Testing Lorentz invariance in orbital electron capture

Abstract

Searches for Lorentz violation were recently extended to the weak sector, in particular neutron and nuclear $\beta$ decay [1]. From experiments on forbidden $\beta$-decay transitions strong limits in the range of $10^{-6}$-$10^{-8}$ were obtained on Lorentz-violating components of the $W$-boson propagator [2]. In order to improve on these limits strong sources have to be considered. In this Brief Report we study isotopes that undergo orbital electron capture and allow experiments at high decay rates and low dose. We derive the expressions for the Lorentz-violating differential decay rate and discuss the options for competitive experiments and their required precision.

accepted for publication as a Brief Report in Physical Review C

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Cited by in corpus (13)

• Symmetry violations in nuclear and neutron $\beta$ decay
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Question of Lorentz invariance in muon decay
• Concurrent tests of Lorentz invariance in $\beta$-decay experiments
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Test of Lorentz invariance in $\beta$ decay of polarized ${}^{20}\text{Na}$
• Evidence for the virtual beta-gamma transition in 59Ni
• Neutrino recoil force in electron-capture decay of polarized nuclei: measurement prospects and potential applications
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay