Abstract

Recently developed chiral two-nucleon (2N) potentials are applied to various processes in three-nucleon (3N) systems within the approach based on Faddeev equations. The predictions for the cross sections in elastic nucleon-deuteron (Nd) scattering and for radiative proton-deuteron (pd) capture are similar to results based on the AV18 potential. The very good convergence with respect to the chiral expansion and a weak dependence on a regularization parameter are observed. This gives hope that the Hamiltonian combining these 2N potentials with consistent 3N forces will become an important tool to study nuclear structure and processes.

Highlights

  • The improved 2N forces up to next-to-next-to-next-to-next-to leading order (N4LO) were derived by the Bochum-Bonn group [1, 2]

  • The values of low energy constants (LECs) which occur in the long-range part of the interactions are taken directly from the pion-nucleon data without any fine tuning as it was done in older versions of the chiral NN potential

  • The non-local regulator in momentum space, which was used in the previous versions, is replaced by a local regulator in coordinate space

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Summary

Introduction

The improved 2N forces up to next-to-next-to-next-to-next-to leading order (N4LO) were derived by the Bochum-Bonn group [1, 2]. The values of LECs which occur in the long-range part of the interactions are taken directly from the pion-nucleon data without any fine tuning as it was done in older versions of the chiral NN potential. The non-local regulator in momentum space, which was used in the previous versions, is replaced by a local regulator in coordinate space This allows one for a better control of regularization artifacts. [1, 2] have been recently applied to 2N scattering and to the Nd scattering reactions [3] This very first application proves usefulness of the chiral forces [1, 2] in describing properties and processes in the 3N systems. The weak dependence on the value of the regularization parameter increases the predictive power of the new forces compared to the older ones [4]

Elastic neutron-deuteron scattering
The radiative proton-deuteron capture reaction
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