Regular spectra in the vibron model with random interactions

Abstract

The phenomenom of emerging regular spectral features from random interactions is addressed in the context of the vibron model. A mean-field analysis links different regions of the parameter space with definite geometric shapes. The results that are, to a large extent, obtained in closed analytic form, provide a clear and transparent interpretation of the high degree of order that has been observed in numerical studies.

19 pages, 8 figures, 2 tables. Physical Review C, in press

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• Many-body Systems Interacting via a Two-body Random Ensemble (I): Angular Momentum distribution in the ground states
• Patterns of the ground states in the presence of random interactions: nucleon systems
• Many-body Systems Interacting via a Two-body Random Ensemble: average energy of each angular momentum
• Emergence of symmetry from random n-body interactions
• Angular momentum I ground state probabilities of boson systems interacting by random interactions
• Eigenvalues correlations and the distribution of ground state angular momenta for random many-body quantum systems
• Order, Collectivity, Structured Yrast Lines, and Correlated Energies in Random Bosonic Systems