Neutron-deuteron scattering calculations with the Paris potential using theW-matrix representation of the two-body input

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Abstract
Observables of elastic neutron-deuteron scattering are calculated within the framework of the Alt-Grassberger-Sandhas (AGS) three-nucleon equations. As input we use the separable W-matrix representation of the two-body T matrix of the Paris potential. We present a criterion based on the Schmidt norm of the kernel of the AGS equations to optimize this representation. Comparing with an almost complete set of experimental observables, except for a few observables depending sensitively on input not yet fully optimized in this manner, our results generally show good agreement with the data. We thus corroborate previous findings for semirealistic potentials also for realistic interactions, namely that the W-matrix approach provides a very efficient means of calculating three-nucleon scattering processes. Estimates are given showing that this method requires at least an order of magnitude less computational resources than other solution algorithms, without sacrificing accuracy.