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Title: Theoretical studies in nuclear structure. Progress report, June 1, 1991--November 30, 1991

Abstract

In this period, the work has centered on two topics. The first is the study of a novel type of collective rotation in which an atomic nucleus with an inversion-symmetric shape rotates uniformly about an axis that is not a principal axis of the quadrupole tensor of the density distribution. This mode is referred to as tilted rotation. By using the cranking model together with higher-order corrections, it was shown that tilted rotation is indeed possible, not only within a microscopic framework, but also within the framework of collective models such as the IBM. The maximum tilt angle of {pi}/4 is realized for a certain class of states in the U(5) limit. The second topic, which actually was suggested during the course of the first investigation, is concerned with a new way of representing collective harmonic-oscillator algebras using boson-mapping techniques. In this approach, the many-phonon eigenvectors of a 2{lambda}+1-dimensional oscillator having good angular momentum are represented by simple products of boson operators acting on a vacuum. This representation may simplify the calculation of reduced matrix elements of arbitrary operators in collective models, but more work needs to be done.

Authors:
Publication Date:
Research Org.:
Notre Dame Univ., IN (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10107501
Report Number(s):
DOE/ER/40640-1
ON: DE92004025
DOE Contract Number:  
FG02-91ER40640
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Nov 1991
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR STRUCTURE; DEFORMED NUCLEI; COLLECTIVE MODEL; PROGRESS REPORT; ANGULAR MOMENTUM; HARMONIC OSCILLATORS; MATRIX ELEMENTS; HAMILTONIANS; ROTATION; MOMENT OF INERTIA; 663120; NUCLEAR STRUCTURE MODELS AND METHODS

Citation Formats

Marshalek, E R. Theoretical studies in nuclear structure. Progress report, June 1, 1991--November 30, 1991. United States: N. p., 1991. Web. doi:10.2172/10107501.
Marshalek, E R. Theoretical studies in nuclear structure. Progress report, June 1, 1991--November 30, 1991. United States. https://doi.org/10.2172/10107501
Marshalek, E R. 1991. "Theoretical studies in nuclear structure. Progress report, June 1, 1991--November 30, 1991". United States. https://doi.org/10.2172/10107501. https://www.osti.gov/servlets/purl/10107501.
@article{osti_10107501,
title = {Theoretical studies in nuclear structure. Progress report, June 1, 1991--November 30, 1991},
author = {Marshalek, E R},
abstractNote = {In this period, the work has centered on two topics. The first is the study of a novel type of collective rotation in which an atomic nucleus with an inversion-symmetric shape rotates uniformly about an axis that is not a principal axis of the quadrupole tensor of the density distribution. This mode is referred to as tilted rotation. By using the cranking model together with higher-order corrections, it was shown that tilted rotation is indeed possible, not only within a microscopic framework, but also within the framework of collective models such as the IBM. The maximum tilt angle of {pi}/4 is realized for a certain class of states in the U(5) limit. The second topic, which actually was suggested during the course of the first investigation, is concerned with a new way of representing collective harmonic-oscillator algebras using boson-mapping techniques. In this approach, the many-phonon eigenvectors of a 2{lambda}+1-dimensional oscillator having good angular momentum are represented by simple products of boson operators acting on a vacuum. This representation may simplify the calculation of reduced matrix elements of arbitrary operators in collective models, but more work needs to be done.},
doi = {10.2172/10107501},
url = {https://www.osti.gov/biblio/10107501}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1991},
month = {11}
}