Creation of electron-positron pairs at excited Landau levels by neutrino in a strong magnetic field

TL;DR

This paper analyzes neutrino-induced electron-positron pair creation in strong magnetic fields, focusing on excited Landau levels, and calculates the neutrino energy loss relevant for astrophysical phenomena like gamma-ray bursts.

Contribution

It provides a detailed analysis of pair creation at excited Landau levels and computes neutrino energy loss, extending previous models to arbitrary magnetic field strengths.

Findings

Neutrino energy loss due to pair creation is quantified.

Electron-positron pairs can be created in excited Landau levels.

Results are applicable to astrophysical environments like black hole accretion disks.

Abstract

The process of neutrino production of electron positron pairs in a magnetic field of arbitrary strength, where electrons and positrons can be created in the states corresponding to excited Landau levels, is analysed. The mean value of the neutrino energy loss due to the process $\nu \to \nu e^- e^+$ is calculated. The result can be applied for calculating the efficiency of the electron-positron plasma production by neutrinos in the conditions of the Kerr black hole accretion disc considered by experts as the most possible source of a short cosmological gamma burst. The presented research can be also useful for further development of the calculation technic for an analysis of quantum processes in external active medium, and in part in the conditions of moderately strong magnetic field, when taking account of the ground Landau level appears to be insufficient.