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

Fuente: arXiv
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Main Authors: Lyu, Yan, Doi, Takumi, Hatsuda, Tetsuo, Sugiura, Takuya
Format: Preprint
Published: 2025
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author Lyu, Yan
Doi, Takumi
Hatsuda, Tetsuo
Sugiura, Takuya
author_facet Lyu, Yan
Doi, Takumi
Hatsuda, Tetsuo
Sugiura, Takuya
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00054
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $NJ/ψ$ and $Nη_c$ interactions from lattice QCD
Lyu, Yan
Doi, Takumi
Hatsuda, Tetsuo
Sugiura, Takuya
High Energy Physics - Lattice
Nuclear Theory
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.
title $NJ/ψ$ and $Nη_c$ interactions from lattice QCD
topic High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2502.00054