Quantum Field Theoretic Treatment of Pion Production via Proton Synchrotron Radiation in Strong Magnetic Fields: Effects of Landau Levels

TL;DR

This paper presents a quantum field theory analysis of pion production from protons in strong magnetic fields, highlighting the significant impact of the proton's anomalous magnetic moment on emission rates.

Contribution

It provides an exact proton propagator derivation including anomalous magnetic moments, revealing quantum effects that differ from semi-classical predictions.

Findings

Quantum approach yields smaller pion emission than semi-classical models.

Proton's anomalous magnetic moment increases production rate by about two orders of magnitude.

Exact quantum calculations are crucial for accurate modeling in strong magnetic fields.

Abstract

We study pion production from proton synchrotron radiation in the presence of strong magnetic fields. We derive the exact proton propagator from the Dirac equation in a strong magnetic field by explicitly including the anomalous magnetic moment. In this exact quantum-field approach the magnitude of pion synchrotron emission turns out to be much smaller than that obtained in the semi-classical approach. However, we also find that the anomalous magnetic moment of the proton greatly enhances the production rate about by two order magnitude.