Charmoniumlike resonant explanation on the newly observed $X(3960)$

TL;DR

This paper investigates the nature of the newly observed $X(3960)$ resonance, proposing it as a charmoniumlike state formed through meson interactions modeled by one-boson exchange, and predicts related molecular states.

Contribution

It introduces a coupled channel analysis considering $S-D$ wave mixing and demonstrates the resonance's compatibility with experimental data, proposing new molecular states for future experimental verification.

Findings

A charmoniumlike resonance matching $X(3960)$ properties is predicted.

The $D^*ar{D}^*$ system is crucial for the resonance formation.

Two additional molecular states with $1^{+-}$ are predicted.

Abstract

Stimulated by the observation of the newly $X(3960)$ observed by the LHCb collaboration, we adopt the one-boson-exchange model and consider the $S-D$ wave mixing effects to study the $D_s\bar{D}_s/D^*\bar{D}^*/D_s^*\bar{D}_s^*$ interactions with $I(J^{PC})=0(0^{++})$. After producing the phase shifts of this coupled channel systems, our results show that there can exist a charmoniumlike resonance, whose obtained mass and width can both well match with the experimental data of the newly observed $X(3960)$. We also find that the $D^*\bar{D}^*$ system plays an important role in the formation of the newly observed $X(3960)$ as a charmoniumlike resonance, and the $D_s^*\bar{D}_s^*$ system makes a significant contribution to the resonant width. As a byproduct, we perform a coupled channel analysis on the $D^*\bar{D}^*/D_s\bar{D}_s^*/D_s^*\bar{D}_s^*$ interactions with $I(J^{PC})=0(1^{+-})$, our results can predict the existence of the $D_s\bar{D}_s^*$ molecule with $1^{+-}$ and the $D_s^*\bar{D}_s^*$ molecule with $1^{+-}$. Their widths are around several and several to several tens MeV, respectively. Experimental searches for these two possible charmoniumlike molecular candidates can be helpful to verify our proposal.