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. Results in this exact quantum approach do not agree with those obtained in the semi-classical approach. Then, we find that the anomalous magnetic moment of the proton greatly enhances the production rate by about two orders magnitude, and that the decay width satisfies a robust scaling law.
Highlights
It is widely accepted that soft gamma repeaters (SGRs) and anomalous X-ray pulsars (AXPs) correspond to magnetars [1], and that the associated strong magnetic fields may have a significant role in the production of high energy photons
We have calculated the pion synchrotron radiation from high energy protons propagating in strong magnetic fields in a microscopic quantum field theoretical framework
We find out that the anomalous magnetic moment has a very large effect which enlarges the emission rate by about 50 times, and that the polar angles of the emitted pion and the final pion are almost the same as that of the initial proton, when the proton energy is 10 GeV and the magnetic field is 5 × 1017G
Summary
It is widely accepted that soft gamma repeaters (SGRs) and anomalous X-ray pulsars (AXPs) correspond to magnetars [1], and that the associated strong magnetic fields may have a significant role in the production of high energy photons. Synchrotron radiation can be produced by high-energy protons accelerated in an environment containing a strong magnetic field. This process has been proposed as a source for highenergy photons in the GeV − TeV range [5,6,7,8,9,10]. Theoretical calculations were performed approximately in a semi-classical way [11,12,13,14,15] and each model gave a different result These model could not give a momentumdistribution of a final pion. We show the energy and angular distributions of emitted pions
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