Test of Lorentz invariance in $\beta$ decay of polarized ${}^{20}\text{Na}$

Abstract

We search for a dependence of the lifetime of ${}^{20}\text{Na}$ nuclei on the nuclear spin direction. Such a directional dependence would be evidence for Lorentz-invariance violation in weak interactions. A difference in lifetime between nuclei that are polarized in the east and west direction is searched for. This difference is maximally sensitive to the rotation of the Earth, while the sidereal dependence is free from most systematic errors. The experiment sets a limit of $2\times 10^{-4}$ at 90 % C.L. on the amplitude of the sidereal variation of the relative lifetime differences, an improvement by a factor 15 compared to an earlier result.

arXiv comment23 pages, 8 figures, 4 tables

References in corpus (14)

• Lorentz-Violating Extension of the Standard Model
• Data Tables for Lorentz and CPT Violation
• Nonstandard optics from quantum spacetime
• CPT Violation Implies Violation of Lorentz Invariance
• Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
• Symmetry violations in nuclear and neutron $\beta$ decay
• Lorentz violation in neutron and allowed nuclear beta decay
• Limits on Lorentz violation from forbidden beta decays
• Production of Radioactive Nuclides in Inverse Reaction Kinematics
• Contributions to Pion Decay from Lorentz Violation in the Weak Sector
• First Test of Lorentz Invariance in the Weak Decay of Polarized Nuclei
• Testing Lorentz invariance in orbital electron capture
• Concurrent tests of Lorentz invariance in $\beta$-decay experiments
• A gas cell for stopping, storing and polarizing radioactive particles

Cited by in corpus (4)

• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Electron Capture Beta Decay of Partially Polarized Nuclei