Analytic Evaluation of the Decay Rate for Accelerated Proton

TL;DR

This paper analytically evaluates the decay rate of a uniformly accelerated proton, confirming consistency between inertial and accelerated frames by considering the Unruh effect and deriving a unified decay rate expression.

Contribution

It provides an explicit analytic expression for the proton decay rate under acceleration, incorporating thermal effects from the Unruh radiation, and verifies frame invariance.

Findings

Decay rate derived analytically for accelerated proton

Decay rates in inertial and accelerated frames are consistent

Thermal radiation effects are incorporated into decay calculations

Abstract

We evaluate the decay rate of the uniformly accelerated proton. We obtain an analytic expression for inverse beta decay process caused by the acceleration. We evaluate the decay rate both from the inertial frame and from the accelerated frame where we should consider thermal radiation by Unruh effect. We explicitly check that the decay rates obtained in both frame coincide with each other.