Abstract

Inelastic dark matter and strongly interacting dark matter are poorly constrained by direct detection experiments since they both require the scattering event to deliver energy from the nucleus into the dark matter in order to have observable effects. We propose to test these scenarios by searching for the collisional de-excitation of meta-stable nuclear isomers by the dark matter particles. The longevity of these isomers is related to a strong suppression of $\gamma$- and $\beta$-transitions, typically inhibited by a large difference in the angular momentum for the nuclear transition. The collisional de-excitation by dark matter is possible since heavy dark matter particles can have a momentum exchange with the nucleus comparable to the inverse nuclear size, hence lifting tremendous angular momentum suppression of the nuclear transition. This de-excitation can be observed either by searching for the direct effects of the decaying isomer, or through the re-scattering or decay of excited dark matter states in a nearby conventional dark matter detector setup. Existing nuclear isomer sources such as naturally occurring $^{180m}$Ta, $^{137m}$Ba produced in decaying Cesium in nuclear waste, $^{177m}$Lu from medical waste, and $^{178m}$Hf from the Department of Energy storage can be combined with current dark matter detector technology to search for this class of dark matter.

Highlights

  • The nature of dark matter (DM) is currently one of the pivotal issues in particle physics and fundamental physics in general

  • We propose to test these scenarios by searching for the collisional deexcitation of metastable nuclear isomers by the dark matter particles

  • Direct detection (DD) experiments that probe the elastic scattering of weak scale DM with nuclei have set stringent constraints on the existence of such particles and significantly limit scenarios where DM is composed of weakly interacting massive particles (WIMPs)

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Summary

INTRODUCTION

The nature of dark matter (DM) is currently one of the pivotal issues in particle physics and fundamental physics in general. Strongly interacting DM (or fraction of DM) may evade being detected despite a possibly large scattering rate Another well-motivated class of DM are inelastic DM models where the DM possesses purely off-diagonal couplings at tree level such that DM scattering off SM particles requires a transition to a higher excited state [4,5,6,7]. If the ambient DM triggers the decay of a metastable isomer and gets kicked in the process, we can look for the following processes: the deexcitation of the target nucleus to its ground state, subsequent decay of excited DM in detector volume, or a rescatter of excited DM in a conventional DM DD experiment These ideas are explored in detail in what follows.

KINEMATICS
METASTABLE NUCLEAR ISOMERS AND POSSIBLE DM SEARCH APPLICATIONS
Nuclear inelastic form factor
STRONGLY INTERACTING DM
The DM traffic jam
S f ðq0 Þ ð21Þ
INELASTIC DM
10–33 CRESST
Dark photon mediator
CRESST
Electric dipole DM
CONCLUSIONS

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