Density distribution investigation through the geometrical structure for the 27S halo nucleus

Abstract

Abstract 27S was predicted as a proton halo nucleus in the 2s1/2 state due to the abnormally large protons root mean square radius. The presence of weakly bound (S2n = 0.90(20) MeV) two valence protons in the 27S nucleus strongly supported this prediction. The core density, matter density, and halo density for this nucleus (27S) have been investigated in this study. The geometrical halo structure has been used for different parameter calculations to investigate these density distributions since sufficient experimental data are not available for this 27S nucleus. The parameters’ values were calculated easily following this geometrical structure. Gaussian-Gaussian (GG) distribution has been applied to investigate these densities. In our present study, the 27S nucleus was investigated as a 2-p halo nucleus due to its low valence two-protons separation energy (0.90 MeV). The 2-p halo 27S nucleus was described having (25Si) + p + p configuration. These measured parameters’ values were then used to investigate the Gaussian-Gaussian (GG) density distributions. MATLAB computational software was also used for these distribution investigations. From these density distributions, a maximum density of 1.042%, 1.001%, and 0.4789% at the centre of the nucleus was obtained for the core density (ρc ), matter density (ρm ), and halo density (ρh ), respectively. The presence of longer tails on the halo and matter distributions also support the prediction as a two-proton halo nucleus.