TERMINATING STATES AS A UNIQUE LABORATORY FOR TESTING NUCLEAR ENERGY DENSITY FUNCTIONAL

Systematic calculations of favored signature maximum-spin Imax and unfavored signature Imax - 1 terminating states for [Formula: see text] and [Formula: see text] configurations (n denotes number of valence particles) in A~44 mass region are presented. Following the result of Zduńczuk et al., Phys. Rev. C58 (2005) 024305 the calculations are performed using Skyrme energy density functional with empirical Landau parameters and slightly reduced spin-orbit strength. The aim is to identify and phenomenologically restore rotational symmetry broken by the Skyrme-Hartree-Fock solutions. In particular, it is shown that correlation energy due to symmetry restoration is absolutely crucial in order to reproduce energy splitting E(Imax) - E(Imax - 1) in [Formula: see text] configurations but is relatively less important for [Formula: see text] configurations.