The RPA and restoration of translational symmetry of the Hamiltonian of a rotating nucleus

Abstract

Using the space translation invariance of the nuclear Hamiltonian the residual interaction for the rotating nucleus is constructed. The nuclear Hamiltonian thus obtained is used to describe negative-parity states near the yrast line within the random-phase approximation (RPA). The connection between the Goldstone modes of motion (spurious states) and the symmetries of equations of motion for the negative-parity states near the yrast line is found.