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arXiv · 2502.00054

$NJ/ψ$ and $Nη_c$ interactions from lattice QCD

Yan Lyu·Takumi Doi·Tetsuo Hatsuda·Takuya Sugiura
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Abstract

The interaction between nucleon and charmonia ($J/ψ$ and $η_c$) is expected to deepen our understanding of various aspects in nonperturbative QCD ranging from the origin of nucleon mass to $J/ψ$ mass modification in nuclear medium and properties of hidden-charm pentaquark states. Here, we present the low-energy $NJ/ψ$ and $Nη_c$ interactions based on ($2+1$) flavor lattice QCD simulations with nearly physical pion mass $m_π=146$ MeV. The interactions, extracted from the spacetime correlations of the nucleon and charmonium system by using the HAL QCD method, are found to be attractive in all distances and manifest a characteristic long-range tail consistent with the two-pion exchange interaction. The resulting scattering lengths are around $0.3$ fm, $0.4$ fm and $0.2$ fm for $NJ/ψ$ with spin $3/2$, with spin $1/2$, and $Nη_c$, respectively. Our results are orders of magnitude larger than those from the photoproduction experiments assuming the vector meson dominance.

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Yan Lyu, Takumi Doi, Tetsuo Hatsuda, Takuya Sugiura. 2025-01-29. $NJ/ψ$ and $Nη_c$ interactions from lattice QCD. https://arxiv.org/abs/2502.00054

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