  Background: Nuclear pasta matter, emerging due to the competition between the
long-range Coulomb force and the short-range strong force, is believed to be
present in astrophysical scenarios, such as neutron stars and core-collapse
supernovae. Its structure can have a high impact e.g. on neutrino transport or
the tidal deformability of neutron stars.
  Purpose: We investigate the impact of nuclear pasta on neutrino interactions
and compare the results to uniform matter.
  Method: We calculate the elastic and inelastic static structure factors for
nuclear pasta matter using density functional theory (DFT), which contain the
main nuclear input for neutrino scattering.
  Results: Each pasta structure leaves a unique imprint in the elastic
structure factor and it is largely enhanced. The inelastic structure factors
are very similar for all configurations.
  Conclusion: Nuclear pasta has a noticeable impact on neutrino neutral-current
scattering opacities. While for inelastic reactions the cross section is
reduced, the elastic coherent scattering increases dramatically. The effect can
be of importance for the cooling of neutron stars as well as for core-collapse
supernova models.
