Covariant tensor formalism for partial wave analyses of $\psi$ decays into $\gamma B\bar{B}$

Abstract

Recently BES2 collaboration observed an enhancement near the $p\bar{p}$ invariant mass spectrum. Using the covariant tensor formalism, here we provide theoretical formulae for the partial wave analysis (PWA) of the $\psi$ radiative decay channels $\psi \to \gamma p\bar{p},\gamma \Lambda \bar{\Lambda },\gamma \Sigma \bar{\Sigma },\gamma \Xi \bar{\Xi }$ . By performing the Monte Carlo simulation, we give the angular distributions for the photon and proton in the process of $J/\psi \to \gamma p\bar{p}$, which may serve as a useful reference for the future PWA on these channels.

Comments: 13 pages,5 figures