Resonant generation of an electron–positron pair by two photons to excited Landau levels

Abstract

We consider the resonant generation of an electronpositron 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.

Electron-Positron Pair Photoproduction in a Strong Magnetic Field Through the Polarization Cascade

“…( 13) depend on ′ . Note that this propagator is widely used, when calculating the amplitudes of the second-order processes in which the electron plays the role of an intermediate particle (see, e.g., works [38][39][40]49]).…”

“…In works [12,18,37], the optical theorem was used to derive general expressions for the probabilities of the electron-positron pair production by a photon. Note also that, in the works [38,39], the resonant case of the process of electron-positron pair generation in a magnetic field by two photons was considered. In work [40], the 1 and resonant 2 pair creation processes were compared at the parameter values that are typical of the neutron star magnetosphere, and the limiting concentration of cyclotron photons at which the second-order process dominates over the first-order one was determined.…”

Vacuum Birefringence in a Supercritical Magnetic Field

“…Later, it was found in works [25,26] using a slightly different method and in work [27] using precise solutions of the Dirac equation. It should be noted that this propagator was used in works [28][29][30][31] to calculate the amplitudes of second-order processes with the electron as an intermediate particle. The propagator has the form…”

“…In other words, the resonance condition is obeyed. In this case, the process width, which is usually associated with the total probability of the intermediate state decay [29][30][31], has to be taken into account. From expression (22), it is evident that the parameter˜plays the role of the resonance process width.…”

A cascade ofe−e+pair production by a photon with subsequent annihilation to a single photon in a strong magnetic field

“…Here, η = (k 2 x + k 2 y )/2hm 2 . It should be noted that based on the formula for the amplitude (27) the optical theorem can be derived. In other words the rate of single-photon electron-positron pair production is determined by the imaginary part of the amplitude of the studied process.…”