The Complex Kohn Variational Method applied to N - d scattering

The three-nucleon ground state and the N–d scattering states are obtained using variational principles. The wave function of the system is decomposed into angular–spin–isospin channels and the corresponding two dimensional spatial amplitudes are expanded in a correlated polynomial basis. For the scattering states, the complex form of the Kohn variational principle is used to determine the S–matrix. Special attention is given to the convergence pattern of the phase–shift and mixing parameters. The calculations have been performed using realistic local NN potentials and three–nucleon forces. Important features of the method are anomaly–free solutions and the low dimensionality of the matrices involved allowing for the inclusion of a large number of states. Very precise and stable numerical results have been obtained.