Long-Range $N-J/ψ$ Interaction from an Operator Product Expansion Perspective
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| Format: | Preprint |
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2025
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| _version_ | 1866911287092445184 |
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| author | Yeo, Seokwoo Park, In Woo Lee, Su Houng |
| author_facet | Yeo, Seokwoo Park, In Woo Lee, Su Houng |
| contents | A recent lattice QCD study has shown that the $N-J/ψ$ potential is attractive at all distances, and its long-range tail is well described by two-pion exchange. Here, we study to what extent the long-range part of the attraction can be reproduced from the perspective of the operator product expansion (OPE). This is accomplished by extracting the leading-order four-quark operator that couples to two pions and calculating its contribution to the $J/ψ$ mass in nuclear matter, to linear order in density, within the QCD sum rule framework. Using previous estimates of the four-quark operators for the chiral symmetric and breaking parts, we obtain a mass decrease that is smaller in magnitude but qualitatively consistent with the attraction obtained in the lattice QCD calculation. By expressing the interaction in terms of four-quark operators, we can analyze the effects of chiral symmetry restoration in dense matter on the masses of the $J/ψ$ and other mesons composed of heavy quarks. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_04980 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-Range $N-J/ψ$ Interaction from an Operator Product Expansion Perspective Yeo, Seokwoo Park, In Woo Lee, Su Houng Nuclear Theory High Energy Physics - Phenomenology A recent lattice QCD study has shown that the $N-J/ψ$ potential is attractive at all distances, and its long-range tail is well described by two-pion exchange. Here, we study to what extent the long-range part of the attraction can be reproduced from the perspective of the operator product expansion (OPE). This is accomplished by extracting the leading-order four-quark operator that couples to two pions and calculating its contribution to the $J/ψ$ mass in nuclear matter, to linear order in density, within the QCD sum rule framework. Using previous estimates of the four-quark operators for the chiral symmetric and breaking parts, we obtain a mass decrease that is smaller in magnitude but qualitatively consistent with the attraction obtained in the lattice QCD calculation. By expressing the interaction in terms of four-quark operators, we can analyze the effects of chiral symmetry restoration in dense matter on the masses of the $J/ψ$ and other mesons composed of heavy quarks. |
| title | Long-Range $N-J/ψ$ Interaction from an Operator Product Expansion Perspective |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.04980 |