Algebraic description of triaxially deformed rotational bands in odd mass nuclei
Abstract
An extensive application of the HolsteinPrimakoff boson expansion to both singleparticle angular momentum and total angular momentum provides an algebraic solution, which gives a good approximation to the exact results for the particlerotor model with one highj nucleon coupled to a triaxially deformed core. Two kinds of quantum numbers classify the rotational bands characteristic of the particlerotor model and lead the selection rules for the interband and intraband transitions. The algebraic solution is compared with the experimental data for the odd mass isotopes {sup 163,165,167}Lu as testing grounds.
 Authors:
 Department of Physics, Saitama University, SakuraKu, Saitama 3388570 (Japan)
 Otsuma Women's University, Tama, Tokyo 2068540 (Japan)
 Publication Date:
 OSTI Identifier:
 20771328
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.034305; (c) 2006 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; ANGULAR MOMENTUM; APPROXIMATIONS; BOSON EXPANSION; COLLECTIVE MODEL; DEFORMED NUCLEI; LUTETIUM 167; MASS NUMBER; MATHEMATICAL SOLUTIONS; NUCLEONS; PARTICLECORE COUPLING MODEL; QUANTUM NUMBERS; ROTATIONAL STATES; SELECTION RULES
Citation Formats
Tanabe, Kosai, and SugawaraTanabe, Kazuko. Algebraic description of triaxially deformed rotational bands in odd mass nuclei. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034305.
Tanabe, Kosai, & SugawaraTanabe, Kazuko. Algebraic description of triaxially deformed rotational bands in odd mass nuclei. United States. doi:10.1103/PhysRevC.73.034305.
Tanabe, Kosai, and SugawaraTanabe, Kazuko. Wed .
"Algebraic description of triaxially deformed rotational bands in odd mass nuclei". United States.
doi:10.1103/PhysRevC.73.034305.
@article{osti_20771328,
title = {Algebraic description of triaxially deformed rotational bands in odd mass nuclei},
author = {Tanabe, Kosai and SugawaraTanabe, Kazuko},
abstractNote = {An extensive application of the HolsteinPrimakoff boson expansion to both singleparticle angular momentum and total angular momentum provides an algebraic solution, which gives a good approximation to the exact results for the particlerotor model with one highj nucleon coupled to a triaxially deformed core. Two kinds of quantum numbers classify the rotational bands characteristic of the particlerotor model and lead the selection rules for the interband and intraband transitions. The algebraic solution is compared with the experimental data for the odd mass isotopes {sup 163,165,167}Lu as testing grounds.},
doi = {10.1103/PhysRevC.73.034305},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
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Intrinsic structures and associated rotational bands in mediumheavy deformed oddodd nuclei. 1
The experimentally observed energy levels for oddodd normaldeformed, reflectionasymmetricdeformed, and superdeformed nuclei with 57 {le} Z {le} 81 and 87 {le} N {le} 117 are classified according to their intrinsic structures and associated rotational bands. The literature cutoff date for the data table is August 1995. The article following this one, by B. Singh et al., updates the literature cutoff to March 1998. 
Intrinsic structures and associated rotational bands in mediumheavy deformed oddodd nuclei. 2: Update supplement
The preceding article, Intrinsic Structures and Associated Rotational Bands in MediumHeavy Deformed OddOdd Nuclei, 1, by D.M. Headly et al., presents the experimentally observed energy levels of oddodd nuclei with 57 {le} Z {le} 81 and 87 {le} N {le} 117 with a literature cutoff date of August 1995. This supplement updates the experimental data specifically dealing with level structures of these nuclei through March 1998. 
Coriolis coupling in the rotational bands of deformed oddodd nuclei
Evidence is presented for the existence of oddeven staggering in/ital K//sup /minus// rotational bands (with /ital K//gt/0) of oddodd nuclei in therareearth and actinide regions. Corioliscoupling calculations have beencarried out for rotational bands in /sup 168/Tm,/sup 176/Lu, /sup 182/Ta, and /sup 182/Re.With these calculations, we are able to reproduce the oddeven staggeringobserved in these nuclei. In particular, the unusually strong staggeringobserved in the /ital K/=2/sup +/ and 4/sup /minus// bands of/sup 182/Re can be understood. Unusual features in the wavefunctions of some bands reflect the importance of couplings due to terms otherthan Coriolis in the Hamiltonian.