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G4PolarizedMollerCrossSection Class Reference

#include <G4PolarizedMollerCrossSection.hh>

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Public Member Functions

 G4PolarizedMollerCrossSection ()
 
virtual ~G4PolarizedMollerCrossSection ()
 
void Initialize (G4double x, G4double y, G4double phi, const G4StokesVector &p0, const G4StokesVector &p1, G4int flag=0) override
 
G4double XSection (const G4StokesVector &pol2, const G4StokesVector &pol3) override
 
G4double TotalXSection (G4double xmin, G4double xmax, G4double y, const G4StokesVector &pol0, const G4StokesVector &pol1) override
 
G4StokesVector GetPol2 () override
 
G4StokesVector GetPol3 () override
 
- Public Member Functions inherited from G4VPolarizedCrossSection
 G4VPolarizedCrossSection ()
 
virtual ~G4VPolarizedCrossSection ()
 
G4double GetYmin ()
 
virtual G4double GetXmin (G4double y)
 
virtual G4double GetXmax (G4double y)
 
void SetMaterial (G4double A, G4double Z, G4double coul)
 

Additional Inherited Members

- Protected Member Functions inherited from G4VPolarizedCrossSection
void SetXmin (G4double xmin)
 
void SetXmax (G4double xmax)
 
void SetYmin (G4double ymin)
 
- Protected Attributes inherited from G4VPolarizedCrossSection
G4double fXmin
 
G4double fXmax
 
G4double fYmin
 
G4double theA
 
G4double theZ
 
G4double fCoul
 

Detailed Description

Definition at line 53 of file G4PolarizedMollerCrossSection.hh.

Constructor & Destructor Documentation

G4PolarizedMollerCrossSection::G4PolarizedMollerCrossSection ( )

Definition at line 52 of file G4PolarizedMollerCrossSection.cc.

52  :
53  phi0(0.)
54 {
55  SetXmax(.5);
56 }

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G4PolarizedMollerCrossSection::~G4PolarizedMollerCrossSection ( )
virtual

Definition at line 57 of file G4PolarizedMollerCrossSection.cc.

57 {}

Member Function Documentation

G4StokesVector G4PolarizedMollerCrossSection::GetPol2 ( )
overridevirtual

Reimplemented from G4VPolarizedCrossSection.

Definition at line 264 of file G4PolarizedMollerCrossSection.cc.

265 {
266  // Note, mean polarization can not contain correlation
267  // effects.
268  return 1./phi0 * phi2;
269 }
G4StokesVector G4PolarizedMollerCrossSection::GetPol3 ( )
overridevirtual

Reimplemented from G4VPolarizedCrossSection.

Definition at line 270 of file G4PolarizedMollerCrossSection.cc.

271 {
272  // Note, mean polarization can not contain correlation
273  // effects.
274  return 1./phi0 * phi3;
275 }
void G4PolarizedMollerCrossSection::Initialize ( G4double  x,
G4double  y,
G4double  phi,
const G4StokesVector &  p0,
const G4StokesVector &  p1,
G4int  flag = 0 
)
overridevirtual

Reimplemented from G4VPolarizedCrossSection.

Definition at line 58 of file G4PolarizedMollerCrossSection.cc.

