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

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 ${}^{19}$F, ${}^{23}$Na, ${}^{28,29,30}$Si, ${}^{40}$Ar, ${}^{70,72,73,74,76}$Ge, ${}^{127}$I, and ${}^{128,129,130,131,132,134,136}$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.

arXiv comment19 pages, 20 figures. Contains supplementary material at the end

References in corpus (43)

• Supersymmetric Dark Matter
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Dark Matter Candidates from Particle Physics and Methods of Detection
• A History of Dark Matter
• The Waning of the WIMP? A Review of Models, Searches, and Constraints
• First Dark Matter Search Results from the LUX-ZEPLIN (LZ) Experiment
• The Effective Field Theory of Dark Matter Direct Detection
• WIMP dark matter candidates and searches - current status and future prospects
• Dark Matter Search Results from the PandaX-4T Commissioning Run
• Direct Detection of WIMP Dark Matter: Concepts and Status
• First Dark Matter Search with Nuclear Recoils from the XENONnT Experiment
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Dark matter direct-detection experiments
• Model-independent WIMP Scattering Responses and Event Rates: A Mathematica Package for Experimental Analysis
• Non-relativistic effective theory of dark matter direct detection
• A review of indirect searches for particle dark matter
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Current status of direct dark matter detection experiments
• Tools for model-independent bounds in direct dark matter searches
• Low-Mass Dark Matter Search with CDMSlite
• Magnetic moments of the 2${}_1^{+}$ states around ${}^{132}$Sn
• Shape transitions in exotic Si and S isotopes and tensor-force-driven Jahn-Teller effect
• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
• Spin-dependent WIMP scattering off nuclei
• Annual modulation results from three-year exposure of ANAIS-112
• Analysis strategies for general spin-independent WIMP-nucleus scattering
• Nuclear structure aspects of spin-independent WIMP scattering off xenon
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Shell model study for neutron-rich sd-shell nuclei
• Strong constraints from COSINE-100 on the DAMA dark matter results using the same sodium iodide target
• Three-year annual modulation search with COSINE-100
• First-principle calculations of Dark Matter scattering off light nuclei
• Ab initio nuclear response functions for dark matter searches
• Ab initio structure factors for spin-dependent dark matter direct detection
• Quantum Monte Carlo calculations of dark matter scattering off light nuclei
• Uncertainty quantification in nuclear shell model
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Recent results from DEAP-3600
• Direct dark matter searches with the full data set of XMASS-I
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Uncertainties on the EFT coupling limits for direct dark matter detection experiments stemming from uncertainties of target properties
• Relativistic mean-field corrections for interactions of dark matter particles with nucleons

Cited by in corpus (3)

• Detailed nuclear structure calculations for coherent elastic neutrino-nucleus scattering
• Tensor interaction in coherent elastic neutrino-nucleus scattering
• WIMP Dark Matter within the dark photon portal