# The analysis of the charmonium-like states $X^{*}(3860)$,$X(3872)$, $X(3915)$, $X(3930)$ and $X(3940)$ according to its strong decay behaviors

## TL;DR

This paper investigates the strong decay behaviors of several charmonium-like states using the $^{3}P_{0}$ model, proposing possible assignments for their quantum numbers and questioning the pure charmonium nature of some states.

## Contribution

It provides a systematic analysis of the decay behaviors of these states, suggesting specific quantum number assignments and highlighting potential non-pure charmonium characteristics.

## Key findings

- $X^{*}(3860)$ as a $0^{++}$ charmonium candidate
- $X(3872)$ as a $1^{++}$ state
- $X(3915)$ and $X(3930)$ may be the same $2^{++}$ state

## Abstract

Inspired by the newly observed state $X^{*}(3860)$, we analyze the strong decay behaviors of some charmonium-like states $X^{*}(3860)$,$X(3872)$, $X(3915)$, $X(3930)$ and $X(3940)$ by the $^{3}P_{0}$ model. We carry out our work based on the hypothesis that these states are all being the charmonium systems. Our analysis indicates that $0^{++}$ charmonium state can be a good candidate for $X^{*}(3860)$ and $1^{++}$ state is the possible assignment for $X(3872)$. Considering as the $3^{1}S_{0}$ state, the decay behavior of $X(3940)$ is inconsistent with the experimental data. So, we can not assign $X(3940)$ as the $3^{1}S_{0}$ charmonium state by present work. Besides, our analysis imply that it is reasonable to assign $X(3915)$ and $X(3930)$ to be the same state, $2^{++}$. However, combining our analysis with that of Zhou~\cite{ZhouZY}, we speculate that $X(3915)$/$X(3930)$ might not be a pure $c\overline{c}$ systems.