Anatomy of the newly observed hidden-charm pentaquark states: P(4312), P(4440) and P(4457)

By Zhi-Hui Guo, J. A. Oller. Physics Letters B, 2019

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Abstract We study the newly reported hidden-charm pentaquark candidates P c ( 4312 ) , P c ( 4440 ) and P c ( 4457 ) from the LHCb Collaboration, in the framework of the effective-range expansion and resonance compositeness relations. The scattering lengths and effective ranges from the S-wave Σ c D ¯ and Σ c D ¯ ⁎ scattering are calculated by using the experimental results of the masses and widths of the P c ( 4312 ) , P c ( 4440 ) and P c ( 4457 ) . Then we calculate the couplings between the J / ψ p , Σ c D ¯ channels and the pentaquark candidate P c ( 4312 ) , with which we further estimate the probabilities of finding the J / ψ p and Σ c D ¯ components inside P c ( 4312 ) . The partial decay widths and compositeness coefficients are calculated for the P c ( 4440 ) and P c ( 4457 ) states by including the J / ψ p and Σ c D ¯ ⁎ channels. Similar studies are also carried out for the three P c states by including the Λ c D ¯ ⁎ and Σ c D ¯ ( ⁎ ) channels.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6f2a3e0c0515366507035bd1d762a810077344bb