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首页> 外文期刊>Physical Review C >Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach
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Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach

机译：核仁密度中的中央凹陷：核密度函数理论方法的趋势分析

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Background: The central depression of nucleonic density, i.e., a reduction of density in the nuclear interior, has been attributed to many factors. For instance, bubble structures in superheavy nuclei are believed to be due to the electrostatic repulsion. In light nuclei, the mechanism behind the density reduction in the interior has been discussed in terms of shell effects associated with occupations of s orbits. Purpose: The main objective of this work is to reveal mechanisms behind the formation of central depression in nucleonic densities in light and heavy nuclei. To this end, we introduce several measures of the internal nucleonic density. Through the statistical analysis, we study the information content of these measures with respect to nuclear matter properties. Method: We apply nuclear density functional theory with Skyrme functionals. Using the statistical tools of linear least square regression, we inspect correlations between various measures of central depression and model parameters, including nuclear matter properties. We study bivariate correlations with selected quantities as well as multiple correlations with groups of parameters. Detailed correlation analysis is carried out for 34Si for which a bubble structure has been reported recently, ~(48)Ca, and N = 82, 126, and 184 isotonic chains. Results: We show that the central depression in medium-mass nuclei is very sensitive to shell effects, whereas for superheavy systems it is firmly driven by the electrostatic repulsion. An appreciable semibubble structure in proton density is predicted for ~(294)Og, which is currently the heaviest nucleus known experimentally. Conclusion: Our correlation analysis reveals that the central density indicators in nuclei below ~(208)Pb carry little information on parameters of nuclear matter; they are predominantly driven by shell structure. On the other hand, in the superheavy nuclei there exists a clear relationship between the central nucleonic density and symmetry energy.
机译：背景：核心密度的中央凹陷，即核内部的密度降低，归因于许多因素。例如，据信过核核中的气泡结构是由于静电排斥。在轻质核中，在与S轨道的职业相关的壳体效应方面，已经讨论了内部密度减少的机制。目的：这项工作的主要目标是揭示在轻质和重核中核子密度中形成中央抑郁症背后的机制。为此，我们介绍了几种内部核数密度的措施。通过统计分析，我们研究了这些措施的信息内容，核心属性。方法：我们用Skyrme功能应用核密度功能理论。使用线性最小二乘回归的统计工具，我们检查中央抑郁和模型参数各种措施之间的相关性，包括核物质特性。我们研究与所选数量的双变量相关性以及与参数组的多个相关性。对34Si进行了详细的相关性分析，其中近期报道了气泡结构，〜（48）Ca，N = 82,126和184个等渗链。结果：我们表明中核核中的中央凹陷对壳体效应非常敏感，而对于过度的系统，它被静电排斥力牢固地驱动。预测〜（294）OG的质子密度中的明显半结构是目前是实验所知的最重的核。结论：我们的相关分析表明，核核中的中央密度指标〜（208）PB对核事务参数的信息很少;它们主要由壳结构驱动。另一方面，在超核核中，中央核磁密度和对称能量之间存在明显的关系。

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  • 来源
    《Physical Review C》 |2017年第2017期|024306.1-024306.6|共6页
  • 作者

    B. Schuetrumpf; W. Nazarewicz; P.-G. Reinhard;

  • 作者单位

    NSCL/FRIB Laboratory Michigan State University East Lansing Michigan 48824 USA;

    Department of Physics and Astronomy and FRIB Laboratory Michigan State University East Lansing Michigan 48824 USA;

    Institut fuer theoretische Physik Universitaet Erlangen D-91054 Erlangen Germany;

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