A new puzzle for random interaction

Abstract

We continue a series of numerical experiments on many-body systems with random two-body interactions, by examining correlations in ratios in excitation energies of yrast $J$ = 0, 2, 4, 6, 8 states. Previous studies, limited only to $J$ = 0,2,4 states, had shown strong correlations in boson systems but not fermion systems. By including $J\ge 6$ states and considering different scatter plots, strong and realistic correlations appear in both boson and fermion systems. Such correlations are a challenge to explanations of random interactions.

4 pages, 4 figures

References in corpus (3)

• Regularities of Many-body Systems Interacting by a Two-body Random Ensemble
• Distribution of spectral widths and preponderance of spin-0 ground states in nuclei
• The Two-Body Random Ensemble in Nuclei

Cited by in corpus (5)

• Predominance of Prolate Nuclear Deformations Emerging from Many-Body Interactions
• Emergence of symmetry from random n-body interactions
• Quadrupole collectivity in random two-body ensembles
• 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