STRONG COUPLED AND DOUBLY DECOUPLED BANDS IN THE SUBF(3)CIRCLE-TIMES-U-F(2J-FERMION-FERMION MODEL(1) LIMIT OF INTERACTING BOSON)

The quantum numbers labelling the basis states and the corresponding s trong coupled wavefunctions in the SUBF(3) x U-F(2j + 1) limit of inte racting boson - fermion - fermion model are given. This dynamical symm etry limit is appropriate for heavy deformed odd - odd nuclei for conf igurations with one of the odd particle (proton or neutron) occupying all the natural parity orbits in the corresponding valence shell and t he other particle occupying a single j - orbit. A boson - fermion - fe rmion interaction that can change the positions of the strong coupled bands without admiring and generate degenerate quadruplet of bands is constructed. A simple spin - spin and spin - orbital interaction that splits and changes the positions of the members of the quadruplet of b ands is given. Adding a coriolis term to the hamiltonian generates dou bly decoupled bands such as those seen in Re-176 nucleus.