Journal Article

PUBDB-2025-05697

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Strong decays of ${P}_{\psi }^{N}{\left({444}0\right)}^{+}$ and ${P}_{\psi }^{N}{\left({4457}\right)}^{+}$ within the Bethe-Salpeter framework

Li, Q. (Corresponding author) ; Chang, C.-H. ; Tong, X. ; Tan, X.DESY* ; Wang, T. ; Wang, G.-L.

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP10(2025)098

Report No.: arXiv:2503.08440

Abstract: By combining the effective Lagrangian and Bethe-Salpeter framework, we studied the mass spectra, wave functions, and strong decay widths of the two pentaquark states ${P}_{\psi }^{N}{\left({444}0\right)}^{+}$ and ${P}_{\psi }^{N}{\left({4457}\right)}^{+}$ reported by LHCb in 2019. Taking into account both the mass ordering and the decay widths, our results favor the interpretation of ${P}_{\psi }^{N}{\left({444}0\right)}^{+}$ and ${P}_{\psi }^{N}{\left({4457}\right)}^{+}$ as the isospin-$\frac{1}{2}\left[{\overline{D} }^{*}{\Sigma}_{c}\right]$ molecular states with J$^{P}$ configuration ${\left(\frac{3}{2}\right)}^{-}$ and ${\left(\frac{1}{2}\right)}^{-}$, respectively. We first calculate the one-boson-exchange interaction kernel of $\left[{\overline{D} }^{*}{\Sigma}_{c}\right]$ in the isospin-$\frac{1}{2}$ configuration. Then we present the Bethe-Salpeter equation (BSE) and wave functions for the bound states of a vector meson and a $\frac{1}{2}$ baryon with ${J}^{P}=\frac{1}{2}^{-}$ and $\frac{3}{2}^{-}$. The obtained mass results for the ${\left(\frac{3}{2}\right)}^{-}$ and ${\left(\frac{1}{2}\right)}^{-}$ are 4.442 and 4.457 GeV, respectively. Combining the effective Lagrangians and the BS wave functions, we further calculate the strong decay channels ${\overline{D} }^{(*)0}{\Lambda}_{c}^{+}$, J/ψ(η$_{c}$)p, and $\overline{D}{\Sigma }_{c}^{(*)}$ for the two ${P}_{\psi }^{N}$ states. In the favored $\frac{3}{2}^{-}$ and $\frac{1}{2}^{-}$ configuration, the obtained total widths are 21.8 MeV and 13.0 MeV, respectively, which are substantially consistent with the LHCb data. Our results suggest that ${\overline{D} }^{0}{\Lambda}_{c}^{+}$ and ${\overline{D} }^{(*)0}{\Lambda}_{c}^{+}$ are the dominant decay channels to detect ${P}_{\psi }^{N}{\left({444}0\right)}^{+}$ and ${P}_{\psi }^{N}{\left({4457}\right)}^{+}$, respectively.

Keyword(s): Properties of Hadrons ; Chiral Lagrangian ; Hadronic Spectroscopy ; Structure and Interactions ; Specific QCD Phenomenology

Note: JHEP 10 (2025) 098. 54 pages, 6 figures, 8 tables. Accepted by JHEP

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Li, Q. (Corresponding author) ; Chang, C.-H. ; Tong, X. ; Tan, X.DESY* ; Wang, T. ; Wang, G.-L.
Strong decays of $P_{\psi}^N(4440)^+$ and $P_\psi^N(4457)^+$ within the Bethe-Salpeter framework
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