CORRESPONDENCE BETWEEN THE SU(3)CIRCLE-TIMES-U(2) LIMIT OF IBF(2)M AND 2 QUASI-PARTICLE NILSSON CONFIGURATIONS

In the SU(3) X U(2) limit of the interacting boson two-fermion model (IBF2M), appropriate for the description of rotational bands built on two quasi-particle excitations in heavy even-even deformed nuclei, the group chain and the basis states are given. In the large boson number limit, exact correspondence between the Bose-Fermi SU(3) representations in this limit and the two quasi-particle Nilsson configurations is established using SU(3) superset-of SU(2) X U(1) reduced Wigner coefficients.