从夸克模型角度对$Z^+_c$族的系统研究
Systematic study of $Z^+_c$ family from quark model's perspective
摘要：
受荷电类粲偶素态$Z_c^+$实验现状的启发，在多体约束势的色流管模型中系统地研究了四夸克态$[cu][\bar{c}\bar{d}]$.研究表明，带电类粲偶素态$Z_c^+(3900)$或$Z_c^+(3885)$，$Z_c^+(3930)$，$Z_c^+(4020)$或$Z_c^+(4025)$，$Z_1^+(4050)$，$Z_2^+(4250)$和$Z_c^+(4200)$可以统一地描述为四夸克态$[cu][\bar{c}\bar{d}]$，其量子数分别为$1^{3}S_1$和$1^+$，$2^{3}S_1$和$1^+$，$1^5S_2$和$2^+$，$1^3P_1$和$1^-$，$1^5D_1$和$1^+$，和$1^3D_1$和$1^+$。在模型中，预测的最低电荷四夸克态$[cu][\bar{c}\bar{d}]$具有$0^+$和$1^1S_0$，其能量为$3780\pm10$ MeV。四夸克态是类似于橄榄球的紧凑三维空间构型，双夸克态$[cu]$和反双夸克态$[\bar{c}\bar{d}]$之间的轨道角动量$L$越大，四夸克态就越长。多体色流管作为一种集体自由度，在这些带电四夸克态的形成过程中起着重要的作用。然而，在这个模型方法中，两个较重的带电态$Z^+_c(4430)$和$Z^+_c(4475)$不能被解释为四夸克态$[cu][\bar{c}\bar{d}]$。
英文摘要：
Inspired by the present experimental status of charged charmonium-like states $Z_c^+$, the tetraquark states $[cu][\bar{c}\bar{d}]$ are systematically studied in a color flux-tube model with a multi-body confinement potential. The investigation indicates that charged charmonium-like states $Z_c^+(3900)$ or $Z_c^+(3885)$, $Z_c^+(3930)$, $Z_c^+(4020)$ or $Z_c^+(4025)$, $Z_1^+(4050)$, $Z_2^+(4250)$, and $Z_c^+(4200)$ can be uniformly described as tetraquark states $[cu][\bar{c}\bar{d}]$ with the quantum numbers $n^{2S+1}L_J$ and $J^P$ of $1^{3}S_1$ and $1^+$, $2^{3}S_1$ and $1^+$, $1^5S_2$ and $2^+$, $1^3P_1$ and $1^-$, $1^5D_1$ and $1^+$, and $1^3D_1$ and $1^+$, respectively. The predicted lowest charged tetraquark state $[cu][\bar{c}\bar{d}]$ with $0^+$ and $1^1S_0$ has a energy of $3780\pm10$ MeV in the model. The tetraquark states are compact three-dimensional spatial configurations similar to a rugby ball, the higher orbital angular momentum $L$ between the diquark $[cu]$ and antidiquark $[\bar{c}\bar{d}]$, the more prolate of the states. The multibody color flux-tube, a collective degree of freedom, plays an important role in the formation of those charge tetraquark states. However, the two heavier charged states $Z^+_c(4430)$ and $Z^+_c(4475)$ can not be explained as tetraquark states $[cu][\bar{c}\bar{d}]$ in this model approach.
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