A further look at prolate dominance in nuclear deformation

Abstract

The observed almost complete dominance of prolate over oblate deformations in the ground states of deformed even-even nuclei is related to the splitting of high $\ell$ "surface" orbits in the Nilsson diagram: on the oblate side the occurrence of numerous strongly avoided crossings which reduce the fanning out of the low $\Lambda$ orbits, while on the prolate side the same interactions increase the fanning out. It is further demonstrated that the prolate dominance is rather special for the restricted particle number of available nuclei and is not generic for finite systems with mean-field potentials resembling those in atomic nuclei.

arXiv comment17 pages and 15 figures. Submitted to Phy. Rev. C

References in corpus (2)

• Extensive Hartree-Fock + BCS calculation with Skyrme SIII force
• Prolate dominance of nuclear shape caused by a strong interference between the effects of spin-orbit and l^2 terms of the Nilsson potential

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