Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei

We present the first systematic calculations based on the angular momentum projection of cranked Slater determinants. We propose the I_y→I scheme, by which one projects the angular momentum I from the one-dimensional cranked state constrained to the average spin projection of 〈Î_y〉=I. Calculations performed for the rotational band in ⁴⁶Ti show that the AMP I_y→I scheme offers a natural mechanism for correcting the cranking moment of inertia at low spins and shifting the terminating state up by ~2 MeV, in accordance with data. We also apply this scheme to high-spin states near the band termination in A~44 nuclei and compare results thereof with experimental data, shell-model calculations, and results of the approximate analytical symmetry-restoration method proposed previously.