Abstract
Faddeev calculations using the chiral three-nucleon force in next-to-next-to-next-to-leading-order show that this force is too weak to provide an explanation for the low-energy A y puzzle. The large discrepancy between data and theory for the neutron–neutron quasi-free-scattering cross section in low energy neutron–deuteron breakup requires a modification of the \({^{1}S_0}\) neutron–neutron force. We discuss the consequences that a bound \({^{1}S_0}\) state of two neutrons has on neutron–deuteron scattering observables. At higher energies we compare the solutions of the non-relativistic three-nucleon Faddeev equations with three-nucleon force included to the solutions of its Poincaré invariant version.
Highlights
Recent progress in the construction of chiral nucleon–nucleon (NN) and three-nucleon forces (3NF) allows to test chiral dynamics in 3N reactions up to the next-to-next-to-next-to-leading-order (N3LO) of the chiral expansion
The large disagreement between theory and data for the neutron–neutron quasi-free scattering cross section in low energy neutron–deuteron breakup reaction indicates the possibility that two neutrons can form a bound state when interacting in a 1 S0 state
The chiral N3LO 3NF is too weak to explain the low-energy Ay puzzle. It does not provide an explanation of discrepancies found for cross sections in the neutron quasi-free scattering (nn QFS) and SST configurations of the low-energy nd breakup
Summary
Recent progress in the construction of chiral nucleon–nucleon (NN) and three-nucleon forces (3NF) allows to test chiral dynamics in 3N reactions up to the next-to-next-to-next-to-leading-order (N3LO) of the chiral expansion. The large disagreement between theory and data for the neutron–neutron quasi-free scattering (nn QFS) cross section in low energy neutron–deuteron (nd) breakup reaction indicates the possibility that two neutrons can form a bound state when interacting in a 1 S0 state. At low energies the cross sections in the SST and QFS configurations are dominated by S-waves.
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