论文标题

当质子密度约束至其实验分布时,$^{208} $ pb核的中子密度分布的研究

Investigation of neutron density distribution of $^{208}$Pb nucleus when the proton density is constrained to its experimental distribution

论文作者

Abdulghany, A. R.

论文摘要

在这项研究中,提出了两个新的用于中子分布理论计算的新颖改进。首先,可用的实验质子分布被用作约束,而不是从计算中推断出来。其次,最近提出的分布公式D3PF用于中子密度,该密度比通常的形状更详细,这是第一次在核结构计算中。在本研究中考虑了一种半微观计算方法,但是,可以将提出的改进引入任何其他方法。 $^{208} $ pb核的基态结合能和中子密度分布是通过优化考虑三种不同分布公式的结合能来计算的。所提出的改进的实施导致结合能和中子密度分布的计算进行定性和定量的改进。计算出的结合能与实验值一致,计算出的中子密度显示核内部内部的波动,这与自洽方法的预测一致。

In this study, two novel improvements for the theoretical calculation of the neutron distributions are presented. First, the available experimental proton distributions are used as a constraint rather than inferred from the calculation. Second, the recently proposed distribution formula, d3pF, is used for the neutron density, which is more detailed than the usual shapes, for the first time in nuclear structure calculation. A semi-microscopic approach for binding energy calculation is considered in this study, however, the proposed improvements can be introduced to any other approach. The ground state binding energy and neutron density distribution of $^{208}$Pb nucleus are calculated by optimizing the binding energy considering three different distribution formulae. The implementation of the proposed improvements leads to a qualitative and quantitative improvement in the calculation of the binding energy and neutron density distribution. The calculated binding energy agrees with the experimental value, and the calculated neutron density shows fluctuations within the nuclear interior, which agrees with the predictions of self-consistent approaches.

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