Deterministic modeling of higher angular moments of resonant neutron scattering

► Exact anisotropic scattering kernel formulation up to angular order 10 is developed. ► It is implemented into a deterministic code. ► Effects of lattice dynamics on the modeling of neutron scattering are demonstrated. ► It is shown that the exact scattering kernel is strongly sensitive to temperature. ► The paper contributes to the correct modeling of the neutron slowing.