Resonant Generation of an Electron-Positron Pair by Two Photons to Excited Landau Levels

Abstract

We consider the resonant generation of an electron-positron pair by two polarized photons to arbitrarily low Landau levels. The resonance occurs when the energy of one photon exceeds the one-photon generation threshold, and the energy of the other photon is multiple to the spacing between the levels. The cross section of the process is determined taking into account the spins of particles. The order of magnitude of the cross section is the highest when the magnetic moments of the particles are oriented along the magnetic field.

5 pages, 3 figures

References in corpus (3)

• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interaction
• The Exact Electron Propagator in a Magnetic Field as the Sum over Landau Levels on a Basis of the Dirac Equation Exact Solutions

Cited by in corpus (1)

• A cascade of $e^{-}{e}^{+}$ pair production by a photon with subsequent annihilation to a single photon in a strong magnetic field