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arXiv 2102.02607hep-ph
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$P_{cs} (4459)$及其重夸克自旋伙伴的分子性质

Molecular nature of $P_{cs} (4459)$ and its heavy quark spin partners

C. W. Xiao, J. J. Wu, B. S. Zou

摘要:

受最近LHCb观测到的$P_{cs} (4459)$态的启发,我们利用耦合道么正方法,结合重夸克自旋和局域隐规范对称性,重新研究了$J/ψΛ$道与其耦合道相互作用的结果.通过调节唯一的自由参数,我们发现了一个低于$\bar D^* Ξ_c$阈值的$(4459.07+i6.89)$ MeV的极点,这与$P_{cs} (4459)$态的质量和宽度是一致的。因此,我们假设$P_{cs} (4459)$态是一个$\bar D^* Ξ_c$束缚态,它与$J^P = \frac{1}{2}^-$和$J^P = \frac{3}{2}^-$的简并度存在不确定性。对于简并,它将具有两极结构,如以前的$P_c (4450)$。在$J^P = \frac{1}{2}^-$扇区中存在另一个极点,$(4310.53+i8.23)$ MeV,对应于$\bar D Ξ_c$的深束缚态。此外,先前预测的$\bar D Ξ'_c$、$\bar D^* Ξ'_c$、$\bar D^* Ξ^*_c$与$J=1/2,~I=0$以及$\bar D^* Ξ'_c$、$\bar D Ξ^*_c$、$\bar D^* Ξ_c^*$与$J=3/2,~I=0$的松散结合状态可以作为结合状态或未结合虚拟状态存在。我们希望未来的实验能够在$\bar D^{(*)}_s Λ_c$的主要衰变通道中寻找$\bar D^{(*)} Ξ_c$分子态,以及在$J/ψΛ$和$η_c Λ$通道中寻找它们的不同性质。

英文摘要:

Inspired by the observation of the $P_{cs} (4459)$ state by LHCb recently, we reexamine the results of the interaction of the $J/ψΛ$ channel with its coupled channels, exploiting the coupled channel unitary approach combined with heavy quark spin and local hidden gauge symmetries. By tuning the only free parameter, we find a pole of $(4459.07+i6.89)$ MeV below the $\bar D^* Ξ_c$ threshold, which was consistent well with the mass and width of the $P_{cs} (4459)$ state. Thus, we assume the $P_{cs} (4459)$ state to be a $\bar D^* Ξ_c$ bound state with the uncertainties on its degeneracy with $J^P = \frac{1}{2}^-$ and $J^P = \frac{3}{2}^-$. For the degeneracy, it would have two-poles structure, like $P_c (4450)$ before. There is another pole in the $J^P = \frac{1}{2}^-$ sector, $(4310.53+i8.23)$ MeV, corresponding to a deep bound state of $\bar D Ξ_c$. Furthermore, the previously predicted loose bound states of $\bar D Ξ'_c$, $\bar D^* Ξ'_c$, $\bar D^* Ξ^*_c$ with $J=1/2,~I=0$ and $\bar D^* Ξ'_c$, $\bar D Ξ^*_c$, $\bar D^* Ξ_c^*$ with $J=3/2,~I=0$ may exist as either bound states or unbound virtual states. We hope that future experiments can search for the $\bar D^{(*)} Ξ_c$ molecular states in their dominant decay channels of $\bar D^{(*)}_s Λ_c$, also in the $J/ψΛ$ and $η_c Λ$ channels to reveal their different nature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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