论文标题

$ s $ - 充满迷人的Tetraquark共鸣状态

$S$-wave fully charmed tetraquark resonant states

论文作者

Wang, Guang-Juan, Meng, Qi, Oka, Makoto

论文摘要

我们计算了$ s $波的质谱,在非递归夸克模型中,$ cc \ bar c \ bar c $完全融合的四夸克共振态,该夸克模型成功地描述了charmonium spectrum。使用高斯扩展方法解决了四体系统。复杂的缩放技术用于识别真正的共振。借助非同性夸克模型,我们的结果表明,在$ j^{pc} = $ j^{pc} = $ $ 0^{++} $,$ 1^{+ - } $和$ 2^{++} $ sectors中存在两个$ cc \ bar c \ bar c \ bar c $共振。在$ s $波浪行业中,在$ x(6200)$和$ x(6600)$状态的能源区域中未发现共鸣。 $ 0^{++} $和$ 2^{++} $共振的位置约为$ 100 $ MEV,比实验中观察到的$ x(6900)$状态高,但具有与实验一致的衰减宽度。更高的$ 0^{++} $和$ 2^{++} $共振的含量约为$ 7.2 $ GEV,宽度为$ 60.6 $ MEV和$ 91.2 $ MEV,它们可能是$ x(7200)$ state的好候选人。

We calculate the mass spectrum of the $S$-wave fully-charmed tetraquark resonant states $cc\bar c\bar c $ in the nonrelativistic quark model, which successfully describes the charmonium spectrum. The four-body system is solved with the Gaussian expansion method. The complex scaling technique is used to identify the genuine resonances. With the nonrelativistic quark model, our results show the existence of two $cc\bar c\bar c$ resonances in each of the $J^{PC}=$ $0^{++}$, $1^{+-}$ and $2^{++}$ sectors, respectively. In the $S$-wave sector, no resonance is found at the energy region of the $X(6200)$ and $X(6600)$ states. The lower $0^{++}$ and $2^{++}$ resonances are located around $100$ MeV higher than the $X(6900)$ state observed in experiments but have the decay widths consistent with the experiment. The higher $0^{++}$ and $2^{++}$ resonances are found at around $7.2$ GeV with the widths of $60.6$ MeV and $91.2$ MeV, respectively, and they may be good candidates for the $X(7200)$ state.

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