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    From bare two-nucleon interaction to nuclear matter and finite nuclei in a relativistic framework

    Shihang Shen1,2, Jun-Xu Lu2,*, Li-Sheng Geng3,2,1,4,5,†, Wei-Jiang Zou6, and Jie Meng6

    • 1Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University, Beijing 100191, 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
    • 4Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China
    • 5Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China
    • 6State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

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

    Phys. Rev. C 114, 024328 – Published 17 August, 2026

    DOI: https://doi.org/10.1103/pd1h-cdwc

    Abstract

    Understanding nuclear forces, infinite nuclear matter, and finite nuclei within a unified framework has remained a central challenge in nuclear physics for decades. While most ab initio studies employ nonrelativistic Schrödinger-equation frameworks, this work offers a relativistic perspective. Using a leading-order relativistic chiral interaction, we study medium-mass nuclei (Ca, Ni, Zr, Sn) via the relativistic Brueckner-Hartree-Fock theory. Systematic uncertainties from regulator cutoffs and interaction parameters are analyzed. The binding energies and charge radii of medium-mass nuclei agree reasonably well with experimental data, significantly improving the “Coester line”. The charge density distributions also agree well with the data, highlighting the connection to a consistent reproduction of nuclear matter saturation. These results demonstrate that the relativistic approach, employing a leading-order chiral force with only four low-energy constants and no three-nucleon forces, can capture the most important dynamics and offer a complementary pathway to address longstanding challenges in nuclear ab initio studies.

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