Quark-Model Nucleon–Nucleon Interaction Applied to Nucleon-Deuteron Scattering

Abstract

We have examined the neutron-deuteron low-energy effective-range parameters, the differential cross sections and the spin polarization observables of the elastic nucleon-deuteron scattering up to the incident nucleon energy E N =65 MeV using the quark-model nucleon-nucleon interaction fss2. These observables are consistently described without introducing three nucleon forces except for the nucleon analyzing power A y (θ ) and the deuteron vector analyzing power iT 11 (θ ) in the low-energy region E N ≤ 25 MeV. The longstanding A y puzzle is slightly improved, but still remains. We have incorporated the screened Coulomb force to the proton-deuteron scattering problem by modification of the Vincent-Phatak approach for the sharp cutoff Coulomb force. The Coulomb effect on the elastic scattering observables is discussed.

Approach for the three-body force effect in the optical limit approximation: application to hadron–deuteron elastic scattering at high energies

“…We also note that, for energies up to 65 MeV/nucleon in the case of elastic nucleondeuteron scattering [21] and in the case of nucleon-deuteron or deuteron-nucleon breakup reactions [40,41] the three-nucleon force effects on the cross sections and spin observables are predicted to be small or do not exist and the agreement with the data is generally good.…”

“…where S( q)is the deuteron form factor. Also, using the inverse transformation of th ( bi , sij ), (20), we can obtain the three-body force term, second term in equation (21), in the form…”