A further look at prolate dominance in nuclear deformation

Details A further look at prolate dominance in nuclear deformation A further look at prolate dominance in nuclear deformation

2009-03-05

arxiv.org/abs/0903.0973v1

Phys.Rev.C79:034317,2009

Physics

Nuclear Physics

Nuclear Theory

17 pages and 15 figures. Submitted to Phy. Rev. C

Scientific paper

10.1103/PhysRevC.79.034317

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.

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