Hyperdeformation in the Cd isotopes: a microscopic analysis

TL;DR

This paper uses microscopic relativistic mean field theory to identify potential hyperdeformed nuclei in cadmium isotopes, highlighting $^{96}$Cd as doubly magic and suggesting $^{107}$Cd as a promising candidate for experimental observation.

Contribution

It provides a systematic theoretical analysis predicting hyperdeformed bands in Cd isotopes, identifying $^{96}$Cd as doubly magic and proposing $^{107}$Cd for experimental detection.

Findings

$^{96}$Cd is a doubly magic hyperdeformed nucleus.

$^{107}$Cd has a large energy gap suitable for experimental observation.

Hyperdeformed bands are theoretically predicted in Cd isotopes.

Abstract

A systematics search for the nuclei in which the observation of discrete hyperdeformed (HD) bands may be feasible with existing detector facilities has been performed in the Cd isotopes within the framework of cranked relativistic mean field theory. It was found that the $^{96}$Cd nucleus is a doubly magic HD nucleus due to large proton Z=48 and neutron N=48 HD shell gaps. The best candidate for experimental search of discrete HD bands is $^{107}$Cd nucleus characterized by the large energy gap between the yrast and excited HD bands, the size of which is only 15% smaller than the one in doubly magic HD $^{96}$Cd nucleus.