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T-odd momentum correlation in radiative β decay

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Abstract

The triple-product correlations observable in ordinary neutron or nuclear beta decay are all naively T violating and can connect, through an assumption of CPT invariance, to constraints on sources of CP violation beyond the Standard Model. They are also spin dependent. In this context the study of radiative beta decay opens a new possibility, in that a triple-product correlation can be constructed from momenta alone. Consequently its measurement would constrain new spin-independent sources of CP violation. We will describe these in light of the size of the triple momentum correlation in the decay rate arising from electromagnetic final-state interactions in the Standard Model. Our expression for the corresponding T-odd asymmetry is exact in \({\cal O}(\alpha)\) up to terms of recoil order, and we evaluate it numerically under various kinematic conditions. We consider the pattern of the asymmetries in nuclear β decays and show that the asymmetry can be suppressed in particular cases, facilitating searches for new sources of CP violation in such processes.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Kentucky, Lexington, KY, 40506-0055, USA

    Susan Gardner & Daheng He

Authors
  1. Susan Gardner
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  2. Daheng He
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Corresponding author

Correspondence to Susan Gardner.

Additional information

We acknowledge partial support from the U.S. Department of Energy under contract no. DE-FG02-96ER40989.

The 5th International Symposium on Symmetries in Subatomic Physics (SSP 2012), Groningen, The Netherlands, 18–22 June 2012.

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Gardner, S., He, D. T-odd momentum correlation in radiative β decay. Hyperfine Interact 214, 71–78 (2013). https://doi.org/10.1007/s10751-013-0781-1

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