Rho meson decay in presence of magnetic field

Abstract

We find a general expression for the one-loop self-energy function of neutral $ρ$-meson due to $π^+π^-$ intermediate state in a background magnetic field, valid for arbitrary magnitudes of the field. The pion propagator used in this expression is given by Schwinger, which depends on a proper-time parameter. Restricting to weak fields, we calculate the decay rate $Γ(ρ^0 \rightarrow π^+ +π^-)$, which changes negligibly from the vacuum value.

16 pages, 2 figures; One appendix added