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In this work we present a framework that allows to solve the Faddeevequations for three-nucleon scattering using the wave-packetcontinuum-discretization method. We perform systematic benchmarks using resultsin the literature and study in detail the convergence of this method withrespect to the number of wave packets. We compute several different elasticneutron-deuteron scattering cross-section observables for a variety of energiesusing chiral nucleon-nucleon interactions. For the interaction$\text{N2LO}_{\text{opt}}$ we find good agreement with data for nucleonscattering-energies $E_\text{Lab} \leq 70$ MeV and a slightly larger maximum ofthe neutron analyzing power $A_y(n)$ at $E_\text{Lab} = 10$ MeV and 21 MeVcompared with other interactions. This work represents a first step towards asystematic inclusion of three-nucleon scattering observables in theconstruction of next-generation nuclear interactions.

Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization