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Title: Band terminations in density functional theory

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 maximum exactly at the terminating state. This suggests that the terminating states can be an interesting probe of the time-odd mean fields 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 [H. Zdunczuk, W. Satula, and R. A. Wyss, Phys. Rev. C 71, 024305 (2005)] that the relative energies of the terminating states in the N{ne}Z,A{approx}44 mass region given by {delta}E 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.more » This indicates the dependence of the {delta}E value on the properties of the central potential.« less
Authors:
 [1]
  1. Department of Physics and Astronomy, Mississippi State University, Mississippi 39762 (United States)
Publication Date:
OSTI Identifier:
21199352
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 78; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.78.054303; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CENTRAL POTENTIAL; CONFIGURATION; CURRENTS; DENSITY FUNCTIONAL METHOD; L-S COUPLING; MASS; MEAN-FIELD THEORY; NUCLEAR MAGNETISM; ORBITAL ANGULAR MOMENTUM; RELATIVISTIC RANGE; S STATES; SPIN