2011/03/21 by Calvin W. Johnson, Johnson, Calvin W.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1103.4161
openalex publication_date 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
All nuclei with even numbers of protons and of neutrons have ground states with zero angular momentum. This is ascribed to the pairing force between nucleons, but simulations with random interactions suggest a much broader many-body phenomenon. In this Letter I project out random Hermitian matrices that have good quantum numbers and, computing the width of the Hamiltonian in subspaces, find ground states dominated by low quantum numbers, e.g. J=0. Furthermore I find odd-Z, odd-N systems with isospin conservation have relatively fewer J=0 ground states.