Studies of the classical energy limit of the interacting boson model in the case of three-body interactions

In this study of the classical energy limit of an interacting boson model with three-body interactions, two variants are considered: the inclusion of cubic d-boson interaction terms and the inclusion of three-body O(6) symmetric quadrupole operator terms. The solutions of the corresponding energy minimum condition equations are used for analysis of the triaxiality of the nuclear shape in the first case and for analysis of spherical - prolate - oblate shape phase transitions in the second case.