Perturbative treatment of three-nucleon force contact terms in three-nucleon Faddeev equations

TL;DR

This paper introduces a perturbative method for efficiently solving three-nucleon Faddeev equations, enabling precise calculations of scattering observables and facilitating the tuning of three-nucleon force parameters.

Contribution

A novel perturbative approach to solving three-nucleon Faddeev equations that reduces computational effort while maintaining high accuracy.

Findings

High precision in reproducing exact results

Significant reduction in computational time

Effective for tuning three-nucleon Hamiltonian parameters

Abstract

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of observables in the elastic nucleon-deuteron scattering as well as in the deuteron breakup reaction to demonstrate high precision of the proposed procedure and its capability to reproduce exact results. A significant reduction of computer time achieved by the perturbative approach in comparison to exact treatment makes this approach valuable for fine-tuning of the three-nucleon Hamiltonian parameters.