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Title: Shell model and mean-field description of band termination in the A{approx}44 nuclei

Abstract

We study nuclear high-spin states undergoing the transition to the fully stretched configuration with maximum angular momentum I{sub max} within the space of valence nucleons. To this end, we perform a systematic theoretical analysis of non-fully-stretched I{sub max}-2 and I{sub max}-1 f{sub 7/2}{sup n} seniority isomers and d{sub 3/2}{sup -1}f{sub 7/2}{sup n+1} intruder states in the A{approx}44 nuclei from the lower-fp shell. We employ two theoretical approaches: (i) the density functional theory based on the cranked self-consistent Skyrme-Hartree-Fock method, and (ii) the nuclear shell model in the full sdfp configuration space allowing for 1p-1h cross-shell excitations. We emphasize the importance of restoration of broken angular momentum symmetry inherently obscuring the mean-field treatment of high-spin states. Overall good agreement with experimental data is obtained.

Authors:
;  [1];  [1];  [2];  [1];  [2];  [2];  [3]
  1. Institute of Theoretical Physics, University of Warsaw, ul. Hoza 69, 00-681 Warsaw (Poland)
  2. (United States)
  3. Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551 (United States)
Publication Date:
OSTI Identifier:
20995268
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.054306; (c) 2007 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; CONFIGURATION; CRANKING MODEL; DENSITY FUNCTIONAL METHOD; HARTREE-FOCK METHOD; HIGH SPIN STATES; ISOMERS; MASS NUMBER; MEAN-FIELD THEORY; NUCLEONS; SHELL MODELS; SKYRME POTENTIAL

Citation Formats

Zalewski, M., Zdunczuk, H., Satula, W., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Nazarewicz, W., Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, and Stoitcheva, G. Shell model and mean-field description of band termination in the A{approx}44 nuclei. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.054306.
Zalewski, M., Zdunczuk, H., Satula, W., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Nazarewicz, W., Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, & Stoitcheva, G. Shell model and mean-field description of band termination in the A{approx}44 nuclei. United States. doi:10.1103/PHYSREVC.75.054306.
Zalewski, M., Zdunczuk, H., Satula, W., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Nazarewicz, W., Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, and Stoitcheva, G. Tue . "Shell model and mean-field description of band termination in the A{approx}44 nuclei". United States. doi:10.1103/PHYSREVC.75.054306.
@article{osti_20995268,
title = {Shell model and mean-field description of band termination in the A{approx}44 nuclei},
author = {Zalewski, M. and Zdunczuk, H. and Satula, W. and Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 and Nazarewicz, W. and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 and Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 and Stoitcheva, G.},
abstractNote = {We study nuclear high-spin states undergoing the transition to the fully stretched configuration with maximum angular momentum I{sub max} within the space of valence nucleons. To this end, we perform a systematic theoretical analysis of non-fully-stretched I{sub max}-2 and I{sub max}-1 f{sub 7/2}{sup n} seniority isomers and d{sub 3/2}{sup -1}f{sub 7/2}{sup n+1} intruder states in the A{approx}44 nuclei from the lower-fp shell. We employ two theoretical approaches: (i) the density functional theory based on the cranked self-consistent Skyrme-Hartree-Fock method, and (ii) the nuclear shell model in the full sdfp configuration space allowing for 1p-1h cross-shell excitations. We emphasize the importance of restoration of broken angular momentum symmetry inherently obscuring the mean-field treatment of high-spin states. Overall good agreement with experimental data is obtained.},
doi = {10.1103/PHYSREVC.75.054306},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}