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Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$

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arxiv 1903.11503 v2 pith:W6T5LHM3 submitted 2019-03-27 hep-ph hep-exnucl-th

Feng-Kun Guo , Hao-Jie Jing , Ulf-G. Mei{ss}ner , Shuntaru Sakai This is my paper · ORCID
classification hep-phhep-exnucl-th
keywords breakingconsistenthadronicisospinlhcbmathcalmolecularsigma
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The LHCb Collaboration announced the observation of three narrow structures consistent with hidden-charm pentaquark states. They are candidates of hadronic molecules formed of a pair of a charmed baryon and an anticharmed meson. Among them, the $P_c(4457)$ mass is consistent with earlier predictions of a $\Sigma_c\bar D^*$ molecule with $I=1/2$. We point out that if such a picture were true, one would have $\mathcal{B}(P_c(4457)\to J/\psi \Delta^+)/\mathcal{B}(P_c(4457)\to J/\psi p)$ at the level ranging from a few percent to about 30%. Such a large isospin breaking decay ratio is two to three orders of magnitude larger than that for normal hadron resonances. It is a unique feature of the $\Sigma_c\bar D^*$ molecular model, and can be checked by LHCb.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States

    hep-ph 2019-08 conditional novelty 7.0 of 10

    The paper predicts Pc(4440) has J^P = 3/2- and Pc(4457) has J^P = 1/2+ in a pion-exchange coupled-channel model without short-range terms.

  2. Symmetry Analysis of Compact Tetraquark States and Implications for the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$

    hep-ph 2026-07 unverdicted novelty 5.0 of 10

    Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.

  3. Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures

    hep-ph 2019-08 conditional novelty 4.0 of 10

    Treating Pc(4312), Pc(4440) and Pc(4457) as S-wave hadronic molecules, this paper computes decay widths and argues that spins 1/2^-, 1/2^- and 3/2^- respectively fit the measured widths.

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