Distribution of spectral widths and preponderance of spin-0 ground states in nuclei

Abstract

We use a single j-shell model with random two-body interactions to derive closed expressions for the distribution of and the correlations between spectral widths of different spins. This task is facilitated by introducing two-body operators whose squared spectral widths sum up to the squared spectral width of the random Hamiltonian. The spin-0 width is characterized by a relatively large average value and small fluctuations while the width of maximum spin has the largest average and the largest fluctuations. The approximate proportionality between widths and spectral radii explains the preponderance of spin-0 ground states.

4 pages, 4 eps figures

Cited by in corpus (10)

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• The Two-Body Random Ensemble in Nuclei
• Origin of chaos in the spherical nuclear shell model: role of symmetries
• Patterns of the ground states in the presence of random interactions: nucleon systems
• Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements
• Emergence of symmetry from random n-body interactions
• Lowest Eigenvalues of Random Hamiltonians
• Abundance of Ground States with Positive Parity
• Energy Centroids in the presence of random interactions
• Energy Centroids of Spin $I$ States by Random Two-body Interactions