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

The spin correlation coefficients in the neutron-deuteron elastic scattering process at incoming neutron laboratory energies \(\hbox {E}=10\) $\text{E}=10$ , 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 ( \(\hbox {N}^4\hbox {LO}\) ${\text{N}}^4\text{LO}$ ), supplemented by the F-waves terms from the sixth order ( \(\hbox {N}^5\hbox {LO}\) ${\text{N}}^5\text{LO}$ ), is used. Additionally, the consistent 3N force (3NF) at the third order of chiral expansion, supplemented by the short-range contributions from \(\hbox {N}^4\hbox {LO}\) ${\text{N}}^4\text{LO}$ is applied. As a results, we give predictions for the complete set of spin correlation coefficients \(C_{\alpha ,\beta }\) $C_{\alpha ,\beta }$ . We find that the effect of the investigated three-nucleon \(\hbox {N}^4\hbox {LO}\) ${\text{N}}^4\text{LO}$ 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.