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Shell-model analysis of calcium isotopes

1961; Elsevier BV; Volume: 23; Linguagem: Inglês

10.1016/0029-5582(61)90254-1

1873-1546

Henri E. Mitler,

Atomic and Molecular Physics

An intermediate shell model calculation is made for Ca 42 and Ca 43. The effective two-body (static) internucleon potential, acting among the neutrons outside the Ca 40 core, is phenomenologically obtained by fitting the known energy levels of 42 and 43. The fit to eight levels is fair, the rms deviation being 124 keV. The potential is found to differ strongly from that expected from nucleon-nucleon scattering experiments: it is long-, rather than short-ranged, has a weak repulsive (rather than attractive) triplet odd part, and a strong, attractive (rather than weak, repulsive) tensor part. The fit to the energy levels is nevertheless better than what has been obtained heretofore. A comparison of the calculated electromagnetic transition probabilities indicates a considerable amount of surface-particle coupling, indicating a strong admixture of one of the core states. A theorem is derived which facilitates computation of tensor force matrix elements in j−j coupling.