A first-principles QFT treatment of dark matter scattering off atomic electrons shows that free-electron factorization can fail and that relativistic Dirac wave functions reduce the xenon atomic factor by 30-50% relative to non-relativistic Schrödinger wave functions.
The ionization of H, He and Ne atoms using neutrinos or antineutrinos at keV energies
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abstract
We calculate the ionization cross sections for H, He or Ne atoms using $\nu_e$ and $\bar \nu_e$ scattering at keV energies. Such cross sections are useful for e.g. $\bar \nu_e$-oscillation experiments using a tritium source. Using realistic atomic wave functions, we find that for $E_\nu \lsim 10 ~\rm keV $ the atomic ionization cross sections, normalized to one electron per unit volume, are smaller than the corresponding free electron ones, and that they approach it from below as energies of 20 keV are reached.
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Relativistic Atomic Effects of Dark Matter Electron Scattering
A first-principles QFT treatment of dark matter scattering off atomic electrons shows that free-electron factorization can fail and that relativistic Dirac wave functions reduce the xenon atomic factor by 30-50% relative to non-relativistic Schrödinger wave functions.