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- Title
Search for hidden-charm pentaquark states in three-body final states.
- Authors
Xie, Jia-Ming; Ling, Xi-Zhe; Liu, Ming-Zhu; Geng, Li-Sheng
- Abstract
The three pentaquark states, P c (4312) , P c (4440) and P c (4457) , discovered by the LHCb Collaboration in 2019, are often interpreted as D ¯ (∗) Σ c molecules. Together with their four D ¯ (∗) Σ c ∗ partners dictated by heavy quark spin symmetry they represent a complete multiplet of hadronic molecules of D ¯ (∗) Σ c (∗) . The pentaquark states were observed in the J / ψ p invariant mass distributions of the Λ b → J / ψ p K decay. 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 D ¯ (∗) Σ c (∗) molecules. The tree-level modes proceed via off-shell Σ c (∗) baryons, D ¯ (∗) Σ c (∗) → D ¯ (∗) Σ c (∗) → Λ c π → D ¯ (∗) Λ c π , while the triangle-loop modes proceed through D ¯ ∗ Σ c (∗) → J / ψ N π , η c N π via D ¯ Σ c (∗) rescattering to J / ψ N and η c N . Our results indicate that the decay widths of the P c (4457) and D ¯ (∗) Σ c ∗ states into D ¯ (∗) 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 D ¯ (∗) 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 D ¯ ∗ Σ c molecules into J / ψ N π and η c N π are several keV and tens of keV, respectively, and the partial decay widths of D ¯ ∗ Σ c ∗ molecules into J / ψ N π vary from several keV to tens of keV. In particular, we show that the spin-5/2 D ¯ ∗ Σ c ∗ state can be searched for in the J / ψ N π and D ¯ ∗ Λ c π invariant mass distributions, while the latter one is more favorable. 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.
- Publication
European Physical Journal C -- Particles & Fields, 2022, Vol 82, Issue 11, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-022-11026-0