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Title: Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones

Abstract

A search for self-consistent solutions for the chiral rotational bands in the N=75 isotones {sup 130}Cs, {sup 132}La, {sup 134}Pr, and {sup 136}Pm is performed within the Skyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The dependence of the solutions on the time-odd contributions in the energy functional is studied. From among the four isotones considered, self-consistent chiral solutions are obtained only in {sup 132}La. The microscopic calculations are compared with the {sup 132}La experimental data and with results of a classical model that contains all the mechanisms underlying the chirality of the collective rotational motion. Strong similarities between the Hartree-Fock and classical model results are found. The suggestion formulated earlier by the authors that the chiral rotation cannot exist below a certain critical frequency is further illustrated and discussed, together with the microscopic origin of a transition from planar to chiral rotation in nuclei. We also formulate the separability rule by which the tilted-axis-cranking solutions can be inferred from three independent principal-axis-cranking solutions corresponding to three different axes of rotation.

Authors:
;  [1];  [2]
  1. Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw (Poland)
  2. Institut de Recherches Subatomiques IN2P3-CNRS/Universite Louis Pasteur, F-67037 Strasbourg Cedex 2 (France)
Publication Date:
OSTI Identifier:
20771529
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 73; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.73.054308; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CESIUM 130; CHIRALITY; CRITICAL FREQUENCY; HARTREE-FOCK METHOD; ISOTONIC NUCLEI; LANTHANUM 132; MATHEMATICAL SOLUTIONS; PRASEODYMIUM 134; PROMETHIUM 136; ROTATION; ROTATIONAL STATES; SKYRME POTENTIAL

Citation Formats

Olbratowski, P, Dobaczewski, J, and Dudek, J. Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.054308.
Olbratowski, P, Dobaczewski, J, & Dudek, J. Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones. United States. https://doi.org/10.1103/PhysRevC.73.054308
Olbratowski, P, Dobaczewski, J, and Dudek, J. 2006. "Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones". United States. https://doi.org/10.1103/PhysRevC.73.054308.
@article{osti_20771529,
title = {Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones},
author = {Olbratowski, P and Dobaczewski, J and Dudek, J},
abstractNote = {A search for self-consistent solutions for the chiral rotational bands in the N=75 isotones {sup 130}Cs, {sup 132}La, {sup 134}Pr, and {sup 136}Pm is performed within the Skyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The dependence of the solutions on the time-odd contributions in the energy functional is studied. From among the four isotones considered, self-consistent chiral solutions are obtained only in {sup 132}La. The microscopic calculations are compared with the {sup 132}La experimental data and with results of a classical model that contains all the mechanisms underlying the chirality of the collective rotational motion. Strong similarities between the Hartree-Fock and classical model results are found. The suggestion formulated earlier by the authors that the chiral rotation cannot exist below a certain critical frequency is further illustrated and discussed, together with the microscopic origin of a transition from planar to chiral rotation in nuclei. We also formulate the separability rule by which the tilted-axis-cranking solutions can be inferred from three independent principal-axis-cranking solutions corresponding to three different axes of rotation.},
doi = {10.1103/PhysRevC.73.054308},
url = {https://www.osti.gov/biblio/20771529}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 5,
volume = 73,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2006},
month = {Mon May 15 00:00:00 EDT 2006}
}