Abstract

Energy levels for (18F, 19F and 20F) isotopes have been studied within the framework of shell model using OXBASH code. In this work, the calculations are based on the Universal Sd-shell Hamiltonian (USDA) and W Hamiltonians for proton and neutron particle orbits in SDPN model space. The calculated energy levels and reduced electric quadrupole transition probabilities B(E2;↓) are in reasonably agreement with available empirical data. New energy levels have been predicted for all the isotopes in this work. Many unconfirmed experimental energy levels were confirmed by our calculations.   Key words: Shell model, energy levels, OXBASH code, B (E2; ↓).

Highlights

  • The shell model (SM) has long been shown to be the main key to understanding nuclear structure

  • As well known, within the shell-model approach only the particles outside a core made up of filled shells are considered to be active, and calculations are performed in a truncated Hilbert space, the so-called model space (Dean et al, 2004; Gargano et al, 2014).The SM has been successful in explaining the variation of neutron and proton energies and in predicting the observed properties of nuclei such as spins, parities and nuclear electromagnetic moments in different regions of the nuclide chart (Neyens, 2003)

  • Oxbash comes with a library of model spaces and interactions (Hasan and Kareem, 2016)

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Summary

Introduction

The shell model (SM) has long been shown to be the main key to understanding nuclear structure. It provides the theoretical framework for a microscopic description of nuclear properties essentially based on the use of effective interactions. The study of low-lying excited states of nuclei around double magic shells provides information about specific nuclear orbital nucleus because few nuclear orbits dominate the contribution to their wave functions. This is well proved by the attention focused on these nuclei in various recent papers (Al-Sammarraie et al, 2015). Previous studies of low-lying states and transition probabilities for isotopes in the sd-shell region were studied (Kaneko et al, 2011; Mohammadi et al, 2017)

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