Perturbative Treatment of Three-Nucleon Force Contact Terms in Three-Nucleon Faddeev Equations

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.

Automated summary

The study presents a perturbative approach for solving the three-nucleon continuum Faddeev equation, suitable for handling variable strengths of contact terms in a chiral three-nucleon force. Examples in nucleon-deuteron scattering and deuteron breakup reaction demonstrate high precision and capability to reproduce exact results. The perturbative approach significantly reduces computer time compared to exact treatment, making it valuable for fine-tuning three-nucleon Hamiltonian parameters.