Kerman-Klein-Dönau-Frauendorf model for odd-odd nuclei: formal theory

The Kerman-Klein-Dönau-Frauendorf (KKDF) model is a linearized version of the non-linear Kerman-Klein (equations of motion) formulation of the nuclear many-body problem. In practice, it is a generalization of the standard core-particle coupling model that, like the latter, provides a description of the spectroscopy of odd nuclei in terms of the corresponding properties of neighboring even nuclei and of single-particle properties, that are the input parameters of the model. A divers sample of recent applications attest to the usefulness of the model. In this paper, we first present a concise general review of the fundamental equations and properties of the KKDF model. We then derive a corresponding formalism for odd-odd nuclei with proton-neutron number (Z,N) that relates their properties to those of the four neighboring even nuclei (Z +1, N +1), (Z − 1, N +1), (Z +1, N − 1), and (Z − 1, N − 1), all of which are required if one is to include both multipole and pairing forces. Email:[email protected] Email:[email protected] Email:[email protected] Email:[email protected]