Reparameterization invariance in accelerated proton decay

Abstract

Abstract The inverse β-decay of uniformly accelerated protons has proved to be a useful playground to investigate the asymptotic nature of mixed neutrino states - either flavor or mass. Based on recent results, here we explore in more depth the role of neutrino mixing in the inverse β-decay and the consistency with CP-violation in flavor oscillations. We compute the proton decay rate Γ both in the laboratory and in the comoving frame, taking into account the emergence of Unruh effect in the latter. We show that, while the flavor representation correctly leads to a CP-quantifier A C P ( e , μ ) ≡ Γ ν e , ν μ − Γ ν ¯ e , ν ¯ μ proportional to Jarlskog invariant, mass states give instead a vanishing value for such parameter. This implies that the mass basis cannot account for CP-asymmetry in neutrino oscillations, making its usage meaningless.