Abstract

The core deformation of a one- and two-proton halo \({}^{27}\)S nucleus was investigated based on experimental data. The Hamiltonian of the three-body systems and the root-mean-square (RMS) matter radii were used to calculate the theoretical value. The calculated theoretical value was analyzed using the relationship of the core deformation parameter (\(\beta_{2}\)) with the binding energy of one- and two-proton halos and the RMS matter radii of nucleus \({}^{27}\)S. The Jacobi method was the primary tool used to describe the motion of the valence proton included in the wave function and was applied to the Hamiltonian of the three-body systems and the RMS matter radius. The calculation was run through MATLAB computational software. The results were shown with the experimental data. The RMS matter radius was large, and the core experienced clear deformation based on the binding energy of one- or two-valence protons ranging from –1.377 to –1.387 MeV. Nucleus \({}^{27}\)S exhibits one- and two-proton halos owing to the low binding energy of the valence nucleon and exhibits either an oblate or prolate shape based on the theoretical binding energy of one- or two-valence protons, respectively.

中文翻译：

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一质子晕和二质子晕的核心变形影响$$ {} ^ {{27}} $$ S S核

摘要

根据实验数据研究了一个和两个质子晕\（{} ^ {27} \） S核的核心变形。使用三体系统的哈密顿量和均方根（RMS）物质半径来计算理论值。利用核心变形参数（\（\ beta_ {2} \））与一质子和二质子晕的结合能以及原子核RMS半径\（{} ^ { 27} \）S. Jacobi方法是用于描述包含在波动函数中的化合价质子运动的主要工具，并应用于三体系统的哈密顿量和RMS物质半径。该计算通过MATLAB计算软件进行。结果与实验数据一起显示。RMS物质半径很大，并且基于–1.377至–1.387 MeV的一价或二价质子的结合能，铁心经历了明显的变形。核\（{} ^ {27} \）小号展品一维和由于低结合的价核子和展品或者扁圆或基于的一维或理论结合能扁长形的能量双质子晕双价质子