Lorentz and CPT tests with hydrogen, antihydrogen, and related systems

Abstract

The potential of precision spectroscopy as a tool in systematic searches for effects of Lorentz and CPT violation is investigated. Systems considered include hydrogen, antihydrogen, deuterium, positronium, and hydrogen molecules and molecular ions. Perturbative shifts in energy levels and key transition frequencies are derived, allowing for Lorentz-violating operators of arbitrary mass dimensions. Observable effects are deduced from various direct measurements, sidereal and annual variations, comparisons among species, and gravitational responses. We use existing data to place new and improved constraints on nonrelativistic coefficients for Lorentz and CPT violation, and we provide estimates for the future attainable reach in direct spectroscopy of the various systems or tests with hydrogen and deuterium masers. The results reveal prospective sensitivities to many coefficients unmeasured to date, along with potential improvements of a billionfold or more over certain existing results.

37 pages two-column REVTeX

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Cited by in corpus (56)

• Search for New Physics with Atoms and Molecules
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• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Testing CPT symmetry in ortho-positronium decays with positronium annihilation tomography
• Tests of Lorentz symmetry in the gravitational sector
• The Mu-MASS (MuoniuM lAser SpectroScopy) experiment
• Measuring the stability of fundamental constants with a network of clocks
• Lorentz violation in Dirac and Weyl semimetals
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Lorentz and CPT Tests with Clock-Comparison Experiments
• In-beam measurement of the hydrogen hyperfine splitting - towards antihydrogen spectroscopy
• Constraints on Nonmetricity from Bounds on Lorentz Violation
• Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized ${}^{133}$Cs cold atom clock
• Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
• The ASACUSA antihydrogen and hydrogen program : results and prospects
• Searches for beyond-Riemann gravity
• Lorentz violation in simple QED processes
• A Simple Test of the Equivalence Principle(s) for Quantum Superpositions
• Lorentz Violation and Sagnac Gyroscopes
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Searching for CPT Violation with Neutral-Meson Oscillations
• Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• The anti-proton charge radius
• Hyperfine spectroscopy of hydrogen and antihydrogen in ASACUSA
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Production of antihydrogen atoms by 6 keV antiprotons through a positronium cloud
• Measurement of the $2S_{1/2},F$=$0\to 2P_{1/2},F$=$1$ transition in Muonium
• Traces of Lorentz symmetry breaking in a Hydrogen atom at ground state
• Testing Lorentz-symmetry violation via electroweak decays
• Constraining GUP Models Using Limits on SME Coefficients
• A large-momentum-transfer matter-wave interferometer to measure the effect of gravity on positronium
• Lorentz and CPT Violation in Partons
• Enhancing test precision for local Lorentz symmetry violation with entanglement
• Precision measurements of muonium and muonic helium hyperfine structure at J-PARC
• Limitations for field-enhanced atom interferometry
• Towards Measuring the Ground State Hyperfine Splitting of Antihydrogen -- A Progress Report
• Nonperturbative Lorentz Violation and Field Quantization
• Short-range forces due to Lorentz-symmetry violation
• Testing Fundamental Physics in Antihydrogen Experiments
• CPT and Lorentz symmetry tests with hydrogen using a novel in-beam hyperfine spectroscopy method applicable to antihydrogen experiments
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Towards a spectroscopically accurate set of potentials for heavy hydride laser cooling candidates: effective core potential calculations of BaH
• Lorentz violation parameters and noncommutative scale
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• Scale anomaly in a Lorentz and CPT-violating Quantum Electrodynamics
• Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
• Do anomalies break the momentum routing invariance?
• Measurement of the ${\text{1}}^{\text{3}}{\text{S}}_{\text{1}}\to {\text{2}}^{\text{3}}{\text{S}}_{\text{1}}$ interval in positronium using field-ionization of Rydberg states
• Hyperfine spectroscopy of antihydrogen, hydrogen, and deuterium
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Nonminimal Lorentz Violation in Macroscopic Matter
• Feasibility study of the time reversal symmetry tests in decays of metastable positronium atoms with the J-PET detector
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen
• Demonstration of deuterium's enhanced sensitivity to symmetry violations governed by the Standard-Model Extension
• Atomic Observables Induced by Cosmic Fields