Investigate the glueball-like particle $X(2370)$ in $B$ meson decays

TL;DR

This paper analyzes the $X(2370)$ particle in $B$ meson decays, providing evidence for its glueball nature and estimating decay rates, thus guiding future experimental searches for glueballs.

Contribution

It offers the first analysis of $X(2370)$ as a pseudoscalar glueball in $B$ decays, including form factor calculations and decay rate predictions.

Findings

Mass and spin parity consistent with pseudoscalar glueball

Estimated branching fractions for $B$ decays into $X(2370)$ around $10^{-6}$ to $10^{-8}$

Decays are detectable at Belle-II and similar facilities

Abstract

Based on the collected data on $J/\psi\to \gamma K_S^0K_S^0\eta'$, the BESIII experiment has conducted an analysis of the mass and spin parity of the $X(2370)$ particle. The findings are consistent with the characteristics expected of the lightest pseudoscalar glueball. We point out that further exploration of this particle's nature can be pursued through investigations of heavy bottom meson decays. Assuming the identity of $X(2370)$ as a pseudoscalar glueball, we compute the form factors for $B\to X(2370)$ transitions in the factorization approach. With these results, the estimated branching fractions for semileptonic $B$ decays into $X(2370)$ can reach the order of $10^{-6}$ and those for nonleptonic decays can reach the order $10^{-8}$. These results suggest that decays of $B$ meson into $X(2370)$ are detectable at experimental facilities like Belle-II. Future experimental endeavors hold promise in expanding our understanding of glueball physics, contributing to the ongoing exploration surrounding this intriguing particle.