One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the N--J/ψ interaction
Abstract
The density dependence of four-quark condensates is a major source of uncertainty in operator product expansion analyses of hadrons in nuclear matter. Their determination is particularly relevant to the N--J/ψ interaction, whose long-range attraction appears to be well described by two-pion exchange in lattice QCD. We evaluate the pion-coupled four-quark condensates using one-nucleon intermediate-state insertions and incorporate them into the QCD sum rule analysis for the J/ψ meson in nuclear matter. At normal nuclear matter density, we find a mass shift of −1.75 MeV, which is of the same order as the approximately −5 MeV attraction inferred from a two-pion exchange potential fitted to lattice QCD results. A previous factorization-based treatment required the introduction of unnaturally large phenomenological parameters to obtain a comparable shift. Our result shows that one-nucleon intermediate states provide a significant contribution to the in-medium four-quark condensates and improve the connection between the operator product expansion and the long-range N--J/ψ interaction.
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BibTeX
@misc{yeo2026onenucleon,
title = {{One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the $N$--$J/ψ$ interaction}},
author = {Seokwoo Yeo and Philipp Gubler and Su Houng Lee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08260},
eprint = {2610.08260},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08260},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the N--J/ψ interaction
AU - Seokwoo Yeo
AU - Philipp Gubler
AU - Su Houng Lee
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08260
UR - https://arxiv.org/abs/2610.08260
AB - The density dependence of four-quark condensates is a major source of uncertainty in operator product expansion analyses of hadrons in nuclear matter. Their determination is particularly relevant to the N--J/ψ interaction, whose long-range attraction appears to be well described by two-pion exchange in lattice QCD. We evaluate the pion-coupled four-quark condensates using one-nucleon intermediate-state insertions and incorporate them into the QCD sum rule analysis for the J/ψ meson in nuclear matter. At normal nuclear matter density, we find a mass shift of −1.75 MeV, which is of the same order as the approximately −5 MeV attraction inferred from a two-pion exchange potential fitted to lattice QCD results. A previous factorization-based treatment required the introduction of unnaturally large phenomenological parameters to obtain a comparable shift. Our result shows that one-nucleon intermediate states provide a significant contribution to the in-medium four-quark condensates and improve the connection between the operator product expansion and the long-range N--J/ψ interaction.
ER -