$\sigma$ Meson In $J/\Psi$ Decays

Abstract

Recently BES at BEPC found evidence for the existence of the $\sigma$ meson in the process of $J/\Psi \to \sigma \omega \to \pi \pi \omega$. In this paper we firstly discuss the relevant coupling $g_{\sigma \pi \pi }$ and show that the linear $\sigma$ model gives rise to a reasonable description of the $\sigma$ decay into $\pi$'s, then we calculate the coupling constant $g_{J/\Psi \sigma \omega }^{th}$ by using the perturbative QCD technique and the light-cone wave functions of the $\sigma$ and $\omega$ mesons. The results show that the theoretical value of $g_{J/\Psi \sigma \omega }^{th}$ is within the range of experimental value $g_{J/\Psi \sigma \omega }$.

Comments: 9 pages, 2 figures,accepted by PRD