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Charmonium-nucleon femtoscopic correlation function

Zhi-Wei Liu1, Duo-Lun Ge1, Jun-Xu Lu1, Ming-Zhu Liu2,3,*, and Li-Sheng Geng1,4,5,6,7,†

  • 1School of Physics, Beihang University, Beijing 102206, China
  • 2Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
  • 3School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
  • 4Sino-French Carbon Neutrality Research Center, École Centrale de Pékin/School of General Engineering, Beihang University, Beijing 100191, China
  • 5Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China
  • 6Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China
  • 7Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China

  • *Contact author: liumz@lzu.edu.cn
  • †Contact author: lisheng.geng@buaa.edu.cn
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Phys. Rev. D 112, 054019 – Published 12 September, 2025

DOI: https://doi.org/10.1103/3bdh-blwh

Abstract

This study investigates the femtoscopic correlation functions of charmonium-nucleon pairs, utilizing the lattice QCD phase shifts provided by the HAL QCD Collaboration. A “model-independent” formalism is employed to transform scattering phase shifts directly into momentum correlation functions, thereby circumventing the approximations inherent in traditional methods, such as the Lednický-Lyuboshits model. The J/ψ−p correlation functions, including spin-averaged and partial-wave results, are predicted using near-physical pion mass lattice results. The ηc−p correlation function is calculated for the first time. The derived correlation functions provide critical references for future experiments, such as those at the LHC, where high-precision measurements of charmonium-nucleon correlations could unveil valuable insights into nonperturbative QCD dynamics.

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Phys. Rev. D 112, 054019– Published 12 September, 2025
  • Received 11 April 2025
  • Accepted 25 August 2025
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