Inelastic nuclear scattering from neutrinos and dark matter

Neutrinos with energy of order 10~MeV, such as from pion decay-at-rest sources, are an invaluable tool for studying low-energy neutrino interactions nuclei -- previously enabling the first measurement coherent elastic neutrino-nucleus scattering. Beyond scattering, neutrinos and dark matter in this range also excite to its low-lying nuclear states, providing additional physics channel. Here, we consider neutral-current inelastic matter(DM)-nucleus scattering off $^{40}$Ar, $^{133}$Cs, $^{127}$I that relevant a number low-threshold experiments at facilities. We carry out large scale shell model calculations cross sections considering full set electroweak multipole operators. Our results demonstrate Gamow-Teller transitions provide dominant contribution section long-wavelength limit provides reasonable approximation total sources. show future will be sensitive channel thus these DM channels explore