DEFORMED GAUSSIAN ORTHOGONAL ENSEMBLE ANALYSIS OF THE INTERACTING BOSON MODEL

Citation
Mp. Pato et al., DEFORMED GAUSSIAN ORTHOGONAL ENSEMBLE ANALYSIS OF THE INTERACTING BOSON MODEL, Physical review. C. Nuclear physics, 49(6), 1994, pp. 2919-2923
Citations number
16
Categorie Soggetti
Physics, Nuclear
ISSN journal
05562813
Volume
49
Issue
6
Year of publication
1994
Pages
2919 - 2923
Database
ISI
SICI code
0556-2813(1994)49:6<2919:DGOEAO>2.0.ZU;2-6
Abstract
A deformed Gaussian orthogonal ensemble (DGOE) which interpolates betw een the Gaussian orthogonal ensemble and a Poissonian ensemble is cons tructed. This ensemble is applied to the analysis of the chaotic prope rties of the low lying collective states of nuclei described by the in teracting boson model (IBM). This model undergoes a transition order-c haos-order from the SU(3) limit to the O(6) limit. It is shown that th e quantum fluctuations of the IBM Hamiltonian follow the behavior pred icted by the DGOE when one goes from one limit to the other.