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  • Open Access

Decoding the near-threshold X0,1(4140) and X1(4685) states via OZI-suppressed coupled-channel scattering

Mao-Jun Yan*

  • *Contact author: yanmj0789@swu.edu.cn
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Phys. Rev. D 113, 094012 – Published 7 May, 2026

DOI: https://doi.org/10.1103/1p1p-ysfd

Abstract

To decode the near-threshold dynamics of the X0,1(4140) and X1(4685) states, we investigate the OZI-suppressed {DsD¯s,J/ψϕ,Ds*D¯s*} coupled-channel scattering in B→DsD¯sK decays using the effective range expansion. We demonstrate that the X0(4140), associated with a dip in the line shape, corresponds to a dynamically generated pole near the J/ψϕ threshold. The single-channel J/ψϕ scattering length is extracted to be 1.11±0.65  fm, yielding an effective scattering length of 0.12−0.10+0.20+i0.78−0.40+0.20  fm when coupled channels are included. By treating the spin-spin interaction as a subleading effect, we predict a JPC=1++ virtual state near the J/ψϕ threshold, which naturally resolves the empirical ambiguities surrounding the X1(4140) width. Extending this framework via heavy quark spin symmetry, we further interpret the X1(4685) as a ψ(2S)ϕ hadronic molecule. Ultimately, these findings highlight how the X(4140) family and X1(4685) serve as unique theoretical windows into the Fierz rearrangement and OZI suppression mechanisms in low-energy strong interactions.

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Phys. Rev. D 113, 094012– Published 7 May, 2026
  • Received 22 February 2026
  • Accepted 21 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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