Calculations of nd-scattering cross-sections by Faddeev's method with a hyperspherical basis

An approximate method for calculating nd-scattering cross-sections at energies below the deuteron breakup threshold has been developed. We have calculated nd-scattering cross-sections for the energy of bombarding neutron ranging from 1.0 to 2.5 MeV. The developed approach enables the problem of finding a three-nucleon wave function for the continuous spectrum with nonseparable interaction to be reduced to the problem of solving a one-dimensional integral equation. This circumstance makes it drastically different from the methods based on the direct numerical solution of two-dimensional integral equations in the momentum representation