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

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

2007-07-20

arxiv.org/abs/0707.3130v1

Phys.Rev.C76:044304,2007

Physics

Nuclear Physics

Nuclear Theory

9 RevTeX pages, 8 EPS figures, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.76.044304

We present the first systematic calculations based on the angular-momentum projection of cranked Slater determinants. We propose the Iy --> I scheme, by which one projects the angular momentum I from the 1D cranked state constrained to the average spin projection of =I. Calculations performed for the rotational band in 46Ti show that the AMP Iy --> 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.

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