Impact of the $$\hbox {N}^4\hbox {LO}$$ Short-Range Three-Nucleon Force Components on the Nucleon-Deuteron Spin Correlation Coefficients

Abstract

The spin correlation coefficients in the neutron-deuteron elastic scattering process at incoming neutron laboratory energies $$\hbox {E}=10$$ E = 10 , 135, 190, and 250 MeV are determined by solving the momentum space three-nucleon (3N) Faddeev equations. The chiral two-nucleon (2N) interaction with momentum-space semi-local (SMS) regularization up to the fifth order of chiral expansion ($$\hbox {N}^4\hbox {LO}$$ N 4 LO ), supplemented by the F-waves terms from the sixth order ($$\hbox {N}^5\hbox {LO}$$ N 5 LO ), is used. Additionally, the consistent 3N force (3NF) at the third order of chiral expansion, supplemented by the short-range contributions from $$\hbox {N}^4\hbox {LO}$$ N 4 LO is applied. As a results, we give predictions for the complete set of spin correlation coefficients $$C_{\alpha ,\beta }$$ C α , β . We find that the effect of the investigated three-nucleon $$\hbox {N}^4\hbox {LO}$$ N 4 LO components amounts up to several dozen percent, depending on reaction energy, scattering angle and type of spin correlation coefficient itself. Our results can serve as a guide for future measurements of the spin correlation coefficients.