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Title: Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase transition region of the interacting boson model

Abstract

The parameter-independent (up to overall scale factors) predictions of the X(5)-{beta}{sup 2},X(5)-{beta}{sup 4}, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). {sup 186}Pt and {sup 172}Os are identified as good examples of X(3), while {sup 146}Ce, {sup 174}Os, and {sup 158}Er, {sup 176}Os are identified as good examples of X(5)-{beta}{sub 2} and X(5)-{beta}{sup 4} behavior, respectively.

Authors:
 [1];  [2];  [3]
  1. Yale University, Wright Nuclear Structure Laboratory (United States), E-mail: elizabeth.ricard-mccutchan@yale.edu
  2. NCSR 'Demokritos', Institute of Nuclear Physics (Greece), E-mail: bonat@inp.demokritos.gr
  3. National Institute of Physics and Nuclear Engineering (Romania), E-mail: zamfir@tandem.nipne.ro
Publication Date:
OSTI Identifier:
21075738
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 70; Journal Issue: 8; Other Information: DOI: 10.1134/S1063778807080236; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; BOSONS; CERIUM 146; COLLECTIVE MODEL; ERBIUM 158; FASTENING; INTERACTING BOSON MODEL; OSMIUM 172; OSMIUM 174; OSMIUM 176; PHASE TRANSFORMATIONS; PLATINUM 186; SYMMETRY

Citation Formats

McCutchan, E. A., Bonatsos, D., and Zamfir, N. V. Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase transition region of the interacting boson model. United States: N. p., 2007. Web. doi:10.1134/S1063778807080236.
McCutchan, E. A., Bonatsos, D., & Zamfir, N. V. Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase transition region of the interacting boson model. United States. https://doi.org/10.1134/S1063778807080236
McCutchan, E. A., Bonatsos, D., and Zamfir, N. V. 2007. "Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase transition region of the interacting boson model". United States. https://doi.org/10.1134/S1063778807080236.
@article{osti_21075738,
title = {Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase transition region of the interacting boson model},
author = {McCutchan, E. A. and Bonatsos, D. and Zamfir, N. V.},
abstractNote = {The parameter-independent (up to overall scale factors) predictions of the X(5)-{beta}{sup 2},X(5)-{beta}{sup 4}, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). {sup 186}Pt and {sup 172}Os are identified as good examples of X(3), while {sup 146}Ce, {sup 174}Os, and {sup 158}Er, {sup 176}Os are identified as good examples of X(5)-{beta}{sub 2} and X(5)-{beta}{sup 4} behavior, respectively.},
doi = {10.1134/S1063778807080236},
url = {https://www.osti.gov/biblio/21075738}, journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 8,
volume = 70,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2007},
month = {Wed Aug 15 00:00:00 EDT 2007}
}