The $η$-3N problem with separable interactions

Details The $η$-3N problem with separable interactions The $η$-3N problem with separable interactions

2002-02-27

arxiv.org/abs/nucl-th/0202080v3

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.66.024002

The $\eta$-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 $\eta$-$^3$H scattering amplitude and for the total elastic cross section for energies below the triton break-up threshold.

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