4double bInf = std::sqrt(b0*( 107 const G4double bInf = std::sqrt(b0*(b0-eta));
109 const G4double thr = std::atan(eta/( 108 const G4double thr = std::atan(eta/(2.*bInf));
110 G4double uTemp = (1.-b0/transmission 109 G4double uTemp = (1.-b0/transmissionRadius) * std::sin(thr) +
111 b0/transmissionRadius; << 110 b0/transmissionRadius;
112 if(uTemp>tcos) uTemp=tcos; 111 if(uTemp>tcos) uTemp=tcos;
113 const G4double thd = Math::arcCos(co << 112 const G4double thd = std::acos(cosTheta)-Math::piOverTwo + thr +
114 Math::arcCos(uTemp); << 113 std::acos(uTemp);
115 const G4double c1 = std::sin(thd)*co 114 const G4double c1 = std::sin(thd)*cosTheta/sinTheta + std::cos(thd);
116 const G4double c2 = -p*std::sin(thd) 115 const G4double c2 = -p*std::sin(thd)/(r*sinTheta);
117 const ThreeVector newMomentum = mome 116 const ThreeVector newMomentum = momentum*c1 + position*c2;
118 (*particle)->setMomentum(newMomentum 117 (*particle)->setMomentum(newMomentum);
119 } 118 }
120 } 119 }
121 } 120 }
122 } 121 }
123 122
124 G4double CoulombNonRelativistic::maxImpactPa 123 G4double CoulombNonRelativistic::maxImpactParameter(ParticleSpecies const &p, const G4double kinE,
125 << 124 Nucleus const * const n) const {
126 const G4double theMinimumDistance = minimu << 125 G4double theMaxImpactParameter = maxImpactParameterParticle(p, kinE, n);
127 G4double rMax = n->getUniverseRadius(); << 126 if(theMaxImpactParameter <= 0.)
>> 127 return 0.;
128 if(p.theType == Composite) 128 if(p.theType == Composite)
129 rMax += 2.*ParticleTable::getLargestNuc << 129 theMaxImpactParameter += 2.*ParticleTable::getNuclearRadius(p.theA, p.theZ);
>> 130 return theMaxImpactParameter;
>> 131 }
>> 132
>> 133 G4double CoulombNonRelativistic::maxImpactParameterParticle(ParticleSpecies const &p, const G4double kinE,
>> 134 Nucleus const * const n) const {
>> 135 const G4double theMinimumDistance = minimumDistance(p, kinE, n);
>> 136 const G4double rMax = n->getCoulombRadius(p);
130 const G4double theMaxImpactParameterSquare 137 const G4double theMaxImpactParameterSquared = rMax*(rMax-theMinimumDistance);
131 if(theMaxImpactParameterSquared<=0.) 138 if(theMaxImpactParameterSquared<=0.)
132 return 0.; 139 return 0.;
133 const G4double theMaxImpactParameter = std << 140 G4double theMaxImpactParameter = std::sqrt(theMaxImpactParameterSquared);
134 return theMaxImpactParameter; 141 return theMaxImpactParameter;
135 } 142 }
136 143
137 G4bool CoulombNonRelativistic::coulombDeviat 144 G4bool CoulombNonRelativistic::coulombDeviation(Particle * const p, Nucleus const * const n) const {
138 // Determine the rotation angle and the ne 145 // Determine the rotation angle and the new impact parameter
139 ThreeVector positionTransverse = p->getTra 146 ThreeVector positionTransverse = p->getTransversePosition();
140 const G4double impactParameterSquared = po << 147 const G4double impactParameter = positionTransverse.mag();
141 const G4double impactParameter = std::sqrt <<
142 148
143 // Some useful variables 149 // Some useful variables
144 const G4double theMinimumDistance = minimu 150 const G4double theMinimumDistance = minimumDistance(p, n);
145 // deltaTheta2 = (pi - Rutherford scatteri 151 // deltaTheta2 = (pi - Rutherford scattering angle)/2
146 G4double deltaTheta2 = std::atan(2.*impact << 152 const G4double deltaTheta2 = std::atan(2.*impactParameter/theMinimumDistance);
147 if(deltaTheta2<0.) <<
148 deltaTheta2 += Math::pi; <<
149 const G4double eccentricity = 1./std::cos( 153 const G4double eccentricity = 1./std::cos(deltaTheta2);
150 154
151 G4double newImpactParameter, alpha; // Par 155 G4double newImpactParameter, alpha; // Parameters that must be determined by the deviation
152 156
153 const G4double radius = getCoulombRadius(p << 157 ParticleSpecies aSpecies = p->getSpecies();
154 const G4double impactParameterTangentSquar << 158 G4double kineticEnergy = p->getKineticEnergy();
155 if(impactParameterSquared >= impactParamet << 159 // Note that in the following call to maxImpactParameter we are not
156 // The particle trajectory misses the Co << 160 // interested in the size of the cluster. This is why we call
157 // In this case the new impact parameter << 161 // maxImpactParameterParticle.
