Abstract
Stimulated by the state $Y(4626)$ recently reported by Belle Collaboration, we utilize a multiquark color flux-tube model with a multibody confinement potential and one-glue-exchange interaction to make an exhaustive investigation on the diquark-antidiquark state $[cs][\bar{c}\bar{s}]$. Numerical results indicate that the appearance of the states $[cs][\bar{c}\bar{s}]$ like a dumb-bell, the larger the orbital excitation $L$, the more distinguished the shape. The mixing of the color configurations $\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$ and $\left[[cs]_{\mathbf{6}_c}[\bar{c}\bar{s}]_{\bar{\mathbf{6}}_c}\right]_{\mathbf{1}}$ in the ground states is strong while the color configuration $\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$ is absolutely predominant in the excited states. The main component of the state $Y(4626)$ can be interpreted as a $P$-wave state $[cs][\bar{c}\bar{s}]$. Its hidden-bottom partner is predicted in the model calculation. The states $X(4140)$, $X(4274)$, $X(4350)$, $X(4500)$ and $X(4700)$ are also discussed.
Highlights
The past decade or so has witnessed the great prosperity of the development of hadron physics
Stimulated by the state Yð4626Þ recently reported by the Belle Collaboration, we utilize a multiquark color flux-tube model with a multibody confinement potential and one-gluon-exchange interaction to make an exhaustive investigation on the diquark-antidiquark state 1⁄2cs1⁄2cs
The phenomenon of the stable mass difference between two adjacent states can be understood from the spatial distance shown in Table IV, which is mainly determined by the orbital excitation L but slightly influenced by the total spin S
Summary
The past decade or so has witnessed the great prosperity of the development of hadron physics. Inspired by the states Xð4140Þ, Xð4274Þ, Xð4500Þ, Xð4700Þ, and Yð4140Þ, the tetraquark state cscs ̄ was systematically researched in various theoretical frameworks, such as simple color-magnetic interaction models [8,9], the QCD sum rule [10,11,12], nonrelativistic and relativistic quark models [13,14], the diquark model [15], and lattice QCD [16]. QCD picture and the traditional quark models has been developed to study multiquark states, in which the multibody confinement potential is a dynamical mechanism in the formation and decay of the multiquark states [18].
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