论文标题

在Hartree-Bogoliubov级别具有和不带张量耦合的协变量密度函数

Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level

论文作者

Mercier, F., Ebran, J. -P., Khan, E.

论文摘要

背景:功能中其他术语的研究与更好地描述核结构现象学有关。在这些术语中,已知张量会影响核结构特性,尤其是在富含中子的核中。但是,尚未对整个核图表进行研究。 目的:通过开发包括这些术语在内的新密度依赖性功能,研究了与Hartree水平张量相对应的术语的影响。特别是,我们详细研究了这样的术语可以使特定核观察物的描述带来的改进。 方法:在Hartree-Bogoliubov级别使用协变量能量密度功能的框架。通过组合Markov-Chain-Monte-Carlo和单纯形算法来优化协变量功能的自由参数。 结果:在包含张张器项时,在核图表(包括轴向变形的)上获得了RMS结合能,自旋轨道分裂和间隙的改善。还发现了势能表面和密度的小修改。在无限的物质中,与实验更好地吻合,将狄拉克质量转移到了更大的价值。 结论:考虑到与哈特里级别的矢量 - 等距通道中的张量术语相对应的其他术语,可以改善核和核物质中核性质的描述。

Background: The study of additional terms in functionals is relevant to better describe nuclear structure phenomenology. Among these terms, the tensor one is known to impact nuclear structure properties, especially in neutron-rich nuclei. However, its effect has not been studied on the whole nuclear chart yet. Purpose: The impact of terms corresponding to the tensor at the Hartree level, is studied for infinite nuclear matter as well as deformed nuclei, by developing new density-dependent functionals including these terms. In particular, we study in details the improvement such a term can bring to the description of specific nuclear observables. Methods: The framework of covariant energy density functional is used at the Hartree-Bogoliubov level. The free parameters of covariant functionals are optimized by combining Markov-Chain-Monte-Carlo and simplex algorithms. Results: An improvement of the RMS binding energies, spin-orbit splittings and gaps is obtained over the nuclear chart, including axially deformed ones, when including tensors terms. Small modifications of the potential energy surface and densities are also found. In infinite matter, the Dirac mass is shifted to a larger value, in better agreement with experiments. Conclusions: Taking into account additional terms corresponding to the tensor terms in the vector-isoscalar channel at the Hartree level, improves the description of nuclear properties, both in nuclei and in nuclear matter.

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