Possible Emission of Cosmic $X$-- and $\gamma$--rays by Unstable Particles at Late Times

TL;DR

This paper proposes a quantum mechanical mechanism where unstable particles can emit electromagnetic radiation, including X- and gamma-rays, during transition times when their instantaneous energy becomes very large.

Contribution

It introduces a novel emission mechanism for unstable particles at late times based on their quantum properties and transition time effects.

Findings

Unstable particles can emit electromagnetic radiation during transition times.

Instantaneous energy of unstable particles can greatly exceed their typical energy.

Quantum effects at transition times may explain some astrophysical X- and gamma-ray emissions.

Abstract

Not all astrophysical mechanisms of the emission of electromagnetic radiation including $X$-- and $\gamma$-- rays coming from the space are clear. We find that charged unstable particles as well as neutral unstable particles with non--zero magnetic moment which live sufficiently long may emit electromagnetic radiation. This new mechanism is connected with the properties of unstable particles at the post exponential time region. Analyzing the transition time region between exponential and non-exponential form of the survival amplitude it is found that the instantaneous energy of the unstable particle can take very large values, much larger than the energy of this state for times from the exponential time region. Basing on the results obtained for the model considered, it is shown that this purely quantum mechanical effect may be responsible for causing unstable particles to emit electromagnetic--, $X$-- or $\gamma$--rays at some time intervals from the transition time regions.