$SU(3)$ coupling schemes for odd-odd nuclei in the interacting boson – fermion – fermion model with both odd proton and odd neutron in natural parity orbits

V.K.B. Kota; U. Datta Pramanik

doi:doi:10.1007/s100500050174

EPJ

SU(3) coupling schemes for odd-odd nuclei in the interacting boson - fermion - fermion model with both odd proton and
odd neutron in natural parity orbits

V.K.B. Kota¹ - U. Datta Pramanik²

¹ Physical Research Laboratory, Ahmedabad 380 009, India
² Saha Institute of Nuclear Physics, Calcutta 700 064, India

Received: 22 June 1998 Communicated by P. Schuck

Abstract
The SU^BFF(3) dynamical symmetry limits of interacting boson - fermion - fermion model are identified and they are appropriate for heavy deformed odd - odd nuclei for configurations with both the odd proton and odd neutron occupying all the natural parity orbits in the corresponding valence shells. There are three symmetry limits and their correspondence with two quasi-particle (proton-neutron) Nilsson configurations is established; one of the limits mixes both Nilsson n_z's and $\Lambda$ 's and other two limits mix only Nilsson $\Lambda$ 's. The ¹⁹¹Ir (d,t) ¹⁹⁰Ir single nucleon transfer spectroscopic strengths are well described by one of the symmetry limits that mixes only Nilsson $\Lambda$ 's.

PACS
21.10.Jx Spectroscopic factors - 21.60.Ev Collective models - 21.60.Fw Models based on group theory - 27.80.+w $190 \le A \le 219$

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