Random versus realistic interactions for low-lying nuclear spectra - art. no. 062501

We compare the shell-model results for realistic interactions with those ob tained for various ensembles of random matrix elements. We show that, altho ugh the quantum numbers of the ground states in the even-even nuclei have a high probability (similar to 60%) to be J(pi)T = 0(+)0, the overlap of tho se states with the realistic wave functions is very small in average. The t ransition probabilities B(E2) predicted with random interactions are also t oo small. The presence of the regular pairing is shown to be a significant element of realistic physics not reproduced by random interactions.