Degeneracies when T=0 two body matrix elements are set equal to zero and Regge's 6j symmetry relations - art. no. 064316

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) in single-j shell calculations degeneracies appear, e.g., the I=1/2( -) and 13/2(-) states in Sc-43 are at the same excitation energies; likewis e the I = 3(2)(+), 7(2)(+), 9(1)(+), and 10(1)(+) state in Ti-44. The above degeneracies involve the vanishing of certain 6j and 9j symbols. the symme try relations of Regge are used to explain why these vanishing are not acci dental. Thus for these states the actual deviation from degeneracy are good indicators of the effect of the T = 0 matrix elements. A further indicator of the effects of the T = 0 interaction in an even-even nucleus is to comp are the energies of states with odd angular momentum with those that are ev en.