Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Search for hidden-charm pentaquark states in three-body final states   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
$\bar{D}^{(\ast)}\Sigma_{c}$ hadronic molecules. Together with their four
$\bar{D}^{(*)}\Sigma_{c}^{\ast}$ partners dictated by heavy quark spin symmetry
they present a complete multiplet of hadronic molecules of
$\bar{D}^{(\ast)}\Sigma_{c}^{(\ast)}$. 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
$\bar{D}^{(\ast)}\Sigma_{c}^{(\ast)}$ molecules. The tree-level modes proceed
via off-shell $\Sigma_{c}^{(\ast)}$ baryons,
$\bar{D}^{(\ast)}\Sigma_{c}^{(\ast)} \to
\bar{D}^{(\ast)}\left(\Sigma_{c}^{(\ast)}\to
\Lambda_{c}\pi\right)\to\bar{D}^{(\ast)}\Lambda_{c}\pi$, while the
triangle-loop modes proceed through $\bar{D}^{\ast}\Sigma_{c}^{(\ast)}\to
J/\psi N\pi$, $\eta_{c}N\pi$ via $\bar{D}\Sigma_{c}^{(\ast)}$ rescattering to
$J/\psi N$ and $\eta_{c}N$. Our results indicate that the decay widths of the
$P_{c}(4457)$ and $\bar{D}^{(\ast)}\Sigma_{c}^{\ast}$ states into
$\bar{D}^{(\ast)}\Lambda_{c}\pi$ are several MeV, as a result can be observed
in the upcoming Run 3 and Run 4 of LHC. The partial decay widths into
$\bar{D}^{(\ast)}\Lambda_{c}\pi$ of the $P_{c}(4312)$ and $P_{c}(4440)$ states
range from tens to hundreds of keV. In addition, the partial decay widths of
$\bar{D}^{\ast}\Sigma_{c}$ molecules into $J/\psi N \pi$ and $\eta_c N \pi$ are
several keV and tens of keV, respectively, and the partial decay widths of
$\bar{D}^{\ast}\Sigma_{c}^{\ast}$ molecules into $J/\psi N \pi$ 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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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin