Temperature and angular momentum dependence of the quadrupole deformation in sd-shell

TL;DR

This study investigates how temperature and angular momentum influence quadrupole deformation in sd-shell nuclei 28Si and 27Si using shell model calculations, revealing transitional behaviors and state-specific deformations.

Contribution

It provides a detailed analysis of temperature and angular momentum effects on quadrupole deformation within the sd-shell using the shell model with the USD interaction.

Findings

Quadrupole moments exhibit transitional behavior with temperature.

Transitional temperature varies with angular momentum.

Eigenstate deformations are also analyzed.

Abstract

Temperature and angular momentum dependence of the quadrupole deformation is studied in the middle of the sd-shell for 28Si and 27Si isotopes using the spherical shell model approach. The shell model calculations have been performed using the standard USD interaction and the canonical partition function constructed from the calculated eigen-solutions. It is shown that the extracted average quadrupole moments show a transitional behavior as a function of temperature and the inferred transitional temperature is shown to vary with angular-momentum. The quadrupole deformation of the individual eigen-states is also analyzed.