Analysis of the $X(1835)$ as a baryonium state with Bethe-Salpeter equation

Abstract

In this article, we take the X(1835) as a pseudoscalar baryonium state, and calculate the mass spectrum of the baryon-antibaryon bound states $p\bar{p}$, $\Sigma \bar{\Sigma }$, $\Xi \bar{\Xi }$, and $\Lambda \bar{\Lambda }$ in the framework of the Bethe-Salpeter equation with a phenomenological potential. The numerical results indicate the $p\bar{p}$, $\Sigma \bar{\Sigma }$ and $\Xi \bar{\Xi }$ bound states maybe exist, and the $X(1835)$ can be tentatively identified as the $p\bar{p}$ bound state.

Comments: 7 pages, 1 figure, published version