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

TL;DR

This paper introduces a new angular-momentum projection method for cranked Hartree-Fock states, improving the description of rotational bands and terminating states in A~44 nuclei, with results aligning well with experimental data.

Contribution

The paper presents the first systematic application of angular-momentum projection to cranked Slater determinants, introducing the Iy --> I scheme for better modeling of high-spin states.

Findings

The Iy --> I scheme corrects the cranking moment of inertia at low spins.

It shifts the terminating state energy by ~2 MeV, matching experimental observations.

Results agree with shell-model calculations and previous symmetry-restoration methods.

Abstract

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_y>=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.