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