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2019

The Dark Matter Phonon Coupling

Cox, Peter, Melia, Tom, Rajendran, Surjeet

Understand

Generically, the effective coupling between the dark matter and an atom scales with the number of constituents in the atom, resulting in the effective coupling being proportional to the mass of the atom.

In this limit, when the momentum transfer is also small, we show that the leading term in the scattering of a particle off the optical phonons of an array of atoms, whether in a crystal or in a molecule, vanishes.
Next-generation dark matter direct detection experiments with sub-eV energy thresholds will operate in a regime where this effect is important, and the suppression can be up to order $10^6$ over naive expectations.
For dark matter that couples differently to protons and neutrons, the suppression is typically of order $10-100$ but can be avoided through a judicious choice of material, utilising variations in nuclear ratios $Z/A$ to break the proportionality of the coupling to mass.

Built on

T. Lin, (2019), arXiv:1904.07915 [hep-ph]
Original
1904
Earlier work this paper cites.
H. Schober, Journal of Neutron Research 17
Original
1905
Earlier work this paper cites.
P. M. Morse, Phys. Rev. 34
1929
Earlier work this paper cites.
H. Fröhlich, Advances in Physics 3
1954
Earlier work this paper cites.
R. M. Pick, M. H. Cohen, and R. M. Martin, Phys. Rev. B 1
1970
Earlier work this paper cites.
P. Vogl, Phys. Rev. B 13
1976
Earlier work this paper cites.
J. R. Ferraro, K. Nakamoto, and C. W. Brown, in Introductory Raman Spectroscopy (Second Edition) , edited by J. R. Ferraro, K. Nakamoto, and C. W. Brown (Academic Press, San Diego, 2003) second edition ed., pp. 1 – 94
2003
Earlier work this paper cites.
R. Bernabei et al. (DAMA), Nucl. Instrum. Meth. A592
Original
2008
Earlier work this paper cites.
P. W. Graham, I. G. Irastorza, S. K. Lamoreaux, A. Lindner, and K. A. van Bibber, Ann. Rev. Nucl. Part. Sci. 65
Original
2015
Earlier work this paper cites.