Band terminations in density functional theory

Abstract

The analysis of the terminating bands has been performed in the relativistic mean field framework. It was shown that nuclear magnetism provides an additional binding to the energies of the specific configuration and this additional binding increases with spin and has its {\it maximum} exactly at the terminating state. This suggests that the terminating states can be an interesting probe of the time-odd mean fields {\it provided that other effects can be reliably isolated.} Unfortunately, a reliable isolation of these effects is not that simple: many terms of the density functional theories contribute into the energies of the terminating states and the deficiencies in the description of those terms affect the result. The recent suggestion \cite{ZSW.05} that the relative energies of the terminating states in the $N\ne Z,A\sim 44$ mass region given by $\Delta E$ {\it provide unique and reliable constraints on time-odd mean fields and the strength of spin-orbit interaction} in density functional theories has been reanalyzed. The current investigation shows that the $\Delta E$ value is affected also by the relative placement of the states with different orbital angular momentum $l$, namely, the placement of the $d$ ($l=2$) and $f$ ($l=3$) states. This indicates the dependence of the $\Delta E$ value on the properties of the central potential.

12 pages, 11 figures

References in corpus (6)

• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Central depression in nuclear density and its consequences for the shell structure of superheavy nuclei
• Shell Model and Mean-Field Description of Band Termination
• Contradicting effective mass scalings within the Skyrme energy density functional method
• Probing effective nucleon-nucleon interaction at band termination

Cited by in corpus (10)

• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• Time-odd mean fields in covariant density functional theory: Rotating systems
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• From superdeformation to extreme deformation and clusterization in the N~Z nuclei of the A~40 mass region
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Comparative study on charge radii and their kinks at magic numbers
• Nuclear structure investigation of even-even Sn isotopes within the covariant density functional theory
• Ground state properties and shape evolution in Pt isotopes within the covariant density functional theory
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory