Abstract
The collective quadrupole degree of freedom is described by a SU(6) algebra, generated by five generalized coordinates and conjugated momenta and their commutators. On this basis a collective Hamiltonian is derived where the parameters of the realistic nuclear Hamiltonian (single particle energies, matrix elements of the interaction) appear in terms of a few constants. The algebraic properties of the collective variables lead to a new quantum number N which restricts the maximal number of phonons contained in the collective states. The collective Hamiltonian is applied to the transitional nuclei 152Gd and 150, 152Sm. The transformation into the intrinsic frame of reference yields explicit formulae for the potential energy, the mass coefficients and the moments of inertia in terms of the intrinsic deformation parameters.
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