Solution of n-$^4$He elastic scattering problem using Faddeev-Yakubovsky equations
Rimantas Lazauskas
TL;DR
This paper presents the first numerical solution to the five-body Faddeev-Yakubovsky equations, testing realistic nucleon-nucleon interactions for low-energy neutron scattering on helium-4 and comparing results with existing Schrödinger equation solutions.
Contribution
It introduces a novel numerical approach to solve five-body Faddeev-Yakubovsky equations for nuclear scattering problems.
Findings
Successfully solved five-body Faddeev-Yakubovsky equations.
Validated results against existing Schrödinger equation solutions.
Demonstrated applicability of modern nucleon-nucleon Hamiltonians.
Abstract
The first ever numerical solution of five-body Faddeev-Yakubovsky equations is presented in this work. Modern realistic Nucleon-Nucleon Hamiltonians have been tested when describing low energy elastic neutron scattering on He nucleus. Obtained results have been compared with those available in the literature and based on solution of the Schr\"odinger equation.
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