# Deformed shell model study of event rates for WIMP- $^{73}$Ge scattering

## TL;DR

This paper uses the deformed shell model to calculate WIMP detection rates for $^{73}$Ge, showing it is an effective detector for dark matter with accurate nuclear structure modeling.

## Contribution

It introduces a DSM-based approach to compute WIMP scattering event rates for $^{73}$Ge, including nuclear structure factors independent of supersymmetric models.

## Key findings

- Calculated energy levels and magnetic moments agree with experiments.
- Event rates indicate $^{73}$Ge is a promising dark matter detector.
- Nuclear structure factors are independent of SUSY parameters.

## Abstract

The event detection rates for the WIMP (a dark matter candidate) are calculated with $^{73}$Ge as the detector. The calculations are performed within the deformed shell model (DSM) based on Hartree-Fock states. First the energy levels and magnetic moment for the ground state and two low lying positive parity states for this nucleus are calculated and compared with experiment. The agreement is quite satisfactory. Then the nuclear wave functions are used to investigate the elastic and inelastic scattering of WIMP from $^{73}$Ge. The nuclear structure factors which are independent of supersymmetric model are also calculated as a function of WIMP mass. The event rates are calculated for a given set of SUSY parameters. The calculation shows that $^{73}$Ge is a good detector for detecting dark matter.