论文标题

在三体最终状态中搜索隐藏的五角夸克州

Search for hidden-charm pentaquark states in three-body final states

论文作者

Xie, Jia-Ming, Ling, Xi-Zhe, Liu, Ming-Zhu, Geng, Li-Sheng

论文摘要

由LHCB合作在2019年发现的三个Pentaquark国家,$ P_C(4312)$,$ P_C(4440)$和$ P_C(4457)$,被广泛认为是$ \ bar {d}^{(\ ast)} n {(\ ast)}σ_{c} c} $ hadronic molecules。连同他们的四个$ \ bar {d}^{(*)}σ_{c}^{\ ast} $ partners由重夸克旋转对称性决定,它们提供了$ \ bar {d}^}^{(\ ast)} = _ {c} c}^{c = =^=^= {{(\ ast)的完整多重的HADRONIC分子。人们普遍认为,要了解其本性,其他发现渠道起着重要作用。在这项工作中,我们研究了$ \ bar {d}^{(\ ast)}σ_{c}^{(\ ast)} $ Molecules的两个三体衰减模式。树级模式通过off-shell $σ_{c}^{(\ ast)} $ baryons,$ \ bar {d}^{(\ ast)}σ_{c}^{c}^{(\ ast)} \ to \ bar {d}^{(\ ast)} \ left(σ_{c}^{(\ ast)} \toλ_{c}π\ right)\ to \ bar {d}^}^{(\ ast)}^{(\ ast)}λ_____________________ $ \ bar {d}^{\ ast}σ_{c}^{(\ ast)} \ to j/ψnπ$,$η_{c}nπ$通过$ \ bar {d}σ_{c}} {我们的结果表明,$ p_ {c}(4457)$和$ \ bar {d}^{(\ ast)}σ_{c}^{\ ast} $ station in $ p_ {d}^{(\ ast)} $ stati 3并运行4个LHC。部分衰减宽度为$ \ bar {d}^{(\ ast)}λ_{c}π$的$ p_ {c}(4312)$和$ p_ {c}(44440)$范围从数十大到数百kev。此外,$ \ bar {d}^{\ ast}σ_{c} $分子的部分衰减宽度分别为$ j/ψnπ$和$η_cnπ$,分别是几个kev和数十keV,并且是二十个kev,并且是部分衰减的宽度。 $ \ bar {d}^{\ ast}σ_{c}^{\ ast} $分子到$ j/ψnπ$中,从几个keV到数十几个kev。五夸克国家的这些三体衰减模式对于进一步观察五特夸夸省和对其性质有更好的理解至关重要。

The three pentaquark states, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$, discovered by the LHCb Collaboration in 2019, are widely recognized as $\bar{D}^{(\ast)}Σ_{c}$ hadronic molecules. Together with their four $\bar{D}^{(*)}Σ_{c}^{\ast}$ partners dictated by heavy quark spin symmetry they present a complete multiplet of hadronic molecules of $\bar{D}^{(\ast)}Σ_{c}^{(\ast)}$. It is widely recognized that to understand their nature, other discovery channels play an important role. In this work, we investigate two three-body decay modes of the $\bar{D}^{(\ast)}Σ_{c}^{(\ast)}$ molecules. The tree-level modes proceed via off-shell $Σ_{c}^{(\ast)}$ baryons, $\bar{D}^{(\ast)}Σ_{c}^{(\ast)} \to \bar{D}^{(\ast)}\left(Σ_{c}^{(\ast)}\to Λ_{c}π\right)\to\bar{D}^{(\ast)}Λ_{c}π$, while the triangle-loop modes proceed through $\bar{D}^{\ast}Σ_{c}^{(\ast)}\to J/ψNπ$, $η_{c}Nπ$ via $\bar{D}Σ_{c}^{(\ast)}$ rescattering to $J/ψN$ and $η_{c}N$. Our results indicate that the decay widths of the $P_{c}(4457)$ and $\bar{D}^{(\ast)}Σ_{c}^{\ast}$ states into $\bar{D}^{(\ast)}Λ_{c}π$ are several MeV, as a result can be observed in the upcoming Run 3 and Run 4 of LHC. The partial decay widths into $\bar{D}^{(\ast)}Λ_{c}π$ of the $P_{c}(4312)$ and $P_{c}(4440)$ states range from tens to hundreds of keV. In addition, the partial decay widths of $\bar{D}^{\ast}Σ_{c}$ molecules into $J/ψN π$ and $η_c N π$ are several keV and tens of keV, respectively, and the partial decay widths of $\bar{D}^{\ast}Σ_{c}^{\ast}$ molecules into $J/ψN π$ vary from several keV to tens of keV. These three-body decay modes of the pentaquark states are of great value to further observations of the pentaquark states and to a better understanding of their nature.

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