Strong decays of the $X(2500)$ newly observed by the BESIII Collaboration

TL;DR

This paper investigates the nature of the newly observed $X(2500)$ meson by analyzing its strong decay properties, suggesting it is likely a $5^1S_0$ $sar{s}$ state based on decay width calculations.

Contribution

The study provides the first detailed decay width analysis of the $X(2500)$ as a potential $sar{s}$ state using the $^3P_0$ decay model, proposing its identification as a $5^1S_0$ state.

Findings

Predicted decay width for $4^1S_0$ $sar{s}$ is about 894.5 MeV.

Predicted decay width for $5^1S_0$ $sar{s}$ is about 271.1 MeV.

Experimental decay width of $X(2500)$ is consistent with the $5^1S_0$ $sar{s}$ interpretation.

Abstract

Basing on the observation of a new $J^{PC}=0^{-+}$ state, $X(2500)$, in the partial wave analysis of the decay $J/\psi\rightarrow\gamma X\rightarrow \gamma\phi\phi$ performed by the BESIII Collaboration, we have evaluated the strong decays of the $X(2500)$ as the $4^1S_0$ and $5^1S_0$ $s\bar{s}$ states in the $^3P_0$ meson decay model. The predicted total decay width for the $4^1S_0$ $s\bar{s}$ is about 894.5 MeV, and the one for the $5^1S_0$ $s\bar{s}$ is about 271.1 MeV, which is in agreement with the experimental data $\Gamma_{X(2500)}=230^{+64+56}_{-35-33}$ MeV. By considering the mass and the total strong decay width of the $X(2500)$, we propose that the $X(2500)$ state can be interpreted as a candidate of the $5^1S_0$ $s\bar{s}$ state.