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Decay of a bound muon into a bound electron

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arxiv 2005.07276 v1 pith:WAL5ZUZW submitted 2020-05-14 hep-ph

Decay of a bound muon into a bound electron

classification hep-ph
keywords boundelectronmuonprobabilityrateanalyticatomclose
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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When a muon bound in an atom decays, there is a small probability that the daughter electron remains bound. That probability is evaluated. Surprisingly, a significant part of the rate is contributed by the negative energy component of the wave function, neglected in a previous study. A simple integral representation of the rate is presented. In the limit of close muon and electron masses, an analytic formula is derived.

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  1. Radiative Corrections in Bound States: Recent Results

    hep-ph 2026-06 unverdicted novelty 6.0

    New calculations of radiative corrections for bound-muon decay rates in light nuclei resolving a Z=8 discrepancy and for parapositronium three-photon decay including Z boson, with the latter rate much smaller than estimated.