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Abstract
Faddeev calculations using the chiral three-nucleon force at next-to-next-to- next-to-leading-order show that this force is not able to provide an explanation for the low-energy Ay puzzle. Also the large discrepancies between data and theory for the symmetric-space-star and for the neutron-neutron quasi-free-scattering cross sections in low energy neutron-deuteron breakup cannot be explained by that three-nucleon force. The discrepancy for the neutron-neutron quasi-free-scattering cross section seems to re- quire a modification of the 1 S 0 neutron-neutron force.
Highlights
Recent progress in the construction of chiral nucleon-nucleon (NN) and three-nucleon forces (3NF) allows one to test chiral dynamics in 3N reactions up to the next-to-next-to-next-to-leading-order (N3LO) of the chiral expansion
In order to describe the 2N system with the same high precision as provided by standard semiphenomenological NN potentials one needs to go to N3LO in chiral expansion [1, 2]
Results of 3N Faddeev calculations [3, 4] based on five versions of chiral N3LO potentials, which use different cut-off’s for the Lippmann-Schwinger equation and spectral function regularization [1] and which well describe the 2N system, will be presented
Summary
Recent progress in the construction of chiral nucleon-nucleon (NN) and three-nucleon forces (3NF) allows one to test chiral dynamics in 3N reactions up to the next-to-next-to-next-to-leading-order (N3LO) of the chiral expansion. It provides an opportunity to check if consistent two- and threenucleon forces are able to explain the low-energy Ay puzzle. The large disagreement between theory and data for the symmetric-space-star (SST) and for the neutron-neutron quasi-free scattering (nn QFS) cross section in low energy neutron-deuteron (nd) breakup reaction provides another example where consistent application of N3LO chiral forces is desirable. The strong dominance of S-waves on the cross section in those configurations indicates the possibility that two neutrons interaction in a 1S 0 state should be modified
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