Ab initio elastic scattering with chiral NN forces up to NNLO (II): n+¹²C

Effective interactions derived from first principles used to describe elastic scattering of nucleons from nuclei can be formulated consistently within a multiple scattering theory based on the spectator expansion. In its leading order the NN force enters into the description of the nucleus as well as the reaction itself and is treated on the same footing in both. Employing a semilocal coordinate-space regularized chiral EFT NN force and corresponding one-body density matrix elements from the LENPIC collaboration, we study the truncation errors of the chiral expansion considering the neutron differential cross section in forward direction for elastic scattering from ¹²C for projectile energies between 100 and 150 MeV. We also show that for small scattering angles or small momentum transfer the n+¹²C differential cross section shows a strong correlation with the NN Wolfenstein amplitude A for the same momentum transfer.