Nuclear interactions in the P_1/2-g_9/2 configurations

Abstract

Zr⁹⁰ offers a very good case for the study of T=1 levels in the p_1/2-g_9/2 subshells and has recently been explored by several authros. Here earlier calculations of Thankappan and Waghmare are extended and analysed in detail. It is found that a simple central two-body interaction can be constructed which will give correctly the energy levels of the (g_9/2)² configuration, and hence also the levels of a (g9/2)ⁿ configuration. However, the same interaction fails to give correctly the levels of the other configurations (p_1/2)(g_9/2) and (p1/2)². This simple two-body nuclear interaction is thus shown to be configuration dependent. It is pointed out that experimental identification of the as yet unobserved 4^- level would be very helpful for further elucidation of this phenomenon. The results are compared with those of the other authors.