论文标题
3D网格上的Skyrme-Hartree-fock-Bogoliubov质量模型：II。时间反转对称性破坏
Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
论文作者
论文摘要
基于核能密度功能的模型可以在具有微观基础的单个框架中为数千个核提供众多可观察到的访问。这样的模型可以与更多现象学方法的准确性相媲美，但是这样做需要将参数调整为数千个核质量。为了保持如此大规模的可行性，通常对核构型施加了一些对称限制。一个这样的例子是时间转换不变性，通常通过均等填充近似（EFA）强制执行。在这里，我们提高了这一假设，使我们能够访问奇数和奇数核的接地状态的自旋和电流密度，并通过所谓的“ Time-ODD”项有助于这种核的总能量。我们在这里介绍了基于Skyrme的BSKG2模型，其参数被调整为本质上已知的核量，而无需依赖EFA，从而完善了我们的早期工作[G.。 Scamps等人，EPJA 57，333（2021），Arxiv：2011.07904]。除了基态性能之外，我们还将有关actinide核的裂变屏障的信息纳入了参数调节中。所得的模型在2457个已知质量上达到（i）0.678 MEV的根平方（RMS）偏差，（II）0.027 fm在884个测量的电荷半径上，（III）0.44 MEV和0.47 MEV分别在45个fimision interiidiide in Nuctiend fimirii in conticien of Actiniide necirie of Actiniide neciv of Actiniide contive barriers in 45的参考值中，（IV）的（IV）continiide Iciv barriers和（IV）。能量。我们在这里将自己限制在模型的描述和研究中，将EFA提升对诸如结合能，变形和配对之类的基态特性的影响，从而推迟了对即将到来的论文的裂变的详细讨论。
Models based on nuclear energy density functionals can provide access to a multitude of observables for thousands of nuclei in a single framework with microscopic foundations. Such models can rival the accuracy of more phenomenological approaches, but doing so requires adjusting parameters to thousands of nuclear masses. To keep such large-scale fits feasible, several symmetry restrictions are generally imposed on the nuclear configurations. One such example is time-reversal invariance, which is generally enforced via the Equal Filling Approximation (EFA). Here we lift this assumption, enabling us to access the spin and current densities in the ground states of odd-mass and odd-odd nuclei and which contribute to the total energy of such nuclei through so-called "time-odd" terms. We present here the Skyrme-based BSkG2 model whose parameters were adjusted to essentially all known nuclear masses without relying on the EFA, refining our earlier work [G. Scamps et al., EPJA 57, 333 (2021), arXiv:2011.07904]. Moving beyond ground state properties, we also incorporated information on the fission barriers of actinide nuclei in the parameter adjustment. The resulting model achieves a root-mean-square (rms) deviation of (i) 0.678 MeV on 2457 known masses, (ii) 0.027 fm on 884 measured charge radii, (iii) 0.44 MeV and 0.47 MeV, respectively, on 45 reference values for primary and secondary fission barriers of actinide nuclei, and (iv) 0.49 MeV on 28 fission isomer excitation energies. We limit ourselves here to a description of the model and the study the impact of lifting the EFA on ground state properties such as binding energies, deformation and pairing, deferring a detailed discussion of fission to a forthcoming paper.
