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Title: The triaxial particle plus rotor model and wobbling mode: A semiclassical view

Abstract

A systematic analysis of the triaxial particle rotor model with single-j shell configuration is carried out to explain the prominent features of observed wobbling excitations in odd A nuclei. The equations of motion for the angular momentum vectors I-vector and j-vector generate two types of equilibrium (i.e., (i) the axes aligned and (ii) the planar) states. The planar equilibrium states involve mainly the orientation degree of freedom {gamma} and their Jacobian matrix J gives purely imaginary eigenvalues in conjugate pairs. Also, our dynamical results show a substantial projection of angular momentum vectors on all the three principal axes, which implies that the resultant angular momentum lies outside the planes of three axes. Both these signatures confirm the spontaneous breakdown of time reversal (T) plus rotation by 180 deg. (R{sub {pi}}) i.e., R{sub {pi}T} symmetry and as a result nearly two identical bands consisting of even and odd spins emerge. We have tested our dynamical formalism for the wobbling mode observed in {sup 163}Lu.

Authors:
;  [1];  [2];  [3]
  1. Physics Department, Guru Nanak Dev University, Amritsar-143005 (India)
  2. Physics Department, Indian Institute of Technology, Roorkee-247667 (India)
  3. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai-400085 (India)
Publication Date:
OSTI Identifier:
21506866
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1304; Journal Issue: 1; Conference: Carpathian summer school of physics - Exotic nuclei and nuclear/particle astrophysics (III): From nuclei to stars, Sinaia (Romania), 20 Jun - 3 Jul 2010; Other Information: DOI: 10.1063/1.3527223; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BREAKDOWN; DEGREES OF FREEDOM; EIGENVALUES; EQUATIONS OF MOTION; EQUILIBRIUM; EXCITATION; FUNCTIONAL ANALYSIS; LUTETIUM 163; PARITY; PARTICLE-CORE COUPLING MODEL; SEMICLASSICAL APPROXIMATION; SPIN; SYMMETRY; SYMMETRY BREAKING; ANGULAR MOMENTUM; APPROXIMATIONS; BETA DECAY RADIOISOTOPES; BETA-PLUS DECAY RADIOISOTOPES; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELECTRON CAPTURE RADIOISOTOPES; ENERGY-LEVEL TRANSITIONS; EQUATIONS; INTERMEDIATE MASS NUCLEI; ISOTOPES; LUTETIUM ISOTOPES; MATHEMATICAL MODELS; MATHEMATICS; MINUTES LIVING RADIOISOTOPES; NUCLEAR MODELS; NUCLEI; ODD-EVEN NUCLEI; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; RADIOISOTOPES; RARE EARTH NUCLEI

Citation Formats

Gupta, Rajiv, Malik, S S, Jain, A K, and Jain, S R. The triaxial particle plus rotor model and wobbling mode: A semiclassical view. United States: N. p., 2010. Web. doi:10.1063/1.3527223.
Gupta, Rajiv, Malik, S S, Jain, A K, & Jain, S R. The triaxial particle plus rotor model and wobbling mode: A semiclassical view. United States. https://doi.org/10.1063/1.3527223
Gupta, Rajiv, Malik, S S, Jain, A K, and Jain, S R. 2010. "The triaxial particle plus rotor model and wobbling mode: A semiclassical view". United States. https://doi.org/10.1063/1.3527223.
@article{osti_21506866,
title = {The triaxial particle plus rotor model and wobbling mode: A semiclassical view},
author = {Gupta, Rajiv and Malik, S S and Jain, A K and Jain, S R},
abstractNote = {A systematic analysis of the triaxial particle rotor model with single-j shell configuration is carried out to explain the prominent features of observed wobbling excitations in odd A nuclei. The equations of motion for the angular momentum vectors I-vector and j-vector generate two types of equilibrium (i.e., (i) the axes aligned and (ii) the planar) states. The planar equilibrium states involve mainly the orientation degree of freedom {gamma} and their Jacobian matrix J gives purely imaginary eigenvalues in conjugate pairs. Also, our dynamical results show a substantial projection of angular momentum vectors on all the three principal axes, which implies that the resultant angular momentum lies outside the planes of three axes. Both these signatures confirm the spontaneous breakdown of time reversal (T) plus rotation by 180 deg. (R{sub {pi}}) i.e., R{sub {pi}T} symmetry and as a result nearly two identical bands consisting of even and odd spins emerge. We have tested our dynamical formalism for the wobbling mode observed in {sup 163}Lu.},
doi = {10.1063/1.3527223},
url = {https://www.osti.gov/biblio/21506866}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1304,
place = {United States},
year = {Wed Nov 24 00:00:00 EST 2010},
month = {Wed Nov 24 00:00:00 EST 2010}
}