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

TL;DR

This paper investigates the X(1835) as a baryonium state using the Bethe-Salpeter equation, calculating mass spectra of various baryon-antibaryon pairs to support its potential identification as a proton-antiproton bound state.

Contribution

It introduces a Bethe-Salpeter equation approach with a phenomenological potential to analyze baryonium states, providing new insights into the nature of X(1835).

Findings

Possible existence of p̄p, Σ̄Σ, and Ξ̄Ξ bound states.

X(1835) may be identified as a p̄p bound state.

Supports baryonium interpretation of X(1835).

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.