Calculation of the A=184 F-spin multiplet.

Abstract

Wave functions of sd interacting boson with definite F spin are constructed explicitly according to the group chain U(2N)\ensuremath{\supset}[U(N)\ensuremath{\supset}O(N)\ensuremath{\supset}O(3)]\ensuremath{\bigotimes}SU(2). The model space is truncated with the restriction F=${\mathit{F}}_{\mathrm{max}}$ and F=${\mathit{F}}_{\mathrm{max}}$-1. The model wave functions are used to calculate the energy levels, B(E2) values and B(M1) values for the F-spin multiplet $^{184}\mathrm{W}$, $^{184}\mathrm{Os}$, $^{184}\mathrm{Pt}$, and $^{184}\mathrm{Hg}$. 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. \textcopyright{} 1996 The American Physical Society.