Nuclear collective motion with full nonlinearity

The periodic solutions previously considered for nuclear time-dependent Hartree-Fock problems are recalculated by a new method which is more accurate and reliable. It starts from a first guess of the entire periodic trajectory, instead of a first guess of the initial state. An exact solution of the discretized nonlinear equations is then obtained in three to five iterations involving, once again, the entire trajectory. The resulting families of solutions, and in particular the relationship between the period and the energy, are much more complicated than previously thought. The meaning of this outcome is discussed.