Calculation of the A=184 F-spin multiplet

Wave functions of sd interacting boson with definite F spin are constructed explicitly according to the group chain U(2N)improper superset[U(N)improper supersetO(N)improper supersetO(3)]circle-times SU(2). The model space is truncated with the restriction F=Fmax and F=Fmax-1. The model wave functions are used to calculate the energy levels, B(E2) values and B(M1) values for the F-spin multiplet 184W, 184Os, 184Pt, and 184Hg. It was found that the energy spectra can be reproduced quite well and the B(E2) and B(M1) values can be reproduced reasonably well. The F-spin configuration characteristics of the energy eigenfunctions are discussed. The truncation scheme is an efficient way to reduce the model space of IBA-2 and can be extensively employed to do practical calculations in the framework of IBA-2. copyright 1996 The American Physical Society