N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions

TL;DR

This paper applies the hyperspherical harmonic method to neutron-deuteron scattering, incorporating various realistic local and non-local nuclear interactions, and compares theoretical predictions with experimental data.

Contribution

It introduces a comprehensive approach combining multiple realistic interactions within the hyperspherical harmonic framework for N-d scattering analysis.

Findings

Accurate scattering observables calculated at various energies.

Comparison of different Hamiltonian models with experimental data.

Chisquared analysis to evaluate model performance.

Abstract

The application of the hyperspherical harmonic approach to the case of the N-d scattering problem below deuteron breakup threshold is described. The nuclear Hamiltonian includes two- and three-nucleon interactions, in particular the Argonne v_{18}, the N3LO-Idaho, and the V_{low k} two-nucleon, and the Urbana IX and N2LO three-nucleon interactions. Some of these models are local, some are non-local. Also electromagnetic effects are included. Accurate calculations for many scattering observables at various center-of-mass energies are performed and the results are compared with the available experimental data. Furthermore, a \chi^2 analysis of some of the Hamiltonian models has been performed to compare their capability to describe the scattering process.