Tensor Resonance in $J/ψJ/ψ$ Scattering from Lattice QCD

Fuente: arXiv
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Main Authors: Li, Geng, Shi, Chunjiang, Chen, Ying, Sun, Wei
Format: Preprint
Published: 2025
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author Li, Geng
Shi, Chunjiang
Chen, Ying
Sun, Wei
author_facet Li, Geng
Shi, Chunjiang
Chen, Ying
Sun, Wei
contents The $S$-wave scattering amplitudes of $J/ψJ/ψ$ with quantum numbers $J^{PC} = 0^{++}$ and $2^{++}$ are determined up to 6600\,MeV using lattice QCD calculations at $m_π\approx 420$ and 250\,MeV. The ${}^1S_0$ $J/ψJ/ψ$ system exhibits a near-threshold attractive interaction, resulting in a virtual bound state with a binding energy of approximately 30-40\,MeV. In contrast, the ${}^5S_2$ $J/ψJ/ψ$ system exhibits a repulsive interaction near threshold. These behaviors are primarily dominated by the quark rearrangement effect. Most notably, a resonance is observed in the ${}^5S_2$ $J/ψJ/ψ$ channel, with a mass around 6540\,MeV and a width of approximately 540\,MeV. The extracted mass and width are consistent with the $X(6600)$ (or $X(6400)$) observed by the ATLAS and CMS collaborations, and show little dependence on the sea pion mass.
format Preprint
id arxiv_https___arxiv_org_abs_2505_24213
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tensor Resonance in $J/ψJ/ψ$ Scattering from Lattice QCD
Li, Geng
Shi, Chunjiang
Chen, Ying
Sun, Wei
High Energy Physics - Lattice
The $S$-wave scattering amplitudes of $J/ψJ/ψ$ with quantum numbers $J^{PC} = 0^{++}$ and $2^{++}$ are determined up to 6600\,MeV using lattice QCD calculations at $m_π\approx 420$ and 250\,MeV. The ${}^1S_0$ $J/ψJ/ψ$ system exhibits a near-threshold attractive interaction, resulting in a virtual bound state with a binding energy of approximately 30-40\,MeV. In contrast, the ${}^5S_2$ $J/ψJ/ψ$ system exhibits a repulsive interaction near threshold. These behaviors are primarily dominated by the quark rearrangement effect. Most notably, a resonance is observed in the ${}^5S_2$ $J/ψJ/ψ$ channel, with a mass around 6540\,MeV and a width of approximately 540\,MeV. The extracted mass and width are consistent with the $X(6600)$ (or $X(6400)$) observed by the ATLAS and CMS collaborations, and show little dependence on the sea pion mass.
title Tensor Resonance in $J/ψJ/ψ$ Scattering from Lattice QCD
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2505.24213