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

Terasaki, J; Engel, J; Bertsch, G F

doi:10.1103/PHYSREVC.78.044311

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

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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:

Terasaki, J; Engel, J ^[1]; Bertsch, G F ^[2]

Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255 (United States)
Department of Physics and Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)

Publication Date:: Wed Oct 15 00:00:00 EDT 2008

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.

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                    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.  https://doi.org/10.1103/PHYSREVC.78.044311

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                    Terasaki, J, Engel, J, and Bertsch, G F. 2008.  
        "Systematics of the first 2{sup +} excitation in spherical nuclei with the Skyrme quasiparticle random-phase approximation".  United States.  https://doi.org/10.1103/PHYSREVC.78.044311.

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@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},

  url          = {https://www.osti.gov/biblio/21192290},
  journal      = {Physical Review. C, Nuclear Physics},

  issn         = {0556-2813},

  number       = 4,

  volume       = 78,

  place        = {United States},

  year         = {Wed Oct 15 00:00:00 EDT 2008},

  month        = {Wed Oct 15 00:00:00 EDT 2008}

}

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