Abstract
A theory of collective motion based on the time-dependent Hartree-Bogolyubov approximation is shown to be possible for the pairing-plus-quadrupole model. It is a non-linear adiabatic theory, which makes it suitable for soft nuclei. The results are very close to those of the cranking theory, but they are not subject to the objections usually made against the latter. Explicit formulae are given for the potential energy, the three moments of inertia and the three vibrational inertial parameters entering Bohr's collective Hamiltonian for arbitrary quadrupole deformations and for the gyromagnetic ratios. A simple extension of the theory is found able to deal with core polarization. The theory has no obvious generalization to two-body forces other than pairing-plus-quadrupole.
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