Abstract:

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