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arXiv 2103.05996nucl-th
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从头算启发的能量密度泛函在原子核中的应用:有效质量和对称能斜率对体性质和表面性质的影响

Application of an ab-initio-inspired energy density functional to nuclei: impact of the effective mass and the slope of the symmetry energy on bulk and surface properties

Stefano Burrello, Jérémy Bonnard, Marcella Grasso

摘要:

首次将YGLO(Yang-Grasso-Lacroix-Orsay)泛函应用于研究从氧到铅的不同同位素链的基态性质。平均场Hartree-Fock计算进行分析的分离能,结合能,半径,中子皮,和密度分布的全球趋势。我们有三个目标:i)我们研究这个泛函是否导致基态性质的合理描述(尽管事实上,它没有调整的核),我们讨论了相关的限制; ii)我们调查是否正确的描述低密度核气体,这是这个功能的特点,有任何相关的影响预测核; iii)我们将核能、半径和密度分布与相应的无限物质状态方程的性质联系起来。特别是,我们确定了在缺中子核,即质子半径和质子密度的尾巴的等效质量和空间属性之间存在的联系。在另一方面,我们表明,对称性能量的斜率与空间属性在富中子核:在饱和密度计算的斜率是有关的中子皮厚度,正如已经众所周知的,而在较低的密度计算的斜率与中子密度的尾部。YGLO的有效质量很低。在手稿的最后,探讨并建议了改进这方面的方向。

英文摘要:

The YGLO (Yang-Grasso-Lacroix-Orsay) functional is applied for the first time to investigate ground-state properties of different isotopic chains, from Oxygen to Lead. Mean-field Hartree-Fock calculations are carried out to analyze global trends for separation energies, binding energies, radii, neutron skins, and density profiles. We have three objectives: i) we study whether this functional leads to a reasonable description of ground-state properties (despite the fact that it was not adjusted on nuclei) and we discuss the associated limitations; ii) we investigate whether the correct description of the low-density nuclear gas, which is the peculiarity of this functional, has any relevant impact on predictions for nuclei; iii) we connect nuclear energies, radii and density profiles with properties of the corresponding equations of state of infinite matter. In particular, we identify a link existing between the isoscalar effective mass and spatial properties in neutron-deficient nuclei, namely proton radii and tails of proton densities. On the other side, we show that the slope of the symmetry energy is connected with spatial properties in neutron-rich nuclei: the slope computed at saturation density is related to neutron skin thicknesses, as already well known, whereas the slope calculated at lower densities is linked to the tails of neutron densities. The YGLO effective mass turns out to be quite low. Directions to improve this aspect are explored and suggested at the end of the manuscript.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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