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True muonium resonant production at $e^+e^-$ colliders with standard crossing angle

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arxiv 2309.11683 v3 pith:XTMJ4ABL submitted 2023-09-20 hep-ph hep-ex

classification hep-phhep-ex
keywords truecrossinglargemuoniumanglecolliderlifetimesmallest
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

True muonium ($\mu^+\mu^-$) is the heaviest and smallest bound state not involving quantum chromodynamics, after true tauonium ($\tau^+\tau^-$) and mu-tauonium ($\mu^\pm\tau^\mp$). Unlike atoms containing $\tau$ particles, the muon lifetime is long enough to allow observation of true muonium (TM) decays and transitions. One of the proposed methods to observe the spin 1 fundamental state of TM, which has the smallest lifetime among TM spin 1 states, was to build an $e^+e^-$ collider with a large crossing angle ($\theta \sim 30^\circ$) in order to provide TM with a large boost and detect its decay vertex in $e^+ e^-$. The following paper will instead show that TM excited states ($n\geq2$) can be observed in relatively large quantities ($\mathcal{O}$(10)/month) at a feasible $e^+e^-$ collider with standard crossing angles, after setting their center-of-mass energy to the TM mass ($\sim2m_{\mu}=211.4$ MeV).

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Creating true muonium via charmonium radiative decay

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Predicts Br(J/psi -> gamma + true para-muonium) around 7e-13, implying about 2-3 events per year at the proposed Super Tau-Charm Facility.

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