Wave-packet continuum discretisation for nucleon–nucleon scattering predictions

Abstract In this paper we analyse the efficiency, precision, and accuracy of computing elastic nucleon–nucleon (NN) scattering amplitudes with wave-packet continuum discretisation method (WPCD). This provides approximate solutions at multiple energies simultaneously. We therefore utilise a graphics processing unit to explore benefits inherent parallelism. From theoretical perspective, WPCD promises speedup compared standard matrix-inversion method. use chiral NNLO opt interaction demonstrate that enables efficient computation NN provided one can tolerate an averaged error 1–5 mb in total cross section 0–350 MeV laboratory frame reference. Considering only ∼40–350 MeV, find smaller ≲ 1–2 mb. By increasing number wave-packets further reduce overall error. However, parallel leverage will be offset by increased size resulting mesh. practice, GPU-implementation is mainly advantageous for matrices fit fast on-chip shared memory. promising computationally efficient, statistical analyses nuclear interactions from effective field theory, where Bayesian inference methods incorporate relevant uncertainties.