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  • Letter
  • Open Access

Scalar and tensor structures in J/ψJ/ψ scattering from lattice QCD

Geng Li1,2,*, Chunjiang Shi1,3, Ying Chen1,2,3,†, and Wei Sun1

  • *Contact author: ligeng@ihep.ac.cn
  • †Contact author: cheny@ihep.ac.cn

Phys. Rev. D 114, L031506 – Published 27 August, 2026

DOI: https://doi.org/10.1103/xksw-yqcj

Abstract

The S01 and S25 amplitudes of J/ψJ/ψ scattering are determined up to 6.6 GeV from Nf=2 lattice QCD simulations at mπ≈420  MeV and 250 MeV. We observe an attractive interaction in the S10 channel, which permits the existence of a near-threshold scalar structure. This structure may correspond to X(6200), but the possible left-hand-cut effect prevents us from a precise pole determination. In the S52 channel, while a near-threshold repulsive interaction is observed, a resonance appears at higher energies associated with a Castillejo-Dalitz-Dyson zero sCDD≈6.45  GeV of the scattering amplitude. The tensor resonance has the parameters (mR,ΓR)=(6.543(10),0.548(34))  GeV for mπ≈420  MeV and (6.538(13), 0.537(56)) GeV for mπ≈250  MeV, which are compatible with those of X(6600) [or X(6400)] reported by ATLAS and CMS and also support the 2++ assignment of the recent CMS study. The difference of the S01 and S25 J/ψJ/ψ interaction is attributed to the dominance of the quark rearrangement effects. The systematic uncertainties owing to the unphysical pion mass, the finite lattice spacing, and the finite volume should be investigated by future lattice QCD studies with more sophisticated lattice setups.

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