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arXiv · 2210.08555

First observation of the hidden-charm pentaquarks on lattice

Hanyang Xing·Jian Liang·Liuming Liu·Peng Sun·Yi-Bo Yang
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Abstract

The s-wave scattering of $Σ_c \bar{D}$ and $Σ_c \bar{D}^*$ in the $I(J^P) = \frac{1}{2}(\frac{1}{2}^-)$ channel is calculated in lattice QCD using two ensembles with different volumes but the same lattice spacing $a\sim 0.08\mathrm{fm}$ and pion mass $M_π\sim 294\mathrm{MeV}$. The scattering amplitudes near threshold are obtained by Lüscher's finite volume method. We find bound state poles in both $Σ_c \bar{D}$ and $Σ_c \bar{D}^*$ channels, which are possibly related to the $P_c(4312)$ and $P_c(4440) / P_c(4457)$ pentaquarks observed in experiments. The binding energy is $6(2)(2)$MeV for $Σ_c \bar{D}$ and $7(3)(1)$MeV for $Σ_c \bar{D}^*$, where the first error is the statistical error and the second is the systematic error due to the lattice artifacts.

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Hanyang Xing, Jian Liang, Liuming Liu, Peng Sun, Yi-Bo Yang. 2022-10-16. First observation of the hidden-charm pentaquarks on lattice. https://arxiv.org/abs/2210.08555

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