Microscopic study of tetrahedrally symmetric nuclei by an angular-momentum and parity projection method

We study the properties of the nuclear rotational excitations with hypothetical tetrahedral symmetry by employing the microscopic mean-field and residual-interaction Hamiltonians with angular-momentum and parity projection method; we focus on the deformed nuclei with tetrahedral doubly-closed shell...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2013-04
Main Authors: Tagami, Shingo, Shimizu, Yoshifumi R, Dudek, Jerzy
Format: Article
Language:English
Subjects:
Angular momentum
Deformation
Dependence
Excitation
Forecasting
Hamiltonian functions
Momentum
Nuclei
Parity
Quadrupoles
Symmetry
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the properties of the nuclear rotational excitations with hypothetical tetrahedral symmetry by employing the microscopic mean-field and residual-interaction Hamiltonians with angular-momentum and parity projection method; we focus on the deformed nuclei with tetrahedral doubly-closed shell configurations. We find that for pure tetrahedral deformation the obtained excitation patterns satisfy the characteristic features predicted by group-representation theory applied to the tetrahedral symmetry group. We find that a gradual transition from the approximately linear to the characteristic rigid-rotor, parabolic energy-vs.-spin dependence occurs as a function of the tetrahedral deformation parameter. The form of this transition is compared with the similar well-known transition in the case of quadrupole deformation.
ISSN:2331-8422
DOI:10.48550/arxiv.1301.3279