Abstract

Detection rates for the elastic and inelastic scattering of weakly interacting massive particles (WIMPs) off 23Na are calculated within the framework of Deformed Shell Model (DSM) based on Hartree-Fock states. At first, the spectroscopic properties of the detector nucleus, like energy spectra and magnetic moments, are evaluated and compared with experimental data. Following the good agreement of these results, DSM wave functions are used for obtaining elastic and inelastic spin structure functions, nuclear structure coefficients and so forth for the WIMP-23Na scattering. Then, the event rates are also computed with a given set of supersymmetric parameters. In the same manner, using DSM wavefunctions, nuclear structure coefficients and event rates for elastic scattering of WIMPs from 40Ar are also obtained. These results for event rates and also for annual modulation will be useful for the ongoing and future WIMP detection experiments involving detector materials with 23Na and 40Ar nuclei.

Highlights

  • During the last three decades, the satellite missions of the Cosmic Background Explorer (COBE) [1], the Wilkinson Microwave Anisotropy Probe (WMAP) [2] and the Planck space telescope [3,4] launched into space with the aim of exploring Cosmic Microwave Background (CMB) radiation [5]

  • Worth mentioning that the Axion Dark Matter Experiment (ADMX), at Washington University, very recently announced as “the first experiment that achieved the sensitivity to hunt for dark matter (DM) axions [7]

  • The nuclear structure plays an important role in studying the event rates in WIMPnucleus scattering

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Summary

Introduction

During the last three decades, the satellite missions of the Cosmic Background Explorer (COBE) [1], the Wilkinson Microwave Anisotropy Probe (WMAP) [2] and the Planck space telescope [3,4] launched into space with the aim of exploring Cosmic Microwave Background (CMB) radiation [5]. It should be noted that direct detection experiments are exposed to various neutrino emissions [26,27,28,29] The interaction of these neutrinos, especially the astrophysical ones, with the material of the dark matter detectors, known as the neutrino-floor, is a serious background source. Baudis et al [42] have explored the inelastic scattering of the dark matter of nuclei within the shell model and chiral effective field theory. DSM is found to be quite successful in describing the spectroscopic properties of medium heavy N = Z odd-odd nuclei with isospin projection [45], double beta decay half-lives [46,47] and μ − e conversion in the field of the nucleus [48] Going beyond these applications, recently we have studied the event rates for WIMP with 73Ge as the detector [49].

Event Rates for WIMP-Nucleus Scattering
Elastic Scattering
Inelastic Scattering
Deformed Shell Model
Results for WIMP-23Na Scattering
Results for Elastic Scattering
Results for WIMP-40Ar Elastic Scattering
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