Rotational bands in the u(3)-boson model

Abstract

It is shown how the u(3)-boson model with a nonscalar su(3) lowest-weight state can generate low-lying rotational bands and that it does so by the addition of vorticity degrees of freedom to the Bohr-Mottelson irrotational flow model. The model is applied to $^{20}\mathrm{Ne}$ with a $(\ensuremath{\lambda},\ensuremath{\mu})=(8,0)$ lowest-weight state and compared both with experiment and with its fully microscopic $\mathrm{sp}(3R)$ counterpart. It is shown that one can easily obtain $B(E2)$ values with the experimentally required enhancements over the simple su(3) model.NUCLEAR STRUCTURE sp(3,R), sp(6,R), su(3), collective theory, boson models.