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Title: Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation

Abstract

We use the quasiparticle random-phase approximation (QRPA) and the Skyrme interactions SLy4 and SkM* to systematically calculate energies and transition strengths for the lowest 2{sup +} state in spherical even-even nuclei. The SkM* functional, applied to 178 spherical nuclei between Z=10 and 90, produces excitation energies that are on average 11% higher than experimental values, with residuals that fluctuate about the average by -35% to +55%. The predictions of SkM* and SLy4 have significant differences, in part because of differences in the calculated ground state deformations; SkM* performs better in both the average and dispersion of energies. Comparing the QRPA results with those of generator-coordinate-method (GCM) calculations, we find that the QRPA reproduces trends near closed shells better than the GCM, and that it overpredicts the energies less severely in general.

Authors:
;  [1];  [2]
  1. Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255 (United States)
  2. Department of Physics and Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)
Publication Date:
OSTI Identifier:
21192290
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 78; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.78.044311; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMATION; DISPERSIONS; EVEN-EVEN NUCLEI; EXCITATION; FORECASTING; GENERATOR-COORDINATE METHOD; GROUND STATES; INTERACTIONS; RANDOM PHASE APPROXIMATION; SKYRME POTENTIAL; SPHERICAL CONFIGURATION

Citation Formats

Terasaki, J, Engel, J, and Bertsch, G F. Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation. United States: N. p., 2008. Web. doi:10.1103/PHYSREVC.78.044311.
Terasaki, J, Engel, J, & Bertsch, G F. Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation. United States. doi:10.1103/PHYSREVC.78.044311.
Terasaki, J, Engel, J, and Bertsch, G F. Wed . "Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation". United States. doi:10.1103/PHYSREVC.78.044311.
@article{osti_21192290,
title = {Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation},
author = {Terasaki, J and Engel, J and Bertsch, G F},
abstractNote = {We use the quasiparticle random-phase approximation (QRPA) and the Skyrme interactions SLy4 and SkM* to systematically calculate energies and transition strengths for the lowest 2{sup +} state in spherical even-even nuclei. The SkM* functional, applied to 178 spherical nuclei between Z=10 and 90, produces excitation energies that are on average 11% higher than experimental values, with residuals that fluctuate about the average by -35% to +55%. The predictions of SkM* and SLy4 have significant differences, in part because of differences in the calculated ground state deformations; SkM* performs better in both the average and dispersion of energies. Comparing the QRPA results with those of generator-coordinate-method (GCM) calculations, we find that the QRPA reproduces trends near closed shells better than the GCM, and that it overpredicts the energies less severely in general.},
doi = {10.1103/PHYSREVC.78.044311},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 4,
volume = 78,
place = {United States},
year = {2008},
month = {10}
}