THE COMPLEX KOHN VARIATIONAL METHOD APPLIED TO N-D SCATTERING

The three-nucleon ground state and the N-d scattering states are obtai ned using variational principles. The wave function of the system is d ecomposed into angular-spin-isospin channels and the corresponding two dimensional spatial amplitudes are expanded in a correlated polynomia l basis. For the scattering states, the complex form of the Kohn varia tional principle is used to determine the S-matrix. Special attention is given tc, the convergence pattern of the phase-shift and mixing par ameters. The calculations have been performed using realistic local NP I potentials and three-nucleon forces, Important features of the meth od are anomaly-free solutions and the low dimensionality of the matric es involved allowing for the inclusion of a large number of states, Ve ry precise and stable numerical results have been obtained. (C) 1997 E lsevier Science B.V.