Mixtures ofF-spin symmetries in Sm isotopes

Abstract

A truncation scheme of interaction boson model 2 with an F-spin value equal to ${\mathit{F}}_{\mathrm{max}}$ and ${\mathit{F}}_{\mathrm{max}}$-1 is suggested. Wave functions with definite F-spin values are constructed. The boson coefficients of fractional parentage with F spin are calculated by a group theoretical method. The model is applied to calculate the energy levels, B(E2) values, and B(M1) values of the Sm isotopes. It was found that the energy levels including the lowest ${1}^{+}$ states can be reproduced quite well. The B(E2) and B(M1) values can be produced reasonably well.