1. Chaoticity and shell effects in the nearest-neighbor distributions for an axially-symmetric potential
- Author
-
J. P. Blocki and A. G. Magner
- Subjects
Surface (mathematics) ,Physics ,Nuclear and High Energy Physics ,Angular momentum ,Shell (structure) ,Poisson distribution ,Molecular physics ,Projection (linear algebra) ,k-nearest neighbors algorithm ,symbols.namesake ,Classical mechanics ,symbols ,Wigner distribution function ,Axial symmetry - Abstract
Statistics of the single-particle levels in a deformed Woods-Saxon potential is analyzed in terms of the Poisson and Wigner nearest-neighbor distributions for several deformations and multipolarities of its surface distortions. We found the significant differences of all the distributions with a fixed value of the angular momentum projection of the particle, more closely to the Wigner distribution, in contrast to the full spectra with Poisson-like behavior. Important shell effects are observed in the nearest neighbor spacing distributions, the larger the smaller deformations of the surface multipolarities.
- Published
- 2012