A new way in few-body scattering calculations: discretized Faddeev equations solved on GPU

V.N. Pomerantsev, V.I. Kukulin, O.A. Rubtsova
Institute of Nuclear Physics, Moscow State University, Leninskie gory, Moscow, 119991, Russia
arXiv:1404.5253 [nucl-th], (21 Apr 2014)



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A new approach towards very fast and economic few-body scattering calculations is described. The general method is realized on three steps: (i) reformulation of the scattering equations using the convenient analytical form for the channel resolvent operator; (ii) the complete few-body continuum discretization and projection of all operators and wave functions onto the $L_2$ type basis constructed from the stationary wave packets and (iii) ultra-fast solution of the resulted matrix equations using graphics processor. The whole approach is illustrated by the calculations of the neutron-deuteron elastic scattering below and above three-body breakup threshold with fully realistic $NN$ potential which are performed on a serial PC using graphics processor for extremely short running time.
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