$N$--$J/ψ$ 相互作用中单核子中间态对π耦合四夸克凝聚的贡献
One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the $N$--$J/ψ$ interaction
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中文总结 AI 辅助
本研究通过单核子中间态计算π耦合四夸克凝聚，纳入QCD求和规则，得到核物质中$J/\psi$ 质量位移$-1.75$ MeV，与格点QCD双π交换吸引一致，改善了OPE与长程$N$--$J/\psi$ 相互作用的联系。
中文摘要 AI 辅助
四夸克凝聚的密度依赖性是在核物质中强子的算符乘积展开分析中不确定性的主要来源。其确定对于$N$--$J/\psi$ 相互作用尤为重要，该相互作用的长程吸引在格点QCD中似乎可由双π交换很好地描述。我们利用单核子中间态插入来评估π耦合的四夸克凝聚，并将其纳入核物质中$J/\psi$ 介子的QCD求和规则分析。在正常核物质密度下，我们发现质量位移为$-1.75$ MeV，这与从拟合格点QCD结果的双π交换势推断出的约$-5$ MeV吸引处于同一量级。先前基于因子化的处理方法需要引入非自然的大唯象参数才能获得可比较的位移。我们的结果表明，单核子中间态对介质中四夸克凝聚提供了显著贡献，并改善了算符乘积展开与长程$N$--$J/\psi$ 相互作用之间的联系。
英文摘要
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.
发表机构
- Yonsei University（延世大学）
- Japan Atomic Energy Agency（日本原子力机构）
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