Abstract
Corrections to the potential and kinetic part of the collective hamiltonian due to particle-number projection have been derived within the generator-coordinate plus generalized gaussian-overlap (GCM + GOA) approach. The collective Schrödinger equation was constructed from the single-particle plus pairing hamiltonian using BCS generating functions. This approximation, connected with a rotation in gauge space, turns out to yield results very close to those of an exact particle-number projection. No corrections to the mass parameters were found. The GCM approach to the particle-number projection is simply generalized to restoring any broken symmetry, such as e.g. angular-momentum projection.
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