The $\hat{I}\cdot$-3N problem with separable interactions

Abstract

The $\hat{I}\cdot$-3N-interaction is studied within the four-body Faddeev-Yakubovsky theory adopting purely separable forms for the two- and three-body subamplitudes, limiting the basic two-body interactions to s-waves only. The corresponding separable approximation for the integral kernels is obtained by using the Hilbert-Schmidt procedure. Results are presented for the $\hat{I}\cdot$-${}^3$H scattering amplitude and for the total elastic cross section for energies below the triton break-up threshold.

revised version accepted for Phys. Rev. C, 16 pages revtex including 6 eps-figures, formal part shortened