Abstract
Results on three-nucleon (3N) elastic scattering and breakup below the pion production threshold are discussed. The large discrepancies found between a theory based on numerical solutions of 3N Faddeev equations with standard nucleon-nucleon (NN) potentials only and data point to the need for three-nucleon forces (3NF’s). This notion is supported by the fact that another possible reason for the discrepancies in elastic nucleon-deuteron (Nd) scattering, relativistic effects, turned out to be small. Results for a new generation of chiral NN forces (up to N 4 LO) together with theoretical truncation errors are shown. They support conclusions obtained with standard NN potentials
Highlights
In nuclear physics the Hamiltonian has been taken in a nonrelativistic form in which pairwise interactions between nucleons are supplemented by 3NF’s for systems with more than two nucleons
It was natural to look for an explanation of resulting underbinding by introducing 3NF’s such as the Urbana IX (UIX) [4] or the Tucson-Melbourne (TM) model [5] into the nuclear Hamiltonian
With increasing order the uncertainties become very small and very precise predictions are provided at N3LO and N4LO
Summary
In nuclear physics the Hamiltonian has been taken in a nonrelativistic form in which pairwise interactions between nucleons are supplemented by 3NF’s for systems with more than two nucleons. This significantly reduced finite-cutoff artefacts of the nonlocal momentum-space regulator used in [6,7] allowing us to apply the improved forces to higher energy Nd scattering. We briefly review comparison of 3N scattering data to various NN potential predictions alone or combined with different 3NF’s.
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