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

We have performed angular momentum projection with double-constrained Hartree-Fock-Bogoliubov wave functions with the Gogny interaction for the 32 Mg . We show that the more relevant degree of freedom is the quadrupole deformation. Minima of the ground state obtained in single-constrained calculations with this operator are hardly modified in double-constrained calculations insuring thereby the stability of the solution.

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Exact angular momentum projection of cranked Hartree-Fock-Bogoliubov wave functions

Nuclear Physics A ◽

10.1016/0375-9474(82)90486-9 ◽

1982 ◽

Vol 385 (1) ◽

pp. 14-28 ◽

Cited By ~ 77

Author(s):

K. Hara ◽

A. Hayashi ◽

P. Ring

Keyword(s):

Angular Momentum ◽

Wave Functions ◽

Angular Momentum Projection ◽

Hartree Fock

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d3/2 hole states in scandium isotopes

Canadian Journal of Physics ◽

10.1139/p70-152 ◽

1970 ◽

Vol 48 (10) ◽

pp. 1208-1213 ◽

Cited By ~ 13

Author(s):

I. P. Johnstone

Keyword(s):

Angular Momentum ◽

Binding Energies ◽

Wave Functions ◽

Angular Momentum Projection ◽

Hartree Fock ◽

Spectroscopic Factors ◽

Higher Spin ◽

Hole Interaction ◽

Titanium Isotopes

Hole states in scandium isotopes are investigated by coupling a d3/2 hole to low-lying states of the neighboring titanium isotopes. Titanium wave functions are obtained by angular momentum projection from 1f2p-shell Hartree–Fock intrinsic states, and diagonalizations are carried out using the Gillet and Sanderson particle–hole interaction. The binding energies of the 3/2 + states in 43Sc, 45Sc, and 47Sc are well reproduced, as is the spacing between higher-spin levels of the K = 3/2 bands, and the polarization of the titanium cores has approximately the magnitude needed to account for the long M2 lifetimes. The model fails to give any low-lying hole states in 44Sc, but a calculation of spectroscopic factors does account for the absence of observable l = 2 strength below 1.6 MeV in the 43Ca(3He,d)44Sc reaction.

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STUDY OF THE K-MIXING EFFECT THROUGH ANGULAR MOMENTUM PROJECTION

International Journal of Modern Physics E ◽

10.1142/s0218301308011847 ◽

2008 ◽

Vol 17 (supp01) ◽

pp. 177-191

Author(s):

MAKITO OI

Keyword(s):

Angular Momentum ◽

Fourier Analysis ◽

Quantum Number ◽

Projection Technique ◽

Triaxial Deformation ◽

Angular Momentum Projection ◽

Mixing Effect ◽

Hartree Fock ◽

Fock State

The K-mixing effect is investigated for triaxial deformation through the angular momentum projection technique. The mathematical nature of the norm overlap kernels is discussed in terms of the Fourier analysis. A relation between the signature symmetry and the K quantum number is discussed. A non-cranked Hartree-Fock state is shown to be a K=0 dominating state. The spread of the K distribution happens in a symmetrical manner and the K-mixing is enhanced as triaxial deformation is enlarged. On the contrary, the J=0 component is contained only slightly against a naive expectation.

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Direct Reaction Inelastic Proton Scattering from 20Ne

Australian Journal of Physics ◽

10.1071/ph760233 ◽

1976 ◽

Vol 29 (4) ◽

pp. 233 ◽

Cited By ~ 5

Author(s):

K Amos ◽

P Nesci ◽

R Smith

Keyword(s):

Angular Momentum ◽

Direct Reaction ◽

Proton Scattering ◽

Minimal Energy ◽

Axially Symmetric ◽

Giant Resonances ◽

Angular Momentum Projection ◽

Hartree Fock ◽

Inelastic Proton Scattering ◽

Transition Amplitudes

The transition amplitudes for direct reaction inelastic proton scattering from nuclei are formulated using target spectroscopy given by angular momentum projection from axially symmetric minimal energy Hartree-Fock intrinsic states of N = Z nuclei. Applications to the scatterings from 20Neare made, from which the importance of virtual excitations of giant resonances is evident.

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