CPT tests with the antihydrogen molecular ion

Abstract

High precision radio-frequency, microwave and infrared spectroscopic measurements of the antihydrogen molecular ion ${\bar{H}}_2^{-}$ ($\bar{p}\bar{p}{e}^{+}$) compared with its normal matter counterpart provide direct tests of the CPT theorem. The sensitivity to a difference between the positron/antiproton and electron/proton mass ratios, and to a difference between the positron-antiproton and electron-proton hyperfine interactions, can exceed that obtained by comparing antihydrogen with hydrogen by several orders of magnitude. Practical schemes are outlined for measurements on a single ${\bar{H}}_2^{-}$ ion in a cryogenic Penning trap, that use non-destructive state identification by measuring the cyclotron frequency and bound-positron spin-flip frequency; and also for creating an ${\bar{H}}_2^{-}$ ion and initializing its quantum state.

Revised version for Phys Rev A(RC), with figure

References in corpus (6)

• High-precision measurement of the atomic mass of the electron
• Laser Cooling of Molecular Anions
• The static and dynamic polarisability, and the Stark and black-body radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Sympathetic Cooling of Protons and Antiprotons with a Common Endcap Penning Trap
• Vibrational spectroscopy of H2+: precise evaluation of the Zeeman effect

Cited by in corpus (10)

• Sympathetic cooling of a trapped proton mediated by an LC circuit
• Perspectives on testing fundamental physics with highly charged ions in Penning traps
• Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H${}_2^{+}$
• Precision measurements of the fundamental properties of the proton and antiproton
• Stark quenching of rovibrational states of H2+ due to motion in a magnetic field
• BASE-STEP: A transportable antiproton reservoir for fundamental interaction studies
• Quantum control of a single ${\mathrm{H}}_2^{+}$ molecular ion
• Penning-trap eigenfrequency measurements with optical radiofrequency detectors
• Production and study of antideuterium with the GBAR beamline
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen