Graphic Determination of the Differential Cross Sections of Bethe-Heitler and Pauli-Weisskopf in Extreme Relativistic Limits; GRAPHISCHE DARSTELLUNG DER DIFFERENTIELLEN WIRKUNGSQUERSCHNITTE VON BETHE-HEITLER UND PAULI-WEISSKOPF IN EXTREM RELATIVISTISCHEN GRENZFALL
The differential cross sections for pair productions of fermions with spin 1/2 was first given by Bethe-Heitler, and the corresponding expression for bosons with spin 0 was given by Pauli-Weisskopf. At high primary gamma energy, there are significant deviations from these first approximations. In the present report, extremely relativistic approximations of the Bethe-Heitler and Pauli- Weisskopf formulas were derived and represented graphically. These approximations are not valid for angles theta << 1. The dependence on the primary energy is represented in a simple manner. The ex tremely relativistic limiting cases for fermions and bosons are derived. The effect of shielding on the scattering cross section is determined. (J.S.R.)
- Research Organization:
- Deutsches Elektronen-Synchrotron, Hamburg
- NSA Number:
- NSA-16-032271
- OSTI ID:
- 4759937
- Report Number(s):
- DESY-A2.87
- Country of Publication:
- Germany
- Language:
- English
Similar Records
Intermediate energy approximation of the Bethe-Heitler formula for the bremsstrahlung cross-sections
Bethe-Heitler process in polarized photon-nucleon interactions