Emergence of symmetry from random n-body interactions

Abstract

An ensemble with random n-body interactions is investigated in the presence of symmetries. A striking emergence of regularities in spectra, ground state spins and isospins is discovered in both odd and even-particle systems. Various types of correlations from pairing to spectral sequences and correlations across different masses are explored. A search for interpretation is presented.Comment: 5 pages, 3 figure