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.
Highlights
The nuclear force problem is the basic one for understanding nuclear phenomena
Extensive efforts based on purely phenomenological approaches or incorporating the meson-exchange picture have led to numerous nucleonnucleon (NN) potentials, able to describe with high precision a vast amount of available data [1]
The advent of QCD gave a new impetus to the derivation of nuclear forces and a major breakthrough occurred with the emergence of the effective field theory (EFT) concept and publishing of S
Summary
The nuclear force problem is the basic one for understanding nuclear phenomena. Since the birth of nuclear physics it has been at the centre of experimental and theoretical studies. For the contact interactions the Bochum-Bonn NN force employs a simple Gaussian nonlocal momentum-space regulator with the cutoff = 2R−1 Potentials of both groups are available for a number of regularization parameters. 23 Page 2 of 9 group [12], developed up to N4LO and even including some terms from the order of chiral expansion (N4LO+) In this potential a new momentum-space regularization scheme has been employed for the longrange contributions and a nonlocal Gaussian regulator has been applied to the minimal set of independent contact interactions. Using chiral 3NF’s in 3N continuum requires numerous time consuming computations with varying strengths of the contact terms in order to establish their values They can be determined for example from the 3H binding energy and the minimum of the elastic Nd scattering differential cross section at the energy (Elab ≈ 70 MeV), where the effects of 3NF start to emerge in elastic Nd scattering [26,28].
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