Work

Decoding the near-threshold X 0 , 1 ( 4140 ) and X 1 ( 4685 ) states via OZI-suppressed coupled-channel scattering

Year: 2026

Type: article

Abstract: To decode the near-threshold dynamics of the X 0 , 1 ( 4140 ) and X 1 ( 4685 ) states, we investigate the OZI-suppressed { D s D ¯ s , J / ψ ϕ , D s * D ¯ s * } coupled-channel scattering in B → D s D ¯ s K decays using the effective range expansion. We demonstrate that the X 0 ( 4140 ) , associated with a dip in the line shape, corresponds to a dynamically generated pole near the J / ψ ϕ threshold. The single-channel J / ψ ϕ scattering length is extracted to be 1.11 ± 0.65 fm , yielding an effective scattering length of 0.12 − 0.10 + 0.20 + i 0.7 8 − 0.40 + 0.20 fm when coupled channels are included. By treating the spin-spin interaction as a subleading effect, we predict a J P C = 1 + + virtual state near the J / ψ ϕ threshold, which naturally resolves the empirical ambiguities surrounding the X 1 ( 4140 ) width. Extending this framework via heavy quark spin symmetry, we further interpret the X 1 ( 4685 ) as a ψ ( 2 S ) ϕ hadronic molecule. Ultimately, these findings highlight how the X ( 4140 ) family and X 1 ( 4685 ) serve as unique theoretical windows into the Fierz rearrangement and OZI suppression mechanisms in low-energy strong interactions.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/1p1p-ysfd

Author: Mao-Jun Yan

Institution: Southwest University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G4401171411, G6489662265