Abstract

Closed forms for the many-body matrix elements of the pairing-plus-quadrupole hamiltonian can be obtained within the framework of the nuclear field theory, making the ansatz that pairs of fermions can only couple to λ = 0 and λ = 2. This ansatz, which otherwise is hardly justified, leads to strong simplifications in the calculations. The resulting model seems to be very similar to a microscopic version of the interacting boson model.

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