Intrinsic operators and wave functions for the interacting boson model.

Abstract

We use the eigenstate of the shape operators in second quantized form to give a geometrical interpretation to each boson excitation in the interacting boson model. For well-deformed systems a method is presented by which the intrinsic components of any boson number preserving operator can be calculated in second quantized form and to leading order in the boson number. In this way vibrational and rotational modes are identified and the corresponding excitation energies and moments of inertia are calculated to leading order in the boson number. The intrinsic components of the E2 transition operator are also calculated. Using these results several E2 transition rates are calculated to leading order in the boson number.