2010/08/03 by K. J. Pototzky, J. Erler, P.‐G. Reinhard +2 · 39 citations
Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Binding energy #Consistency (knowledge bases) #Excitation #Geometry #Hartree–Fock method #Nuclear physics research studies #Nucleon #Pairing #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectral line #nucl-th
paper · pdf · doi:10.1140/epja/i2010-11045-6
published in The European Physical Journal A 46(2), 299-313 (Springer Science+Business Media)
arxiv created 2010/08/03 · openalex publication_date 2010/10/15 · arxiv updated 2010/11/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a systematic analysis of the description of odd nuclei by the Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and blocking of the odd nucleon. Current and spin densities in the Skyrme functional produce time-odd mean fields (TOMF) for odd nuclei. Their effect on basic properties (binding energies, odd-even staggering, separation energies and spectra) is investigated for the three Skyrme parameterizations SkI3, SLy6, and SV-bas. About 1300 spherical and axially-deformed odd nuclei with 16 < Z < 92 are considered. The calculations demonstrate that the TOMF effect is generally small, although not fully negligible. The influence of the Skyrme parameterization and the consistency of the calculations are much more important. With a proper choice of the parameterization, a good description of binding energies and their differences is obtained, comparable to that for even nuclei. The description of low-energy excitation spectra of odd nuclei is of varying quality depending on the nucleus.