Deformed Gaussian Orthogonal Ensemble Analysis of the Interacting Boson Model

Details Deformed Gaussian Orthogonal Ensemble Analysis of the Interacting Boson Model Deformed Gaussian Orthogonal Ensemble Analysis of the Interacting Boson Model

1993-11-11

arxiv.org/abs/nucl-th/9311011v2

Phys.Rev.C49:2919-2923,1994

Physics

Nuclear Physics

Nuclear Theory

10 pages, 4 figures (avaiable upon request), IFUSP/P-1086 Replaced version: in the previous version the name of one of the aut

Scientific paper

10.1103/PhysRevC.49.2919

A Deformed Gaussian Orthogonal Ensemble (DGOE) which interpolates between the Gaussian Orthogonal Ensemble and a Poissonian Ensemble is constructed. This new ensemble is then applied to the analysis of the chaotic properties of the low lying collective states of nuclei described by the Interacting Boson Model (IBM). This model undergoes a transition order-chaos-order from the $SU(3)$ limit to the $O(6)$ limit. Our analysis shows that the quantum fluctuations of the IBM Hamiltonian, both of the spectrum and the eigenvectors, follow the expected behaviour predicted by the DGOE when one goes from one limit to the other.

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