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<p>Nuclear masses play a crucial role in both nuclear physics and astrophysics, driving sustained efforts toward precise experimental determination and reliable theoretical predictions. In this study, we compiled the newly measured masses for 296 nuclides from 40 references published between 2021 and 2024, subsequent to the release of the latest atomic mass evaluation. These data were used to benchmark the performance of several relativistic and nonrelativistic density functionals, including PC-PK1, TMA, SLy4, SV-min, UNEDF1, and the recently proposed PC-L3R. The results for PC-PK1 and PC-L3R were obtained using the state-of-the-art deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc), whereas the others were adopted from the existing literature. It was found that the DRHBc calculations with PC-PK1 and PC-L3R achieved an accuracy better than 1.5 MeV, outperforming the other functionals, which all exhibited root-mean-square deviations exceeding 2 MeV. The odd–even effects and isospin dependence in these theoretical descriptions were examined. The PC-PK1 and PC-L3R descriptions were qualitatively similar, exhibiting robust isospin dependence along the isotopic chains. Finally, a quantitative comparison between the PC-PK1 and PC-L3R results is presented, with the largest discrepancies analyzed in terms of the potential energy curves from the constrained DRHBc calculations.</p>

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Benchmarking nuclear energy density functionals with new mass data

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Xiao-Ying Qu,
  • Kang-Min Chen,
  • Cong Pan,
  • Yang-Yang Yu,
  • Kai-Yuan Zhang

摘要

Nuclear masses play a crucial role in both nuclear physics and astrophysics, driving sustained efforts toward precise experimental determination and reliable theoretical predictions. In this study, we compiled the newly measured masses for 296 nuclides from 40 references published between 2021 and 2024, subsequent to the release of the latest atomic mass evaluation. These data were used to benchmark the performance of several relativistic and nonrelativistic density functionals, including PC-PK1, TMA, SLy4, SV-min, UNEDF1, and the recently proposed PC-L3R. The results for PC-PK1 and PC-L3R were obtained using the state-of-the-art deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc), whereas the others were adopted from the existing literature. It was found that the DRHBc calculations with PC-PK1 and PC-L3R achieved an accuracy better than 1.5 MeV, outperforming the other functionals, which all exhibited root-mean-square deviations exceeding 2 MeV. The odd–even effects and isospin dependence in these theoretical descriptions were examined. The PC-PK1 and PC-L3R descriptions were qualitatively similar, exhibiting robust isospin dependence along the isotopic chains. Finally, a quantitative comparison between the PC-PK1 and PC-L3R results is presented, with the largest discrepancies analyzed in terms of the potential energy curves from the constrained DRHBc calculations.