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arXiv · 1904.00851

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

Zhi-Hui Guo·J. A. Oller
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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 $Σ_c\bar{D}$ and $Σ_c\bar{D}^*$ 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 $J/ψp,\,Σ_c\bar{D}$ channels and the pentaquark candidate $P_c(4312)$, with which we further estimate the probabilities of finding the $J/ψp$ and $Σ_c\bar{D}$ 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 $J/ψp$ and $Σ_c\bar{D}^*$ channels. Similar studies are also carried out for the three $P_c$ states by including the $Λ_c\bar{D}^{*}$ and $Σ_c\bar{D}^{(*)}$ channels.

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Zhi-Hui Guo, J. A. Oller. 2019-04-30. Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. https://doi.org/10.1016/j.physletb.2019.04.053

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