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.
Weak and Magnetic Inelastic Scattering of Antineutrinos on Atomic Electrons
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abstract
Neutrino scattering on electrons is considered as a tool for laboratory searches of the neutrino magnetic moment. We study inelastic $\bar\nu_ee^-$-scattering on electrons bound in the germanium (Z=32) and iodine (Z=53) atoms for antineutrinos generated in a nuclear reactor core and also in the $^{90}$Sr-$^{90}$Y and $^{147}$Pm artificial sources. Using the relativistic Hartree-Fock-Dirac model, we calculate both the magnetic and weak scattering cross sections for the recoil electron energy range of 1 to 100 keV where a higher sensitivity to the neutrino magnetic moment could be achieved. Particular attention is paid to the approximate procedure which allows us to take into account the effects of atomic binding on the inelastic scattering spectra in a simple way.
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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.