Rho meson decay in the presence of a magnetic field

Abstract

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