Abstract
Measurements of Zeeman, Zeeman-hyperfine and ro-vibrational transitions in \(\bar {H}_{2}^{-}(\bar {p}e^{+}\bar {p})\) compared to \(H_{2}^{+}\) have the potential for more precise tests of CPT than can be obtained from antiprotons and antihydrogen. In particular, measurements of ro-vibrational transitions have a potential sensitivity to a difference between antiproton and proton mass three orders of magnitude higher than antihydrogen/hydrogen. Methods are outlined for precision measurements on a single \(\bar {H}_{2}^{-}\) or \({H}_{2}^{+}\) ion in a cryogenic Penning trap, with non-destructive state identification using the continuous Stern-Gerlach effect or changes in mass. \(\bar {H}_{2}^{-}\) can be produced using the \(\bar {H}^{+}+\bar {p} \rightarrow \bar {H}_{2}^{-} + e^{+}\) reaction.
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Acknowledgements
The author thanks G. Gabrielse for supporting visits to CERN and members of ATRAP for their hospitality. Support from the US National Science Foundation under PHY-1403725 is gratefully acknowledged.
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This article is part of the Topical Collection on Proceedings of the 13th International Conference on Low Energy Antiproton Physics (LEAP 2018) Paris, France, 12–16 March 2018
Edited by Paul Indelicato, Dirk van der Werf and Yves Sacquin
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Myers, E.G. Beyond antihydrogen: testing CPT with the molecular antihydrogen ion. Hyperfine Interact 239, 43 (2018). https://doi.org/10.1007/s10751-018-1520-4
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DOI: https://doi.org/10.1007/s10751-018-1520-4