Abstract:We systematically investigate the mass spectrum, spatial configuration and magnetic moment of the ground and p-wave states $[cu][\bar{c}\bar{s}]$ with various color-spin configurations in a multiquark color flux-tube model. Numerical results indicate that the state $Z_{cs}(4000)^+$ can be described as the compact state $[cu][\bar{c}\bar{s}]$ with $1^3\!S_1$. Its main color-spin configuration is $[cu]^{1}_{\boldsymbol{6}_c} [\bar{c}\bar{s}]^{1}_{\bar{\boldsymbol{6}}_c}$ and its magnetic moment is 0.73$\mu_{\scriptscriptstyle{N}}$. The state $Z_{cs}(4220)^+$ can be depicted as the compact state $[cu][\bar{c}\bar{s}]$ with $1^1\!P_1$ (or $1^3\!P_1$). Its main color-spin configuration is $[cu]^{0}_{\bar{\boldsymbol{3}}_c}[\bar{c}\bar{s}]^{0}_{\boldsymbol{3}_c}$ (or $[cu]^{0}_{\bar{\boldsymbol{3}}_c}[\bar{c}\bar{s}]^{1}_{\boldsymbol{3}_c}$) and its magnetic moment is 0.12$\mu_{\scriptscriptstyle{N}}$ (or 0.64$\mu_{\scriptscriptstyle{N}}$). The physical state should be the mixture of these two different color-spin configurations and deserves further investigation. In addition, we also predict the properties of the states $[cu][\bar{c}\bar{s}]$ with other quantum numbers in the model.
. [J]. 中国物理快报, 2023, 40(2): 21201-.
Yi-Heng Wang, Jia Wei, Chun-Sheng An, and Cheng-Rong Deng. $Z_{cs}(4000)^+$ and $Z_{cs}(4220)^+$ in a Multiquark Color Flux-Tube Model. Chin. Phys. Lett., 2023, 40(2): 21201-.