Variational Estimates for Three-Body Systems Using the Hyperspherical Adiabatic Approximation Within the Discrete Variable Approximation

The Discrete Variable Representation (DVR) is used in combination with the Hyperspherical Adiabatic Approximation (HAA) to obtain variational estimates for the solution of the Schrödinger equation for a three-body system. This method is particularly appropriate to study weakly bound systems, such as nuclear or van der Waals complexes. It can be applied to bound states as well as to scattering observables. Applications will be shown for a three-nucleon system using a simple scalar interaction, restricted to the lowest adiabatic curve, and to zero partial angular momenta.