Abstract

Recently, a new hidden-charm pentaquark state P_{cs}(4459) was reported by the LHCb Collaboration. Stimulated by the fact that all hidden-charm pentaquark states in S=0 systems were successfully studied by the chiral quark model, we extended this study to the S=-1 systems. All possible states with quantum numbers IJ^P=0(frac{1}{2})^-, 0(frac{3}{2})^-, 0(frac{5}{2})^-, 1(frac{1}{2})^-, 1(frac{3}{2})^- and 1(frac{5}{2})^- have been investigated. The calculation results shows that the newly observed state P_{cs}(4459) can be explained as Xi _c bar{D}^* molecular state and the quantum numbers are 0(frac{1}{2})^-. In addition, we also find other molecular states Xi _c bar{D}, Xi _c^* bar{D} and Xi _c' bar{D}^*. It is worth mentioning that Xi _c bar{D}^* can form a two-peak structure from states in system 0(frac{1}{2})^- and 0(frac{3}{2})^-. The decay width of all molecular states is given with the help of real scaling method. These hidden-charm pentaquark states is expected to be further verified in future experiments.

Highlights

  • Pcs(4459) was reported by the LHCb Collaboration

  • The decay width of all molecular states is given with the help of real scaling method

  • In 2019, the LHCb Collaboration reanalysed the same process with more data and updated their results, which shows that Pc+(4450) can split into two structures, Pc+(4440) and Pc+(4457), while Pc+(4312) is identified as a new structure [4]. These Pc+ states all have a common feature that a e-mail: jlping@njnu.edu.cn they are very close to baryon-meson thresholds, which led to one of the most popular interpretation of these Pc+ states as molecular states [5,6,7,8,9,10,11]

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Summary

Introduction

The LHCb Collaboration reported a new pentaquark state with strangeness, Pc+s (4459) in the J/ψ invariant mass spectrum of decay channel b → J ψ K − [15]. There are many theoretical work on Pcs state before the experiment [25,26,27,28]. Since the quark model was proposed by Gell-Mann and Zweig in 1964 respectively [33,34], it has become the most common approach to study the multiquark system as it evolves. The GEM is very suitable for the calculation of few-body systems Within this method, the orbital wave functions of all relative motions of the systems are expanded by gaussians. With the help of “real scaling method”, we can confirm the genuine five-quark resonances and their respective decay widths along. 3, we present the method of finding and calculating the decay width of the genuine resonance state (“real scaling method”), and we show the results with analysis and discussion of Pcs structure. We give a brief summary of this work in the last section

Chiral quark model and wave functions
Results and discussions
Tables and
Summary
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