Abstract
We discuss the current status of chiral effective field theory in the three-nucleon sector and present selected results for nucleon–deuteron scattering observables based on semilocal momentum-space-regularized chiral two-nucleon potentials together with consistently regularized three-nucleon forces up to third chiral order. Using a Bayesian model for estimating truncation errors, the obtained results are found to provide a good description of the experimental data. We confirm our earlier findings that a high-precision description of nucleon–deuteron scattering data below pion production threshold will require the theory to be pushed to fifth chiral order. This conclusion is substantiated by an exploratory study of selected short-range contributions to the three-nucleon force at that order, which, as expected, are found to have significant effects on polarization observables at intermediate and high energies. We also outline the challenges that will need to be addressed in order to push the chiral expansion of three-nucleon scattering observables to higher orders.
Highlights
[4] and a new generation of accurate and precise chiral effective field theory (EFT) NN potentials up through N4LO has been developed in Refs. [5,6,7,8], see Refs. [9,10,11] for related developments
In this paper we analyzed selected Nd scattering observables at N2LO in chiral EFT based on the semilocal1 momentum-space regularized (SMS) interactions of Ref. [7]
– Using the SMS NN forces of Ref. [7] accompanied with the N2LO 3NF regularized in the same way, we have determined the low-energy constants (LECs) cD and cE entering the 3NF from the 3H binding energy and the Nd cross section data of Ref. [62] at ElNab = 70 MeV
Summary
[4] and a new generation of accurate and precise chiral EFT NN potentials up through N4LO has been developed in Refs. [5,6,7,8], see Refs. [9,10,11] for related developments. [4] and a new generation of accurate and precise chiral EFT NN potentials up through N4LO has been developed in Refs. The potentials developed by our group in Ref. To the nonlocally regularized potentials of Ref. The resulting semilocal momentum-space regularized (SMS) potentials of Ref. [7] are currently the most precise chiral EFT interactions and provide, at the highest order N4LO+2, a nearly perfect and Λ-independent (within the considered cutoff range) description of neutron–proton and proton–proton scattering data below pion production thresh-. The past few years have seen remarkable advances towards pushing the precision frontier of chiral effective field theory (EFT) in the two-nucleon sector; see Refs. The fifth-order (N4LO) contributions to the nucleon-nucleon (NN) force have been worked out in Ref
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