Rho meson decay in presence of magnetic field

Abstract

We find a general expression for the one-loop self-energy function of neutral $\rho$-meson due to ${\pi }^{+}{\pi }^{-}$ 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 $\Gamma ({\rho }^0\to {\pi }^{+}+{\pi }^{-})$, which changes negligibly from the vacuum value.

Comments: 16 pages, 2 figures; One appendix added