65 {
66  G4double re2 = classic_electr_radius * classic_electr_radius;
67  G4double gamma2=gamma*gamma;
68  G4double gmo = (gamma - 1.);
69  G4double gmo2 = (gamma - 1.)*(gamma - 1.);
70  G4double gpo = (gamma + 1.);
71  G4double pref = gamma2*re2/(gmo2*(gamma + 1.0));
72  G4double sqrttwo=std::sqrt(2.);
73  G4double f = (-1. + e);
74  G4double e2 = e*e;
75  G4double f2 = f*f;
76  // G4double w = e*(1. - e);
77 
78  G4bool polarized=(!pol0.IsZero())||(!pol1.IsZero());
79 
80  if (flag==0) polarized=false;
81  // Unpolarised part of XS
82  phi0 = 0.;
83  phi0+= gmo2/gamma2;
84  phi0+= ((1. - 2.*gamma)/gamma2)*(1./e + 1./(1.-e));
85  phi0+= 1./(e*e) + 1./((1. - e)*(1. - e));
86  phi0*=0.25;
87  // Initial state polarisarion dependence
88  if (polarized) {
89  G4double usephi=1.;
90  if (flag<=1) usephi=0.;
91  // G4cout<<"Polarized differential moller cross section"<<G4endl;
92  // G4cout<<"Initial state polarisation contributions"<<G4endl;
93  // G4cout<<"Diagonal Matrix Elements"<<G4endl;
94  G4double xx = (gamma - f*e*gmo*(3. + gamma))/(4.*f*e*gamma2);
95  G4double yy = (-1. + f*e*gmo2 + 2.*gamma)/(4.*f*e*gamma2);
96  G4double zz = (-(e*gmo*(3. + gamma)) + e2*gmo*(3. + gamma) +
97  gamma*(-1. + 2.*gamma))/(4.*f*e*gamma2);
98 
99  phi0 += xx*pol0.x()*pol1.x() + yy*pol0.y()*pol1.y() + zz*pol0.z()*pol1.z();
100 
101  if (usephi==1.) {
102  // G4cout<<"Non-diagonal Matrix Elements"<<G4endl;
103  G4double xy = 0.;
104  G4double xz = -((-1. + 2.*e)*gmo)/(2.*sqrttwo*gamma2*
105  std::sqrt(-((f*e)/gpo)));
106  G4double yx = 0.;
107  G4double yz = 0.;
108  G4double zx = -((-1. + 2.*e)*gmo)/(2.*sqrttwo*gamma2*
109  std::sqrt(-((f*e)/gpo)));
110  G4double zy = 0.;
111  phi0+=yx*pol0.y()*pol1.x() + xy*pol0.x()*pol1.y();
112  phi0+=zx*pol0.z()*pol1.x() + xz*pol0.x()*pol1.z();
113  phi0+=zy*pol0.z()*pol1.y() + yz*pol0.y()*pol1.z();
114  }
115  }
116  // Final state polarisarion dependence
117  phi2=G4ThreeVector();
118  phi3=G4ThreeVector();
119 
120  if (flag>=1) {
121  //
122  // Final Electron P1
123  //
124 
125  // initial electron K1
126  if (!pol0.IsZero()) {
127  G4double xxP1K1 = (std::sqrt(gpo/(1. + e2*gmo + gamma - 2.*e*gamma))*
128  (gamma - e*gpo))/(4.*e2*gamma);
129  G4double xyP1K1 = 0.;
130  G4double xzP1K1 = (-1. + 2.*e*gamma)/(2.*sqrttwo*f*gamma*
131  std::sqrt(e*e2*(1. + e + gamma - e*gamma)));
132  G4double yxP1K1 = 0.;
133  G4double yyP1K1 = (-gamma2 + e*(-1. + gamma*(2. + gamma)))/(4.*f*e2*gamma2);
134  G4double yzP1K1 = 0.;
135  G4double zxP1K1 = (1. + 2.*e2*gmo - 2.*e*gamma)/(2.*sqrttwo*f*e*gamma*
136  std::sqrt(e*(1. + e + gamma - e*gamma)));
137  G4double zyP1K1 = 0.;
138  G4double zzP1K1 = (-gamma + e*(1. - 2.*e*gmo + gamma))/(4.*f*e2*gamma*
139  std::sqrt(1. - (2.*e)/(f*gpo)));
140  phi2[0] += xxP1K1*pol0.x() + xyP1K1*pol0.y() + xzP1K1*pol0.z();
141  phi2[1] += yxP1K1*pol0.x() + yyP1K1*pol0.y() + yzP1K1*pol0.z();
142  phi2[2] += zxP1K1*pol0.x() + zyP1K1*pol0.y() + zzP1K1*pol0.z();
143  }
144  // initial electron K2
145  if (!pol1.IsZero()) {
