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

Guo, Zhi-Hui  (Department of Physics, Hebei Advanced Thin Films Laboratory, Hebei Normal University, Shijiazhuang, 050024, China) ; Oller, J.A. (Departamento de Física, Universidad de Murcia, Murcia, E-30071, Spain)

02 May 2019

Abstract: We study the newly reported hidden-charm pentaquark candidates Pc(4312) , Pc(4440) and Pc(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 ΣcD¯ and ΣcD¯⁎ scattering are calculated by using the experimental results of the masses and widths of the Pc(4312) , Pc(4440) and Pc(4457) . Then we calculate the couplings between the J/ψp,ΣcD¯ channels and the pentaquark candidate Pc(4312) , with which we further estimate the probabilities of finding the J/ψp and ΣcD¯ components inside Pc(4312) . The partial decay widths and compositeness coefficients are calculated for the Pc(4440) and Pc(4457) states by including the J/ψp and ΣcD¯⁎ channels. Similar studies are also carried out for the three Pc states by including the ΛcD¯⁎ and ΣcD¯(⁎) channels.

Published in: Physics letters B (2019)