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Large-scale shell-model calculations of elastic and inelastic scattering rates of lightest supersymmetric particles (LSP) on ${}^{127}I$ , ${}^{129}{Xe}$ , ${}^{131}{Xe}$ , and ${}^{133}{Cs}$ nuclei

P. Toivanen, M. Kortelainen, J. Suhonen, and J. Toivanen

Department of Physics, University of Jyväskylä, Post Office Box 35, FIN-40014 Jyväskylä, Finland

Phys. Rev. C 79, 044302 – Published 2 April, 2009

DOI: https://doi.org/10.1103/PhysRevC.79.044302

Abstract

We discuss the dark-matter detection rates for the elastic and inelastic scattering of the lightest supersymmetric particle (LSP) off nuclei. For this we use an easily accessible formalism where the underlying nuclear physics is condensed in structure coefficients multiplying the key parameters of supersymmetric theories. In this work we compute these coefficients for the stable iodine, xenon, and cesium nuclei by application of the nuclear shell model in a model space involving the $2 s$ , $1 d$ , $0 g_{7 / 2}$ , and $0 h_{11 / 2}$ single-particle orbitals. As an interaction we use the renormalized Bonn-CD $G$ matrix. By using fitted nuclear gyromagnetic factors we have successfully reproduced the relevant spectroscopic data on magnetic moments and $M 1$ decays in the discussed nuclei.

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