2012/10/31 by L. Zamick, A. Escuderos · 25 citations
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Combinatorics #Mathematics #Neutron #Nuclear physics research studies #Pairing #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Yrast #nucl-th
paper · pdf · doi:10.1103/physrevc.87.044302
published in Physical Review C 87(4) (American Institute of Physics)
arxiv created 2012/12/24 · openalex publication_date 2013/04/03 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We point out a simplicity that arises when we use an interaction in which only an energy with odd J is nonzero. The emphasis is on J=Jmax and in particular J=9+ in the g9/2 shell. It is noted that high overlaps can be deceptive. In many cases a single set of unitary 9-j coefficients gives either an exact or a surprisingly good approximation to the wave function of a nondegenerate state. The many degeneracies that occur in these calculations are discussed and explained. As a counterpoint, we compare the results with an interaction in which both the J=0 and J=Jmax two-body matrix elements are equal (and attractive). Comparisons with a more realistic interaction are also made.