Microscopic description of high-spin states: Quantum-number projections ofthe cranked Hartree-Fock-Bagoliubov self-consistent, solution

Quantum-number projection is applied to generate exact eigenstates of angul ar momentum or of particle numbers from the self-consistent solution of the angular-momentum- and particle-number-constrained Hartree-Fock-Bogoliubov (CHFB) equation. Calculations are based on the symmetry-conserving microsco pic Hamiltonian and the large single-particle space spanned by spherical Ni lsson bases covering about 1.5 major shells for both protons and neutrons i n the case of the yrast bands for (158),(164),Er-168 and almost three major shells in the case of the superdeformed bands as well as g and s bands for Ce-132. The residual interaction is given by die monopole- and quadrupole- pairing interactions plus the quadrupole-quadrupole interaction. Symmetry p roperties of the Hamiltonian are fully taken into account through both stag es of solving the CHFB equation and projections to reduce computational tim e substantially. A great mixture of angular momentum components requires th e projection while particle-number projections become less important at hig h spins, especially along superdeformed bands with vanishingly small static gaps. It is shown that the angular momentum projection is effective to rep roduce K=0 superdeformed levels appearing in the yrast band together with t he g and s bands. [S0556-2813(99)00601-9].