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

## TL;DR

This paper investigates the resonant creation of electron-positron pairs by two polarized photons in a magnetic field, focusing on transitions to low Landau levels and calculating the process's cross section.

## Contribution

It introduces a detailed analysis of resonant pair production to low Landau levels considering particle spins and magnetic moment orientations.

## Key findings

- Resonance occurs when photon energies meet specific thresholds.
- Cross section is maximized with magnetic moments aligned along the magnetic field.
- The process enables pair creation at arbitrarily low 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.