Quantum field theoretic treatment of pion production via proton synchrotron radiation in strong magnetic fields: Effects of Landau levels

Abstract

We study pion production from proton synchrotron radiation in the presence of strong magnetic fields by using the exact proton propagator in a strong magnetic field and 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 semiclassical approach. However, we also find that the anomalous magnetic moment of the proton greatly enhances the production rate about by 2 orders of magnitude.