http://arxiv.org/abs/2005.08824
We consider the scattering of dark matter particles from superfluid liquid $^4$He, which has been proposed as a target for their direct detection. Focusing on dark matter masses below ~1 MeV, we demonstrate from sum-rule arguments that for momentum transfers of interest the dominant process is the creation of a single phonon, with the direct creation of two or more phonons much less likely. We show further that the anomalous dispersion of phonons in liquid $^4$He at low pressures [i.e., $d^2\omega (q)/dq^2 > 0$, where $q$ and $\omega(q)$ are the phonon momentum and energy] has the important consequence that a single phonon will decay over a relatively short distance into a shower of lower energy phonons centered on the direction of the original phonon. Thus the experimental challenge in this regime is to detect a shower of low energy phonons, not just a single phonon. Additional information from the distribution of phonons in such a shower could enhance the determination of the dark matter mass.
G. Baym, D. Beck, J. Filippini, et. al.
Tue, 19 May 20
55/92
Comments: 17 pages, 12 figures
You must be logged in to post a comment.