Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei

Abstract

Although nuclear energy density functionals are determined primarily by fitting to ground state properties, they are often applied in nuclear astrophysics to excited states, usually through the quasiparticle random phase approximation (QRPA). Here we test the Skyrme functionals SkM* and SLy4 along with the self-consistent QRPA by calculating properties of low-lying vibrational states in a large number of well-deformed even-even rare-earth nuclei. We reproduce trends in energies and transition probabilities associated with gamma-vibrational states, but our results are not perfect and indicate the presences of multi-particle-hole correlations that are not included in the QRPA. The Skyrme functional SkM* performs noticeably better than SLy4. In a few nuclei, changes in the treatment of the pairing energy functional have a significant effect. The QRPA is less successful with "beta-vibrational" states than with the gamma-vibrational states.

11 pages, 10 figures, 3 tables

References in corpus (9)

• Nuclear Energy Density Optimization
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Effective pairing interactions with isospin density dependence
• Systematics of the first 2+ excitation with the Gogny interaction
• Effects of the particle-particle channel on properties of low-lying vibrational states
• Dipole responses in Nd and Sm isotopes with shape transitions
• Self-consistent Skyrme QRPA for use in axially-symmetric nuclei of arbitrary mass
• Self-Consistent Separable Rpa for Skyrme Forces: Giant Resonances in Axial Nuclei
• No-core shell model for 48-Ca, 48-Sc and 48-Ti

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