Application of a semimicroscopic core-particle coupling method to the backbending in odd deformed nuclei

In two previous papers, the Kerman-Klein-Dönau-Frauendorf model was used to study rotational bands of odd deformed nuclei. Here we describe backbending for odd nuclei using the same model. The backbending in the neighboring even nuclei is described by a phenomenological two-band model, and this core is then coupled to a large single-particle space, as in our previous work. The results obtained for energies and M1 transition rates are compared with experimental data for ¹⁶⁵Lu and for energies alone to the experimental data for ¹⁷⁹W. For the case of ¹⁶⁵Lu comparison is also made with previous theoretical work. © 1996 The American Physical Society.