Registration of hydrogen-like leptonic bound states ($\mth{e^-\mu^+}$) and ($\mth{e^+\mu^-}$) in reactions of high-energy scattering of polarized electrons and positrons by nuclei with $\mth{Z \sim 100}$ and analysis of CPT invariance

E.A. Choban; V.A. Ivanova

doi:doi:10.1140/epja/i2002-10155-0

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2021 Impact factor 3.131

Hadrons and Nuclei

Eur. Phys. J. A 17, 213-222 (2003)
DOI: 10.1140/epja/i2002-10155-0

Registration of hydrogen-like leptonic bound states ( $\mth{e^-\mu^+}$ ) and ( $\mth{e^+\mu^-}$ ) in reactions of high-energy scattering of polarized electrons and positrons by nuclei with $\mth{Z \sim 100}$ and analysis of CPT invariance

E.A. Choban and V.A. Ivanova

Department of Nuclear Physics, State Polytechnical University of St. Petersburg, Polytechnicheskaya 29, 195251 St. Petersburg, Russian Federation

viola@kph.tuwien.ac.at

(Received: 24 September 2002 / Revised version: 24 February 2003 / Published online: 27 May 2003)

Abstract
The cross-sections for the reactions of muonium (anti-muonium) production in the high-energy electron (positron) scattering by nuclei $e^-(e^+) + Z \to Z + M^0(\bar{M}^0) + \mu^-(\mu^+)$ are calculated in dependence on energy and polarization of the initial electron (positron) and polarization of the final $\mu^-(\mu^+)$ -meson. Since this is a coherent phenomenon the cross-sections are proportional to Z². For $Z \sim 100$ , due to the factor Z², the cross-sections are large enough to be measured at the energies available for the HERA Collider at DESY. The results are discussed in connection with a test of CPT invariance.

PACS
11.10.-z - Field theory.
13.40.-f - Electromagnetic processes and properties.
13.66.De - Lepton production in e^- e⁺ interactions.
13.66.Jn - Precision measurements in e^- e⁺ interactions.

© Società Italiana di Fisica, Springer-Verlag 2003