Neutrino scattering on liquid and solid targets at low energy transfer can serve both as a tool for searching the BSM physics, for example, such as neutrino electromagnetic interactions , and as a test of the Standard Model at low-energy scale . At the same time, the theoretical apparatus for low-energy elastic neutrino scattering on electrons and nuclei bound in liquids and solids must take into account collective effects in the electron and nuclear subsystems of the target. We develop such an apparatus based on the formalism of the density-density and current-current Green’s functions. Some numerical illustrations of the roles of the collective effects are provided for the cases of superfluid He-4  and graphene  targets.
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This work is supported by the Russian Foundation for Basic Research under grant No. 20-52-53022-GFEN-a. The work of GD is supported by the BASIS Foundation No. 20-2-9-9-1.
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