146  G4double xxP1K2 = ((1. + e*(-3. + gamma))*std::sqrt(gpo/(1. + e2*gmo + gamma -
147  2.*e*gamma)))/(4.*f*e*gamma);
148  G4double xyP1K2 = 0.;
149  G4double xzP1K2 = (-2. + 2.*e + gamma)/(2.*sqrttwo*f2*gamma*
150  std::sqrt(e*(1. + e + gamma - e*gamma)));
151  G4double yxP1K2 = 0.;
152  G4double yyP1K2 = (1. - 2.*gamma + e*(-1. + gamma*(2. + gamma)))/(4.*f2*e*gamma2);
153  G4double yzP1K2 = 0.;
154  G4double zxP1K2 = (2.*e*(1. + e*gmo - 2.*gamma) + gamma)/(2.*sqrttwo*f2*gamma*
155  std::sqrt(e*(1. + e + gamma - e*gamma)));
156  G4double zyP1K2 = 0.;
157  G4double zzP1K2 = (1. - 2.*gamma + e*(-1. - 2.*e*gmo + 3.*gamma))/
158  (4.*f2*e*gamma*std::sqrt(1. - (2.*e)/(f*gpo)));
159  phi2[0] += xxP1K2*pol1.x() + xyP1K2*pol1.y() + xzP1K2*pol1.z();
160  phi2[1] += yxP1K2*pol1.x() + yyP1K2*pol1.y() + yzP1K2*pol1.z();
161  phi2[2] += zxP1K2*pol1.x() + zyP1K2*pol1.y() + zzP1K2*pol1.z();
162  }
163  //
164  // Final Electron P2
165  //
166 
167  // initial electron K1
168  if (!pol0.IsZero()) {
169 
170 
171  G4double xxP2K1 = (-1. + e + e*gamma)/(4.*f2*gamma*
172  std::sqrt((e*(2. + e*gmo))/gpo));
173  G4double xyP2K1 = 0.;
174  G4double xzP2K1 = -((1. + 2.*f*gamma)*std::sqrt(f/(-2. + e - e*gamma)))/
175  (2.*sqrttwo*f2*e*gamma);
176  G4double yxP2K1 = 0.;
177  G4double yyP2K1 = (1. - 2.*gamma + e*(-1. + gamma*(2. + gamma)))/(4.*f2*e*gamma2);
178  G4double yzP2K1 = 0.;
179  G4double zxP2K1 = (1. + 2.*e*(-2. + e + gamma - e*gamma))/(2.*sqrttwo*f*e*
180  std::sqrt(-(f*(2. + e*gmo)))*gamma);
181  G4double zyP2K1 = 0.;
182  G4double zzP2K1 = (std::sqrt((e*gpo)/(2. + e*gmo))*
183  (-3. + e*(5. + 2.*e*gmo - 3.*gamma) + 2.*gamma))/(4.*f2*e*gamma);
184 
185  phi3[0] += xxP2K1*pol0.x() + xyP2K1*pol0.y() + xzP2K1*pol0.z();
186  phi3[1] += yxP2K1*pol0.x() + yyP2K1*pol0.y() + yzP2K1*pol0.z();
187  phi3[2] += zxP2K1*pol0.x() + zyP2K1*pol0.y() + zzP2K1*pol0.z();
188  }
189  // initial electron K2
190  if (!pol1.IsZero()) {
191 
192  G4double xxP2K2 = (-2. - e*(-3. + gamma) + gamma)/
193  (4.*f*e*gamma* std::sqrt((e*(2. + e*gmo))/gpo));
194  G4double xyP2K2 = 0.;
195  G4double xzP2K2 = ((-2.*e + gamma)*std::sqrt(f/(-2. + e - e*gamma)))/
196  (2.*sqrttwo*f*e2*gamma);
197  G4double yxP2K2 = 0.;
198  G4double yyP2K2 = (-gamma2 + e*(-1. + gamma*(2. + gamma)))/(4.*f*e2*gamma2);
199  G4double yzP2K2 = 0.;
200  G4double zxP2K2 = (gamma + 2.*e*(-1. + e - e*gamma))/
201  (2.*sqrttwo*e2* std::sqrt(-(f*(2. + e*gmo)))*gamma);
202  G4double zyP2K2 = 0.;
203  G4double zzP2K2 = (std::sqrt((e*gpo)/(2. + e*gmo))*
204  (-2. + e*(3. + 2.*e*gmo - gamma) + gamma))/(4.*f*e2*gamma);
205  phi3[0] += xxP2K2*pol1.x() + xyP2K2*pol1.y() + xzP2K2*pol1.z();
206  phi3[1] += yxP2K2*pol1.x() + yyP2K2*pol1.y() + yzP2K2*pol1.z();
207  phi3[2] += zxP2K2*pol1.x() + zyP2K2*pol1.y() + zzP2K2*pol1.z();
208  }
209  }
210  phi0 *= pref;
211  phi2 *= pref;
212  phi3 *= pref;
213 }
G4ThreeVector
CLHEP::Hep3Vector G4ThreeVector
Definition: G4ThreeVector.hh:42
CLHEP::Hep3Vector::x
double x() const
G4bool
bool G4bool
Definition: G4Types.hh:79
G4double
double G4double
Definition: G4Types.hh:76

