6533b860fe1ef96bd12c30dd

RESEARCH PRODUCT

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

M. KosmulskiH. ZdunczukW. SatułaJacek DobaczewskiJacek Dobaczewski

subject

PhysicsNuclear and High Energy PhysicsAngular momentumNuclear TheorySpinsNuclear TheoryNuclear structureHartree–Fock methodFOS: Physical sciencesMoment of inertiaNuclear Theory (nucl-th)Projection (relational algebra)Slater determinantAtomic physicsSpin (physics)

description

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.

https://doi.org/10.1103/physrevc.76.044304