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We solve the neutron-deuteron (nd) scattering in the Faddeev formalism,employing the NN sector of the quark-model baryon-baryon interaction fss2. Theenergy-dependence of the NN interaction, inherent to the resonating-groupformulation of the quark-model baryon-baryon interaction, is eliminated by thestandard off-shell transformation utilizing the normalization kernel oftwo-cluster systems. An extra nonlocality originating from this procedure isvery important to reproduce all the nd scattering observables below E_n < 65MeV. A new algorithm to solve the Alt-Glassberger-Sandhas (AGS) equations ispresented in the Noyes-Kowalski method. The treatment of the moving singularityfrom the three-body Green function is shown in detail, which is based on thespline function method originally developed by the Bochum-Krakow group. Thepredicted elastic differnetial cross sections reproduce the observed deep crosssection minima at E_n=35-65 MeV and $\theta_{c.m}=130^{\circ}-135^{\circ}$,which is consitent with the nearly correct triton binding energy predicted byfss2 without the three-body force.

Quark-model Baryon-Baryon Interaction Applied to the Neutron-Deuteron Scattering. I Noyes-Kowalski Approach to the AGS Equations