Inversion of the neutron-deuteron phase shifts obtained from the Faddeev equation

The Marchenko inverse scattering method has been used to construct equivalent local potentials (ELP) for the neutron-deuteron (nd) quartet scattering channel. The phase shifts for the inversion were obtained by employing the Faddeev type Alt-Grassberger-Sandhas formalism for the three-body scattering processes. The input S-matrix is represented by a rational function and the Marchenko integral equation is solved. The potentials obtained are unique, complex, energy-independent and angular-momentum dependent. They could serve as a tool in obtaining physical insight into the dynamics of a composite particle reaction. The complex potential obtained by inversion generates, to all practical purposes, real wave function and phase shift below the break-up threshold. Both become complex above the threshold. The Pauli principle, manifests itself, in the case of the S-waves, in the form of a strongly repulsive real potential part. 37 refs., 24 figs., 6 tabs