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G4double G4PolarizedMollerCrossSection::TotalXSection ( G4double  xmin,
G4double  xmax,
G4double  y,
const G4StokesVector &  pol0,
const G4StokesVector &  pol1 
)
overridevirtual

Reimplemented from G4VPolarizedCrossSection.

Definition at line 228 of file G4PolarizedMollerCrossSection.cc.

231 {
232  G4double xs=0.;
233 
234  G4double x=xmin;
235 
236  if (xmax != 1./2.) G4cout<<" warning xmax expected to be 1/2 but is "<<xmax<< G4endl;
237 
238  // re -> electron radius^2;
239  G4double re2 = classic_electr_radius * classic_electr_radius;
240  G4double gamma2=gamma*gamma;
241  G4double gmo2 = (gamma - 1.)*(gamma - 1.);
242  G4double logMEM = std::log(1./x - 1.);
243  G4double pref = twopi*gamma2*re2/(gmo2*(gamma + 1.0));
244  // unpolarise XS
245  G4double sigma0 = 0.;
246  sigma0 += (gmo2/gamma2)*(0.5 - x);
247  sigma0 += ((1. - 2.*gamma)/gamma2)*logMEM;
248  sigma0 += 1./x - 1./(1. - x);
249  // longitudinal part
250  G4double sigma2=0.;
251  sigma2 += ((gamma2 + 2.*gamma - 3.)/gamma2)*(0.5 - x);
252  sigma2 += (1./gamma - 2.)*logMEM;
253  // transverse part
254  G4double sigma3=0.;
255  sigma3 += (2.*(1. - gamma)/gamma2)*(0.5 - x);
256  sigma3 += (1. - 3.*gamma)/(2.*gamma2)*logMEM;
257  // total cross section
258  xs+=pref*(sigma0 + sigma2*pol0.z()*pol1.z() + sigma3*(pol0.x()*pol1.x()+pol0.y()*pol1.y()));
259 
260  return xs;
261 }
CLHEP::Hep3Vector::x
double x() const
test.x
tuple x
Definition: test.py:50
CLHEP::Hep3Vector::z
double z() const
twopi
static constexpr double twopi
Definition: G4SIunits.hh:76
G4cout
G4GLOB_DLL std::ostream G4cout
CLHEP::Hep3Vector::y
double y() const
G4endl
#define G4endl
Definition: G4ios.hh:61
G4double
double G4double
Definition: G4Types.hh:76

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G4double G4PolarizedMollerCrossSection::XSection ( const G4StokesVector &  pol2,
const G4StokesVector &  pol3 
)
overridevirtual

Implements G4VPolarizedCrossSection.

Definition at line 215 of file G4PolarizedMollerCrossSection.cc.

217 {
218  G4double xs=0.;
219  xs+=phi0;
220 
221  G4bool polarized=(!pol2.IsZero())||(!pol3.IsZero());
222  if (polarized) {
223  xs+=phi2*pol2 + phi3*pol3;
224  }
225  return xs;
226 }
G4StokesVector::IsZero
G4bool IsZero() const
Definition: G4StokesVector.hh:78
G4bool
bool G4bool
Definition: G4Types.hh:79
G4double
double G4double
Definition: G4Types.hh:76

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The documentation for this class was generated from the following files: