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

High Energy Physics - Phenomenology 2024-09-18 v3 High Energy Physics - Experiment

Abstract

True muonium (μ+μ\mu^+\mu^-) is the heaviest and smallest bound state not involving quantum chromodynamics, after true tauonium (τ+τ\tau^+\tau^-) and mu-tauonium (μ±τ\mu^\pm\tau^\mp). Unlike atoms containing τ\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+ee^+e^- collider with a large crossing angle (θ30\theta \sim 30^\circ) in order to provide TM with a large boost and detect its decay vertex in e+ee^+ e^-. The following paper will instead show that TM excited states (n2n\geq2) can be observed in relatively large quantities (O\mathcal{O}(10)/month) at a feasible e+ee^+e^- collider with standard crossing angles, after setting their center-of-mass energy to the TM mass (2mμ=211.4\sim2m_{\mu}=211.4 MeV).

Keywords

Cite

@article{arxiv.2309.11683,
  title  = {True muonium resonant production at $e^+e^-$ colliders with standard crossing angle},
  author = {Ruben Gargiulo and Elisa Di Meco and Daniele Paesani and Stefano Palmisano and Eleonora Diociaiuti and Ivano Sarra},
  journal= {arXiv preprint arXiv:2309.11683},
  year   = {2024}
}
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