Calculations of The Shell Model for 27Mg Isotope

Abstract

Using shell-model calculations, the nuclear structure (energy levels and reduced transition probability) of 27Mg isotope has been studied. Shell-model codes, Oxbash for Windows operating system, were utilized to calculate the outcomes. Using a harmonic oscillator, the wave functions of radial single-particle matrix elements have been calculated. The calculated energy levels and available experimental data up to 5 MeV for 27Mg are compared. Core-polarization effects on reduced transition probability are introduced via first-order perturbation theory, which permits higher energy configurations via nucleon excitations from core orbits to those outside model space up to 9ℏω. The core-polarization effects have improved the agreement between B(E2) and their corresponding experimental data, but have no effect on B(M1), B(M2), and B(E1).