158 // approach of the hyperbola << 162 if(impactParameter>maxImpactParameterParticle(aSpecies, kineticEnergy, n)) {
159 // assert(std::abs(1. + 2.*impactParameter*imp << 163 // This should happen only for composite particles, whose trajectory can
>> 164 // geometrically miss the nucleus but still trigger a cascade because of
>> 165 // the finite extension of the projectile.
>> 166 // In this case, the sphere radius is the minimum distance of approach
>> 167 // and the kinematics is very simple.
160 newImpactParameter = 0.5 * theMinimumDis 168 newImpactParameter = 0.5 * theMinimumDistance * (1.+eccentricity); // the minimum distance of approach
161 alpha = Math::piOverTwo - deltaTheta2; / 169 alpha = Math::piOverTwo - deltaTheta2; // half the Rutherford scattering angle
162 } else { 170 } else {
163 // The particle trajectory intersects th 171 // The particle trajectory intersects the Coulomb sphere
164 172
165 // Compute the entrance angle 173 // Compute the entrance angle
166 const G4double argument = -(1. + 2.*impa << 174 const G4double radius = n->getCoulombRadius(p->getSpecies());
>> 175 G4double argument = -(1. + 2.*impactParameter*impactParameter/(radius*theMinimumDistance))
167 / eccentricity; 176 / eccentricity;
168 const G4double thetaIn = Math::twoPi - M << 177 const G4double thetaIn = Math::twoPi - std::acos(argument) - deltaTheta2;
169 178
170 // Velocity angle at the entrance point 179 // Velocity angle at the entrance point
171 alpha = std::atan((1+std::cos(thetaIn)) 180 alpha = std::atan((1+std::cos(thetaIn))
172 / (std::sqrt(eccentricity*eccentricity << 181 / (std::sqrt(eccentricity*eccentricity-1.) - std::sin(thetaIn)));
173 * Math::sign(theMinimumDistance); <<
174 // New impact parameter 182 // New impact parameter
175 newImpactParameter = radius * std::sin(t 183 newImpactParameter = radius * std::sin(thetaIn - alpha);
176 } 184 }
177 185
178 // Modify the impact parameter of the part 186 // Modify the impact parameter of the particle
179 positionTransverse *= newImpactParameter/p 187 positionTransverse *= newImpactParameter/positionTransverse.mag();
180 const ThreeVector theNewPosition = p->getL 188 const ThreeVector theNewPosition = p->getLongitudinalPosition() + positionTransverse;
181 p->setPosition(theNewPosition); 189 p->setPosition(theNewPosition);
182 190
183 // Determine the rotation axis for the inc 191 // Determine the rotation axis for the incoming particle
184 const ThreeVector &momentum = p->getMoment 192 const ThreeVector &momentum = p->getMomentum();
185 ThreeVector rotationAxis = momentum.vector 193 ThreeVector rotationAxis = momentum.vector(positionTransverse);
186 const G4double axisLength = rotationAxis.m 194 const G4double axisLength = rotationAxis.mag();
187 // Apply the rotation 195 // Apply the rotation
188 if(axisLength>1E-20) { 196 if(axisLength>1E-20) {
189 rotationAxis /= axisLength; 197 rotationAxis /= axisLength;
190 p->rotatePositionAndMomentum(alpha, rota << 198 p->rotate(alpha, rotationAxis);
191 } 199 }
192 200
193 return true; 201 return true;
194 } <<
195 <<
196 G4double CoulombNonRelativistic::getCoulombR <<
197 if(p.theType == Composite) { <<
198 const G4int Zp = p.theZ; <<
199 const G4int Ap = p.theA; <<
200 const G4int Zt = n->getZ(); <<
201 const G4int At = n->getA(); <<
202 G4double barr, radius = 0.; <<
203 if(Zp==1 && Ap==2) { // d <<
204 barr = 0.2565*Math::pow23((G4double)At <<
205 radius = PhysicalConstants::eSquared*Z <<
206 } else if(Zp==1 && Ap==3) { // t <<
207 barr = 0.5*(0.5009*Math::pow23((G4doub <<
208 radius = PhysicalConstants::eSquared*Z <<
209 } else if(Zp==2) { // alpha, He3 <<
210 barr = 0.5939*Math::pow23((G4double)At <<
211 radius = PhysicalConstants::eSquared*Z <<
212 } else if(Zp>2) { <<
213 // Coulomb radius from the Shen model <<
214 const G4double Ap13 = Math::pow13((G4d <<
215 const G4double At13 = Math::pow13((G4d <<
216 const G4double rp = 1.12*Ap13 - 0.94/A <<
217 const G4double rt = 1.12*At13 - 0.94/A <<
218 const G4double someRadius = rp+rt+3.2; <<
219 const G4double theShenBarrier = Physic <<
220 radius = PhysicalConstants::eSquared*Z <<
221 } <<
222 if(radius<=0.) { <<
223 radius = ParticleTable::getLargestNucl <<
224 INCL_ERROR("Negative Coulomb radius! U <<
225 } <<
226 INCL_DEBUG("Coulomb radius for particle <<
227 << ParticleTable::getShortName(p) <<
228 ", Z=" << Zt << ": " << radius << <<
229 return radius; <<
230 } else <<
231 return n->getUniverseRadius(); <<
232 } 202 }
233 203
234 } 204 }
235 205