Eur. Phys. J. Special Topics 229, 2389–2403 (2020)
https://doi.org/10.1140/epjst/e2020-000088-4

Regular Article

Quadrupole properties of the eight SU(3) algebras in (sdgi) space

¹ National Institute of Science and Technology, Berhampur 761008, India
² Physical Research Laboratory, Ahmedabad 380009, India
³ Department of Physics, Indian Institute of Technology, Roorkee 247667, India

^a e-mail: rankasahu@gmail.com

Received: 16 May 2020
Accepted: 28 August 2020
Published online: 23 October 2020

Abstract

With nucleons occupying an oscillator shell η, there are 2^[η/2] number of SU(3) algebras; [η/2] is the integer part of η∕2. Analyzing the first non-trivial situation with four SU(3) algebras in (sdg) space, demonstrated recently is that they generate quite different quadrupole properties though they all generate the same spectrum. More complex situation is with eight SU(3) algebras in (sdgi) space. In the present work, quadrupole properties generated by these eight algebras are analyzed first using the more analytically tractable interacting boson model. In addition, shell model and the closely related deformed shell model are used with three examples of nucleons in (sdgi) space. It is found that in general six of the SU(3) algebras generate prolate shape and two oblate shape. Out of all these, one of the SU(3) algebras generates quite small quadrupole moments for the low-lying states.