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

Feng-Kun Guo1,2,*, Hao-Jie Jing1,2,†, Ulf-G. Meißner3,4,5,‡, and Shuntaro Sakai1,§

  • 1CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 2School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 4Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 5Tbilisi State University, 0186 Tbilisi, Georgia

  • *fkguo@itp.ac.cn
  • jinghaojie@itp.ac.cn
  • meissner@hiskp.uni-bonn.de
  • §shsakai@itp.ac.cn

Phys. Rev. D 99, 091501(R) – Published 7 May, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.091501

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 Pc(4457) mass is consistent with earlier predictions of a ΣcD¯* molecule with I=1/2. We point out that if such a picture were true, one would have B(Pc(4457)J/ψΔ+)/B(Pc(4457)J/ψp) 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 ΣcD¯* molecular model, and can be checked by LHCb.

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