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.
Testing neutrino magnetic moment in ionization of atoms by neutrino impact
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abstract
The atomic ionization processes induced by scattering of neutrinos play key roles in the experimental searches for a neutrino magnetic moment. Current experiments with reactor (anti)neutrinos employ germanium detectors having energy threshold comparable to typical binding energies of atomic electrons, which fact must be taken into account in the interpretation of the data. Our theoretical analysis shows that the so-called stepping approximation to the neutrino-impact ionization is well applicable for the lowest bound Coulomb states, and it becomes exact in the semiclassical limit. Numerical evidence is presented using the Thomas-Fermi model for the germanium atom.
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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.