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

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.

13 pages, 4 figures

References in corpus (3)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Subleading contributions to the chiral three-nucleon force I: long-range terms

Cited by in corpus (5)

• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• What Can Possibly Go Wrong?
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms