Pair Production and Vacuum Polarization of Arbitrary Spin Particles with EDM and AMM

TL;DR

This paper derives exact solutions for arbitrary spin particles with EDM and AMM in electromagnetic fields, calculates pair production probabilities, and assesses vacuum polarization effects, advancing understanding of quantum field interactions with complex particles.

Contribution

It provides the first exact solutions for arbitrary spin particles with EDM and AMM in constant electromagnetic fields and analyzes their impact on vacuum stability and nonlinear electrodynamics.

Findings

Exact solutions for arbitrary spin particles with EDM and AMM

Calculated pair production probabilities in electromagnetic fields

Estimated vacuum polarization effects and nonlinear corrections

Abstract

The exact solutions of the wave equation for arbitrary spin particles with electric dipole and magnetic moments in the constant and uniform electromagnetic field were found. The differential probability of pair production of particles by an external electromagnetic field has been calculated on the basis of the exact solutions. We have also estimated the imaginary part of the constant and uniform electromagnetic field. The nonlinear corrections to the Maxwell Lagrangian have been calculated taking into account the vacuum polarization of arbitrary spin particles. The role of electric dipole and magnetic moments of arbitrary spin particles in instability of the vacuum is discussed.