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    Nuclear and neutron matter in the relativistic Brueckner-Hartree-Fock theory with a next-to-leading-order covariant chiral nuclear force

    Wei-Jiang Zou1, Yi-Long Yang1, Jun-Xu Lu2, Peng-Wei Zhao1, Li-Sheng Geng2,3,4,5,6,*, and Jie Meng1,7,†

    • 1State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
    • 2School of Physics, Beihang University, Beijing 102206, China
    • 3Sino-French Carbon Neutrality Research Center, École Centrale de Pékin/School of General Engineering, Beihang University, Beijing 100191, China
    • 4Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China
    • 5Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China
    • 6Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China
    • 7Center for Theoretical Physics, China Institute of Atomic Energy, Beijing 102413, China

    • *Contact author: lisheng.geng@buaa.edu.cn
    • †Contact author: mengj@pku.edu.cn

    Phys. Rev. C 113, 014311 – Published 12 January, 2026

    DOI: https://doi.org/10.1103/21c6-xvh6

    Abstract

    The symmetric nuclear matter and pure neutron matter are investigated by the relativistic Brueckner-Hartree-Fock (RBHF) theory with the covariant chiral nuclear forces up to the next-to-leading order (NLO). A fitting scheme to ensure the naturalness of the low-energy constants is proposed, which plays a crucial role in the proper description of nuclear matter. With a momentum cutoff of Λ=590 MeV, the empirical saturation energy and density, as well as the incompressibility coefficient at the saturation density, are reproduced well. The equations of state show less dependence on the momentum cutoff and become softer at densities above the saturation density, in comparison with the previous leading-order results. Given the good description of the saturation properties of nuclear matter, the present work encourages future studies of finite nuclei in the framework of the RBHF theory with the NLO covariant chiral nuclear forces.

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