2000/12/31 by Shadow J. Q. Robinson, S. J. Q. Robinson, Larry Zamick +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Nuclear physics research studies #nucl-th
paper · pdf · doi:10.1103/physrevc.63.064316
arxiv created 2001/01/19 · openalex publication_date 2001/05/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The effects of setting all T=0 two body interaction matrix elements equal to a constant (or zero) in shell model calculations (designated as 〈T=0〉=0) are investigated. Despite the apparent severity of such a procedure, one gets fairly reasonable spectra. We find that using 〈T=0〉=0 in single-j shell calculations degeneracies appear, e.g., the I=(1)/(2)^\ensuremath- and (13)/(2)^\ensuremath- states in 43Sc are at the same excitation energies; likewise the I=32+,72+,91+, and 101+ states in 44Ti. The above degeneracies involve the vanishing of certain 6j and 9j symbols. The symmetry relations of Regge are used to explain why these vanishings are not accidental. Thus for these states the actual deviation from degeneracy are good indicators of the effects of the T=0 matrix elements. A further indicator of the effects of the T=0 interaction in an even-even nucleus is to compare the energies of states with odd angular momentum with those that are even.