skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase transitions in the interacting boson fermion model: The {gamma}-unstable case

Abstract

The phase transition around the critical point in the evolution from spherical to deformed {gamma}-unstable shapes is investigated in odd nuclei within the interacting boson fermion model. We consider the particular case of an odd j=3/2 particle coupled to an even-even boson core that undergoes a transition from spherical U(5) to {gamma}-unstable O(6) situation. The particular choice of the j=3/2 orbital preserves in the odd case the condition of {gamma}-instability of the system. As a consequence, energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core. The results are also in qualitative agreement with the recently proposed E(5/4) model, although few differences are present, due to the different nature of the two schemes.

Authors:
;  [1]; ;  [2]
  1. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Fisica, Universidad de Sevilla, Apartado 1065, E-41080 Sevilla (Spain)
  2. Dipartimento di Fisica Galileo Galilei and INFN, Via Marzolo 8, I-35131 Padova (Italy)
Publication Date:
OSTI Identifier:
20771067
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.72.061302; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMED NUCLEI; ENERGY SPECTRA; ENERGY-LEVEL TRANSITIONS; FERMIONS; INSTABILITY; INTERACTING BOSON MODEL; PHASE TRANSFORMATIONS; SPHERICAL CONFIGURATION; U-5 GROUPS

Citation Formats

Alonso, C.E., Arias, J.M., Fortunato, L., and Vitturi, A. Phase transitions in the interacting boson fermion model: The {gamma}-unstable case. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.72.061302.
Alonso, C.E., Arias, J.M., Fortunato, L., & Vitturi, A. Phase transitions in the interacting boson fermion model: The {gamma}-unstable case. United States. doi:10.1103/PhysRevC.72.061302.
Alonso, C.E., Arias, J.M., Fortunato, L., and Vitturi, A. Thu . "Phase transitions in the interacting boson fermion model: The {gamma}-unstable case". United States. doi:10.1103/PhysRevC.72.061302.
@article{osti_20771067,
title = {Phase transitions in the interacting boson fermion model: The {gamma}-unstable case},
author = {Alonso, C.E. and Arias, J.M. and Fortunato, L. and Vitturi, A.},
abstractNote = {The phase transition around the critical point in the evolution from spherical to deformed {gamma}-unstable shapes is investigated in odd nuclei within the interacting boson fermion model. We consider the particular case of an odd j=3/2 particle coupled to an even-even boson core that undergoes a transition from spherical U(5) to {gamma}-unstable O(6) situation. The particular choice of the j=3/2 orbital preserves in the odd case the condition of {gamma}-instability of the system. As a consequence, energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core. The results are also in qualitative agreement with the recently proposed E(5/4) model, although few differences are present, due to the different nature of the two schemes.},
doi = {10.1103/PhysRevC.72.061302},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}