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Title: Cluster states in nuclei as representations of a U({nu}+1) group

Abstract

We propose a description of cluster states in nuclei in terms of representations of unitary algebras U({nu}+1), where {nu} is the number of space degrees of freedom. Within this framework, a variety of situations including both vibrational and rotational spectra, soft and rigid configurations, identical and nonidentical constituents can be described. As an example, we show how the method can be used to study {alpha} clustering configurations in {sup 12}C with point group symmetry D{sub 3h}. (c) 2000 The American Physical Society.

Authors:
 [1];  [2]
  1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, 04510 Mexico, D.F., (Mexico)
  2. Center for Theoretical Physics, Sloane Laboratory, Yale University, New Haven, Connecticut 06520-8120 (United States)
Publication Date:
OSTI Identifier:
20216938
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 6; Other Information: PBD: Jun 2000; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR STRUCTURE; CLUSTER MODEL; VIBRATIONAL STATES; ROTATIONAL STATES; U GROUPS; SYMMETRY GROUPS; THEORETICAL DATA

Citation Formats

Bijker, R., and Iachello, F. Cluster states in nuclei as representations of a U({nu}+1) group. United States: N. p., 2000. Web. doi:10.1103/PhysRevC.61.067305.
Bijker, R., & Iachello, F. Cluster states in nuclei as representations of a U({nu}+1) group. United States. doi:10.1103/PhysRevC.61.067305.
Bijker, R., and Iachello, F. Thu . "Cluster states in nuclei as representations of a U({nu}+1) group". United States. doi:10.1103/PhysRevC.61.067305.
@article{osti_20216938,
title = {Cluster states in nuclei as representations of a U({nu}+1) group},
author = {Bijker, R. and Iachello, F.},
abstractNote = {We propose a description of cluster states in nuclei in terms of representations of unitary algebras U({nu}+1), where {nu} is the number of space degrees of freedom. Within this framework, a variety of situations including both vibrational and rotational spectra, soft and rigid configurations, identical and nonidentical constituents can be described. As an example, we show how the method can be used to study {alpha} clustering configurations in {sup 12}C with point group symmetry D{sub 3h}. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevC.61.067305},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 6,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}