We examine the quantisation of a collective Hamiltonian for the two-baryon
system derived by us in a previous paper. We show that by increasing the
sophistication of the approximations we can obtain a bound state - or a
resonance - not too far removed from the threshold with the quantum numbers of
the deuteron. The energy of this state is shown to depend very sensitively on
the parameters of the model. Subsequently we construct part of a collective
Hamiltonian for the three baryon system. Large-amplitude quantum fluctuations
play an important r\^ole in the intrinsic wave function of the ground-state,
changing its symmetry from octahedral to cubic. Apart from the tetrahedron
describing the minimum of the potential, we identify a ``doughnut'' and a
``pretzel'' as the most important saddle points in the potential energy
surface. We show that it is likely that inclusion of fluctuations through these
saddle points lead to an energy close to the triton's value.Comment: 32 pages, 19 Postscript figures, uses epsfig.sty and elsart.st