English

Impact of shell model interactions on nuclear responses to WIMP elastic scattering

High Energy Physics - Phenomenology 2025-10-13 v1 Nuclear Theory

Abstract

Background: Nuclear recoil from scattering with weakly interacting massive particles (WIMPs) is a signature searched for in direct detection of dark matter. The underlying WIMP-nucleon interactions could be spin and/or orbital angular momentum (in)dependent. Evaluation of nuclear recoil rates through these interactions requires accounting for nuclear structure, e.g., through shell model calculations. Purpose: To evaluate nuclear response functions induced by these interactions for 19^{19}F, 23^{23}Na, 28,29,30^{28, 29, 30}Si, 40^{40}Ar, 70,72,73,74,76^{70,72,73,74,76}Ge, 127^{127}I, and 128,129,130,131,132,134,136^{128, 129, 130, 131, 132, 134, 136}Xe nuclei that are relevant to current direct detection experiments, and to estimate their sensitivity to shell model interactions. Methods: Shell model calculations are performed with the NuShellX solver. Nuclear response functions from non-relativistic effective field theory (NREFT) are evaluated and integrated over transferred momentum for quantitative comparisons. Results: Although the standard spin independent response is barely sensitive to the structure of the nuclei, large variations with the shell model interaction are often observed for the other channels. Conclusions: Significant uncertainties may arise from the nuclear components of WIMP-nucleus scattering amplitudes due to nuclear structure theory and modelling. These uncertainties should be accounted for in analyses of direct detection experiments.

Keywords

Cite

@article{arxiv.2311.15764,
  title  = {Impact of shell model interactions on nuclear responses to WIMP elastic scattering},
  author = {Raghda Abdel Khaleq and Giorgio Busoni and Cedric Simenel and Andrew E. Stuchbery},
  journal= {arXiv preprint arXiv:2311.15764},
  year   = {2025}
}

Comments

19 pages, 20 figures. Contains supplementary material at the end