Core Deformation Impact of One- and Two-Proton Halo $${}^{{27}}$$S Nucleus

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.