Abstract

The shell structure of a nucleus is important to study their observed characteristic features. The classic magic numbers are successful in explaining the nuclear properties for nuclei lying near the stability line. The advent of radioactive ion beam facilities has permitted to examine nuclei in their extreme proton to neutron ratio. The light exotic nuclei were found to exhibit unique shell closure behaviour which is different from the medium mass nuclei near the stability line. The two nucleon separation energy difference systematics was used as a probe to study the magic character of light nuclei. New proton and neutron magic numbers were predicted among the available even Z isotopes and even N isotones. For certain systems, the classic magic numbers were found to be non-magic, while for some systems the magic property is retained even at the drip lines. The shell closure behaviour predicted is found to depend on the version of the mass table.

Highlights

  • The nuclei with nucleon numbers 2, 8, 20, 28, 50, 82 and 126 are found to be extremely stable compared to neighbouring nuclei

  • The nucleon separation energy systematics exhibits discontinuities when plotted as a function of nucleon number and this forms the basis of the present work

  • The separation energy difference systematics was used as a probe to study the shell evolution in light nuclei

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Summary

Introduction

The nuclei with nucleon numbers 2, 8, 20, 28, 50, 82 and 126 are found to be extremely stable compared to neighbouring nuclei. The specific nucleon numbers are referred to as “magic number” and they remain magic for nuclei along the stability line. One among them is the potential energy surface analysis using cluster core model [12, 13] which identified N = 6 and 14 or 16 and Z = 6 and 14 as the possible magic number for nuclei near the proton drip-line. Another important method is the separation energy systematics which can be used as a probe to study the magic number. The nucleon separation energy systematics exhibits discontinuities when plotted as a function of nucleon number and this forms the basis of the present work

Methodology
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Results
Summary
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