Migdal effect in dark matter direct detection experiments

  • Masahiro Ibe
  • Wakutaka NakanoEmail author
  • Yutaro Shoji
  • Kazumine Suzuki
Open Access
Regular Article - Experimental Physics


The elastic scattering of an atomic nucleus plays a central role in dark matter direct detection experiments. In those experiments, it is usually assumed that the atomic electrons around the nucleus of the target material immediately follow the motion of the recoil nucleus. In reality, however, it takes some time for the electrons to catch up, which results in ionization and excitation of the atoms. In previous studies, those effects are taken into account by using the so-called Migdal’s approach, in which the final state ionization/excitation are treated separately from the nuclear recoil. In this paper, we reformulate the Migdal’s approach so that the “atomic recoil” cross section is obtained coherently, where we make transparent the energy-momentum conservation and the probability conservation. We show that the final state ionization/excitation can enhance the detectability of rather light dark matter in the GeV mass range via the nuclear scattering. We also discuss the coherent neutrino-nucleus scattering, where the same effects are expected.


Beyond Standard Model Dark matter Dark Matter and Double Beta Decay (experiments) Electroweak interaction 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Masahiro Ibe
    • 1
    • 2
  • Wakutaka Nakano
    • 1
    Email author
  • Yutaro Shoji
    • 1
  • Kazumine Suzuki
    • 1
  1. 1.ICRR, The University of TokyoKashiwaJapan
  2. 2.Kavli IPMU (WPI), UTIAS, The University of TokyoKashiwaJapan

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