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

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 $D_s{\bar{D}}_s/D^{\ast }{\bar{D}}^{\ast }/D_s^{\ast }{\bar{D}}_s^{\ast }$ 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 $D^{\ast }{\bar{D}}^{\ast }$ system plays an important role in the formation of the newly observed $X(3960)$ as a charmoniumlike resonance, and the $D_s^{\ast }{\bar{D}}_s^{\ast }$ system makes a significant contribution to the resonant width. As a byproduct, we perform a coupled channel analysis on the $D^{\ast }{\bar{D}}^{\ast }/D_s{\bar{D}}_s^{\ast }/D_s^{\ast }{\bar{D}}_s^{\ast }$ interactions with $I(J^{PC})=0(1^{+-})$, our results can predict the existence of the $D_s{\bar{D}}_s^{\ast }$ molecule with $1^{+-}$ and the $D_s^{\ast }{\bar{D}}_s^{\ast }$ 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.

Comments: 7 pages, 5 figures, Physics Letters B846, 138254