The explanation of some exotic states in the $cs\bar{c}\bar{s}$ tetraquark system

Abstract

Inspired by the recent observation of ${\chi }_{c0}(3930)$, $X(4685)$ and $X(4630)$ by the LHCb Collaboration and some exotic resonances such as $X(4350)$, $X(4500)$, etc. by several experiment collaborations, the $cs\bar{c}\bar{s}$ tetraquark systems with $I{J}^P=00^{+}$, $01^{+}$ and $02^{+}$ are systematically investigated in the framework of the quark delocalization color screening model(QDCSM). Two structures, the meson-meson and diquark-antidiquark structures, as well as the channel-coupling of all channels of these two configurations are considered in this work. The numerical results indicate that the molecular bound state ${\bar{D}}_s{D}_s$ with $I{J}^P=00^{+}$ can be supposed to explain the ${\chi }_{c0}(3930)$. Besides, by using the stabilization method, several resonant states are obtained. There are four $I{J}^P=00^{+}$ states around the resonance mass 4035 MeV, 4385 MeV, 4524 MeV, and 4632 MeV, respectively; one $I{J}^P=01^{+}$ state around the resonance mass 4327 MeV; and two $I{J}^P=02^{+}$ states around the resonance mass 4419 MeV and 4526 MeV, respectively. All of them are compact tetraquarks. Among these states, $X(4350)$, $X(4500)$ and $X(4700)$ can be explained as the compact tetraquark state with $I{J}^P=00^{+}$, and the $X(4274)$ is possible to be a candidate of the compact tetraquark state with $I{J}^P=01^{+}$. More experimental tests are expected to check the existence of all these possible resonance states.

Comments: 10 pages, 3 figures