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  4. Anharmonic effects in nuclear recoils from sub-GeV dark matter
 
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Anharmonic effects in nuclear recoils from sub-GeV dark matter

Journal
Physical Review D
Journal Volume
109
Journal Issue
9
Start Page
095020
ISSN
2470-0010
2470-0029
Date Issued
2024-05-14
Author(s)
Tongyan Lin
Chia-Hsien Shen  
Mukul Sholapurkar
Ethan Villarama
DOI
10.1103/physrevd.109.095020
URI
https://scholars.lib.ntu.edu.tw/handle/123456789/721916
Abstract
Direct detection experiments are looking for nuclear recoils from scattering of sub-GeV dark matter (DM) in crystals, and have thresholds as low as ∼10 eV or DM masses of ∼100 MeV. Future experiments are aiming for even lower thresholds. At such low energies, the free nuclear recoil prescription breaks down, and the relevant final states are phonons in the crystal. Scattering rates into single as well as multiple phonons have already been computed for a harmonic crystal. However, crystals typically exhibit some anharmonicity, which can significantly impact scattering rates in certain kinematic regimes. In this work, we estimate the impact of anharmonic effects on scattering rates for DM in the mass range ∼1-10 MeV, where the details of multiphonon production are most important. Using a simple model of a nucleus in a bound potential, we find that anharmonicity can modify the scattering rates by up to two orders of magnitude for DM masses of O(MeV). However, such effects are primarily present at high energies where the rates are suppressed, and thus only relevant for very large DM cross sections. We show that anharmonic effects are negligible for masses larger than ∼10 MeV.
Publisher
American Physical Society (APS)
Type
journal article

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