Abstract

The process of the photon splitting, γ → γγ, is investigated in strongly magnetized vacuum with taking into account positronium influence. The dispersion properties of photons and the new polarization selection rules are obtained. The absorption rate of the leading photon splitting channels are calculated with taking account of the photon dispersion and wave function renormalization.

Highlights

  • The process of photon splitting into two photons, which is forbidden in vacuum by charge conjugation symmetry of QED known as Furry’s theorem, becomes allowed in the presence of external magnetic field

  • The absorption rate of the leading photon splitting channels are calculated with taking account of the photon dispersion and wave function renormalization

  • This process was investigated in numerous papers because of it’s possible applications in astrophysics. It may play an important role in explanation of peculiarities in the gamma-ray spectra of some radio pulsars, the radio quiescence of soft gamma repeaters (SGRs) and anomalous X-ray pulsars (AXPs) and mechanisms of the SGR burst [3]

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Summary

Introduction

The process of photon splitting into two photons, which is forbidden in vacuum by charge conjugation symmetry of QED known as Furry’s theorem, becomes allowed in the presence of external magnetic field. This process was investigated in numerous papers because of it’s possible applications in astrophysics (for detailed review see pioneer work [1] and recent paper [2]). It’s interesting to calculate the probability of photon splitting process in strong magnetic field with taking into account variations of dispertion properties and kinematics due to positronium influence

Photon dispersion with taking into account positronium influence
The probability of the photon splitting
Conclusion
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