Abstract
In this study, the nuclear shell model was applied to calculate the energy levels and reduced electric quadruple transition probability B(E2) for 36Si isotope using the OXBASH code within (1d3/2, 2s1/2, 2p3/2, 1f7/2) model space and using (HASN, ZBM2 and VPTH) interactions, As this isotope contains eight neutrons outside 28Si core in the region and when comparing the results of this study with the values. Available process compatibility was acceptable. There was good agreement at level 2+1, and angular momentum and parity were confirmed for levels 4+, 6+, and for all interactions, and the value of B(E2) corresponds well with the only practical value available for the transition .
Highlights
The nuclear shell model proposed by Mayer and Jensen (Mayer & Jensen, 1955)
The calculations were performed in the space model (1d3/2, 2s1/2, 2p3/2 and 1f7/2) above the N = 22 and Z = 14 closed shells for neutrons and protons within HASP space by using the OXBASH program (Brown et al, 2004) which has the ability to calculate the equations by executing certain orders after selecting both the effective interaction and the model space The counterpart specified in the study
We can compare the theoretical values of energy levels relative to the ground state of the 36Si nucleus by using HASN, ZBM2, and VPTH interactions with available experimental results for Silicone isotopes shown in the table (1), From this table, we noticed that there is compatibility with the experimental data and according to the total angular momentum values and parity. it shows the following in the all interactions: 1. The angular momentum and parity are identical to the ground state of level 0+1 when compared with the available experimental data
Summary
The nuclear shell model proposed by Mayer and Jensen (Mayer & Jensen, 1955) This model the basic framework for nuclear structure calculations in terms of nucleons and which entered into nuclear physics more than sixty years ago (Haxel, Jensen, & Suess, 1949; Mayer, 1949). The nuclear shell model is based on the analogous model for the orbital structure of atomic electrons in atoms Each nucleon moves Independent from the other, but they are all moving in the nuclear field resulting from them all. This approach, very successfully, explains the ground state properties of nuclei (S Mohammadi et al, 2015) Calculations for this isotope were performed in the HASP space-shell model. The calculation on the description of energy levels of Silicon isotope 36Si have been carried out using the code OXBASH for windows (Brown et al, 2004) in (1d3/2, 2s1/2, 2p3/2, 1f7/2) model space and using the HASN, ZBM2 and VPTH interactions (Bhattacharjee et al, 2016; Shafeghat et al, 2017)
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