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We present the first systematic calculations based on the angular-momentum projection of cranked Slater determinants. We propose the $ I_y$ $ \rightarrow$$ I$ scheme, by which one projects the angular momentum $ I$ from the 1D cranked state constrained to the average spin projection of $ \langle \hat I_y\rangle=I$. Calculations performed for the rotational band in $ ^{46}$Ti show that the AMP $ I_y$ $ \rightarrow$$ I$ scheme offers a natural mechanism for correcting the cranking moment of inertia at low-spins and shifting the terminating state up by $ \sim$2MeV, in accordance with data. We also apply this scheme to high-spin states near the band termination in $ A$$ \sim$44 nuclei, and compare results thereof with experimental data, shell-model calculations, and results of the approximate analytical symmetry-restoration method proposed previously.

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

H. Zdunczuk, W. Satula, J. Dobaczewski, M. Kosmulski

Date: August 8, 2007

Jacek Dobaczewski 2007-08-08