KermanKleinDönauFrauendorf model for oddodd nuclei: Formal theory
Abstract
The KermanKleinDönauFrauendorf (KKDF) model is a linearized version of the nonlinear KermanKlein (equations of motion) formulation of the nuclear manybody problem. In practice, it is a generalization of the standard coreparticle 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 singleparticle properties, which are the input parameters of the model. A divers sample of recent applications attests 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 oddodd nuclei with protonneutron number (Z,N) that relates their properties to those of the four neighboring eveneven nuclei (Z+1,N+1) , (Z1,N+1) , (Z+1,N1) , and (Z1,N1) , all of which are required if one is to include both multipole and pairing forces. We treat these equations in two ways. In the first, we make essential use of the solutions of the neighboring odd nucleus problem, as obtained by the KKDF method. In the second, we relate the properties of the oddodd nucleus directly to those of the eveneven nuclei. For both choices, we derive equations of motion, normalization conditions, and an expression for transition amplitudes. We also resolve the problem of choosing the subspace of physical solutions that arises in an equation of motion approach that includes pairing interactions.
 Publication:

Physical Review C
 Pub Date:
 March 2004
 DOI:
 10.1103/PhysRevC.69.034338
 arXiv:
 arXiv:nuclth/0211012
 Bibcode:
 2004PhRvC..69c4338K
 Keywords:

 21.60.Ev;
 21.60.Cs;
 Collective models;
 Shell model;
 Nuclear Theory
 EPrint:
 27 pages, Latex