Minimal theory of isomerism- Q.Q and other interactions

Abstract

Abstract We perform shell model calculations using a quadrupole-quadrupole interaction (Q.Q) in a single j shell space. We show that this one-parameter interaction is a good predictor of where nuclear isomerism occurs and where it does not occur. The limitations of this interaction are also discussed. We then include other interactions, e.g. in the f 7 / 2 shell those obtained from the (local) spectrum of a two particle system and then from a two hole system. In the g 9 / 2 where there is insufficient empirical data from the two hole system and so various empirical interactions are used.