The routhian in 'gauge' space

Formulae are presented for the construction of ''double'' routhians from which both the configuration- and ''gauge''-space collective energies have been removed. Such values are constructed for a series of ytterbium isotopes varying in mass from 159 to 170 and are presented as a function of lambdasub(n) for constant (h/2π)ω, and as a function of (h/2π)ω for constant lambdasub(n). This analysis indicates the presence of sizable correlations for the lowest (π,α)=(+,0) configuration (and to a lesser extent for the lowest (+,1/2) configuration) at the largest rotational frequencies for which such an analysis can be accomplished. An empirical spectrum of single-neutron states is constructed from values of lambdasub(n) and is compared both to a similar spectrum of states constructed from excitation energy differences and to cranking-model calculations. (orig.)