Nilsson-Strutinsky model of very high spin states

Population and decay of superdeformed nuclei probed by discrete and quasi-continuum γ-ray spectroscopy

“…Especially, the shell-correction method could explain fission isomers, as well as the stable deformations for mid-shell nuclei. Later, the Strutinsky method was applied in large scale calculations of rotational nuclei, and it was predicted that nuclei in mass regions A ∼ 150 and A ∼ 190 would be SD in certain intervals of angular momentum [99,100,101]. Further insight into the shell structure, favouring a prolate shape with axis ratio 2 : 1, has been provided, based on the special degeneracies of a harmonic oscillator potential [102], alternatively by periodic orbit theory [103].…”

Resolution of the spin paradox in the Nilsson model

“…The levels may cross each other. For the first time, Nilsson [11][12][13][14][15][16][17][18][19][20] formulated such a study, using a modified 3D anisotropic HO with axially symmetric quadrupole deformation [21][22][23][24][25][26][27], to which the spin-orbit interaction is added. Although the spherical coordinates remain convenient for small deformations, it has been realized that for large deformations the cylindrical coordinates become more appropriate, since they offer a suitable basis for the definition of asymptotic quantum numbers [28][29][30][31], which are exact for very large deformations but remain satisfactorily good even at moderate deformations.…”

Systematics of a vibrational effect on the dynamic moments of inertia in superdeformed bands in the mass ≈150 region

“…In addition, at this high spin range (I ≥ 30h), presence of highly mixed j-states presents an interesting domain for theoretical studies. There has been many exhaustive theoretical studies, using mean field models; Woods-Saxon [3], anharmonic oscillator potential [4,5], and Skyrme-Hartree-Fock [6]. Quite a few semi-classical macroscopic models are has also been successful in presenting a good description of the SD bands [7][8][9][10][11].…”