The Elementary Process of Bremsstrahlung

Contents......Page 8
Preface......Page 6
1.1 General introduction......Page 13
1.2 Short historical note......Page 16
1.3 Notations and definitions......Page 17
2.1 Electron-nucleus bremsstrahlung......Page 21
2.1.1 Screening effects......Page 28
2.1.2 Bremsstrahlung linear polarization......Page 30
2.1.3 Bremsstrahlung from transversely polarized electrons......Page 34
2.2 Electron-electron bremsstrahlung......Page 35
2.3 Weizsacker-Williams method of virtual quanta......Page 38
3.1 Introduction......Page 39
3.2 Bremsstrahlung cross section......Page 40
3.3 Born approximation (Bethe-Heitler formula)......Page 44
3.3.1 Atomic screening......Page 59
3.3.2 Nuclear recoil effects......Page 62
3.3.3 Effects of nuclear structure......Page 63
3.4.1 Sommerfeld-Maue wave function......Page 67
3.4.2 Spin formalism......Page 73
3.4.3 Cross section......Page 75
3.4.4 Nonrelativistic approximation......Page 83
3.4.5 The short-wavelength limit......Page 84
3.4.6 Approximation for the long-wavelength limit and for high electron energies......Page 86
3.4.7 Cross section in second Born approximation......Page 88
3.5.1 Partial wave expansion......Page 91
3.5.2 Calculations with a relativistic self-consistent-field potential......Page 101
3.5.3 Calculation for a pure Coulomb potential......Page 105
3.6 Spin-dependent cross section and bremsstrahlung asymmetry......Page 109
3.7.1 General polarization correlation......Page 116
3.7.2 Linear polarization in Born approximation......Page 120
3.7.3 Circular polarization from polarized electrons in Born approximation......Page 124
3.8 Radiative corrections to bremsstrahlung......Page 127
4.1 Survey of experimental devices......Page 131
4.2.1 Angular distributions of photons for fixed directions of outgoing electrons......Page 133
4.2.2 Angular distributions of electrons for fixed photon directions......Page 135
4.2.3 Energy distributions for fixed electron and photon directions......Page 137
4.2.4 Wide-angle bremsstrahlung experiments at very high energies......Page 139
4.3.1 Linear polarization of bremsstrahlung emitted by unpolarized electrons......Page 140
4.3.2 Photon emission asymmetry of bremsstrahlung from transversely polarized electrons......Page 148
4.3.3 Further polarization correlations......Page 153
4.4 Tagged photons......Page 155
5.1 Introduction......Page 159
5.2 Kinematics......Page 160
5.2.1 Center-of-mass system......Page 163
5.2.2 Laboratory system......Page 164
5.3 Cross section......Page 169
5.3.1 Laboratory system (rest system of electron 2)......Page 173
5.3.3 Center-of-mass system of the outgoing electrons......Page 174
5.4 Bremsstrahlung in the field of bound electrons......Page 177
6.1 Electron-photon coincidence experiments without regard to polarization variables......Page 187
6.1.1 Angular distribution of photons for fixed electron direction......Page 188
6.1.2 Energy distributions......Page 190
6.2.1 Linear polarization of electron-electron bremsstrahlung emitted by unpolarized electrons......Page 194
6.2.2 Further polarization correlations......Page 197
7.1 Integrated cross sections......Page 199
7.2 Positron-nucleus bremsstrahlung......Page 202
7.3 Electron-positron bremsstrahlung......Page 204
7.4 Two-photon bremsstrahlung......Page 208
7.5 Polarization bremsstrahlung......Page 215
7.7 Bremsstrahlung from heavy particles......Page 218
7.8.3 Bremsstrahlung in a decay......Page 219
7.9.1 Electron-nucleus bremsstrahlung in strong magnetic fields......Page 220
7.10 Stimulated bremsstrahlung......Page 222
Conclusion......Page 223
Appendix A Problems......Page 225
Appendix B Squared matrix element of electron-electron bremsstrahlung......Page 253
Bibliography......Page 261
Index......Page 269