arXiv 2108.040172021-08-09hep-ph

所有粲四夸克态的光谱

Spectroscopy of all charm tetraquark states

Rohit Tiwari, D P Rathaud, A K Rai

备注：: 19 pages
DOI：: 10.1007/s12648-022-02427-8

摘要：

研究了具有[cc][ $\bar{c}\bar{c}$ ]夸克组态的全粲四夸克态的质量谱.库仑加线性势与相对论质量修正项$\mathcal{O}(\frac{1}{m})$一起使用。为了确定全粲四夸克态[cc][ $\bar{c}\bar{c}$ ]的拟合参数，我们首先计算了charmonia [$\bar{c}$ ]的质谱及其衰变常数（$f^{2}_{P/V}$）.我们估计了四夸克态在基态和径向激发态的质量。对于四夸克态的质谱，我们还包括自旋-自旋、自旋-轨道和张量相互作用。在这项研究中产生的charmonia的质谱与其他人的实验和理论预测相当一致，而四夸克态的质谱与以前的理论预测一致。我们提出最近由LHCb探测到的X（6900）态的量子数为$0^{-+}$，$1^{-+}$，$2^{-+}$，属于全室四夸克态的P波.

英文摘要：

The mass spectra of all-charm tetraquark states with the [cc][$\bar{c}\bar{c}$] quark configuration are investigated. The coulomb plus linear potential is used in conjunction with the relativistic mass correction term $\mathcal{O}(\frac{1}{m})$. To determine the fitting parameters for all-charm tetraquarks states [cc][$\bar{c}\bar{c}$], we first calculate the mass spectra of charmonia [c$\bar{c}$] and its decay constants ($f^{2}_{P/V}$). We estimated the masses of the tetraquark states in their ground and radially excited states. For mass spectra of tetraquark states, we also included spin-spin, spin-orbital, and tensor interactions. The mass spectra of charmonia produced in this study are reasonably consistent with experimental and theoretical predictions made by others, whilst the mass spectra of the tetraquark states are consistent with previous theoretical predictions. We propose that the X(6900) state, which has a mass range of 6.2 - 6.9 GeV and was recently detected by LHCb, has the quantum numbers $0^{-+}$, $1^{-+}$, $2^{-+}$ and belongs to the P-wave of the all-cham tetraquark state.

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