A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES

Abstract：

With a usual choice of the effective nucleon-nucleon interactions consisting of apairing force, a quadrupole pairing force and a quadrupole-quadrupole force, the mic-roscopic approach, as dascribed in our previous work based on the Dyson bosonexpansion and based on the so-called modified Jancovici-Schiff substitution is fol-lowed to obtain a group of eigen-equations for determining the IBM bosons and findthe microscopic expressions of the coefficients appearing in the interaction terms ofthe IBM Hamiltonian. The results given in the present paper can be used directly incalculating the collective spectrum of nuclei with identical valence nucleons outsideclosed shells.