  This study outlines a numerical methodology aimed at rectifying the neutron
scattering cross-sections of fundamental elements across a range of low neutron
energies typically employed in general neutron scattering experiments. By using
the experimental power law relationship governing the cross-section's
dependence on neutron wavelength, we establish a mathematical connection
between these two variables. Leveraging this relationship, the scheme of
central moment expansion is adopted to correct the cross-sections that are
applicable to general neutron wavelength distributions commonly encountered in
experimental scenarios. Importantly, our proposed method eliminates the
requirement for knowledge about the functional form of the distribution.
Consequently, this approach offers the capability to reconstruct neutron
scattering data without introducing distortions stemming from the
energy-dependent cross-sections of different types of elements within materials
during experimental measurements. Ultimately, this advancement facilitates a
more precise interpretation and analysis of material structures based on their
scattering signatures.
