Neutral pion decay in dense skyrmion matter

Abstract

We study the density dependence of the decay $π^0\to γγ$ using the Skyrme Lagrangian to describe simultaneously both the matter background and mesonic fluctuations. Pion properties such as mass and decay constant are modified by the medium. This leads to large suppression at high density of both photo-production from the neutral pion and the reverse process. The in-medium effective charge of $π^{\pm}$ are also discussed in the same framework.