Event rates for the scattering of weakly interacting massive particles from $^{23}$Na and $^{40}$Ar

TL;DR

This paper calculates WIMP scattering event rates for $^{23}$Na and $^{40}$Ar using the Deformed Shell Model, providing theoretical data to aid future dark matter detection experiments.

Contribution

It introduces a detailed DSM-based calculation of WIMP-nucleus scattering rates for sodium and argon, including spectroscopic properties and event rate predictions.

Findings

Good agreement with experimental spectroscopic data

Calculated elastic and inelastic scattering rates

Predicted annual modulation signals

Abstract

Detection rates for the elastic and inelastic scattering of weakly interacting massive particles (WIMP) off $^{23}$Na are calculated within the framework of Deformed Shell Model (DSM) based on Hartree-Fock states. First the spectroscopic properties like energy spectra and magnetic moments are calculated and compared with experiment. Following the good agreement for these, DSM wave functions are used for obtaining elastic and inelastic spin structure functions, nuclear structure coefficients etc. for the WIMP-$^{23}$Na scattering. Then, the event rates are also calculated with a given set of supersymmetric parameters. In the same manner, using DSM wavefunctions, nuclear structure coefficients and event rates for elastic scattering of WIMP from $^{40}$Ar are also obtained. These results for event rates and also for annual modulation will be useful for the upcoming and future WIMP detection experiments involving detectors with $^{23}$Na and $^{40}$Ar.