THREE-NUCLEON CONTINUUM STATES WITHIN THE HYPERSPHERICAL ADIABATIC METHOD

The Hyperspherical Adiabatic Method are used to describe the scattering states of a three-body system. We exploit the well know fact that the Adiabatic Functions describe asymptotically the scattering states of the system, both below and above the breakup threshold. In order to obtain an accurate description of the Adiabatic basis at large ρ we follow closely the procedure indicated by Nielsen and co-workers. The scattering wave function is expanded in terms of the Adiabatic basis and the S-matrix is obtained variationally by means of the Khon variational principle. We show two simple numerical applications of the method for the study of a three-nucleon system with a pure central interaction and a realistic potential.