Production of bound {${\mu }^{+}{\mu }^{-}$}-systems in relativistic heavy ion collisions

Abstract

Dimuonium (the bound system of two muons, ${\mu }^{+}{\mu }^{-}$-atom) has not been observed yet. In this paper we discuss the electromagnetic production of dimuonium at RHIC and LHC in relativistic heavy ion collisions. The production of parastates is analyzed in the equivalent photon approximation. For the treatment of orthostates, we develop a three photon formalism. We determine the production rates at RHIC and LHC with an accuracy of a few percent and discuss problems related to the observation of dimuonium.

20 pages, RevTex, 7 figures

Cited by in corpus (28)

• Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
• Lepton Flavor Violation Induced by a Neutral Scalar at Future Lepton Colliders
• The Production and Discovery of True Muonium in Fixed-Target Experiments
• Probing TeV scale origin of neutrino mass at future lepton colliders via neutral and doubly-charged scalars
• Three-photon-annihilation contributions to positronium energies at order $m{\alpha }^7$
• Production of bound triplet ${\mu }^{+}{\mu }^{-}$ system in collisions of electrons with atoms
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• True muonium production in ultraperipheral $PbPb$ collisions
• Electroweak Corrections to the True Muonium Hyperfine Splitting
• Ditauonium spectroscopy
• Predicting and Discovering True Muonium
• Photoproduction of relativistic QED bound states in hadronic collisions
• Production of dileptonic bound states in the Higgs boson decay
• True muonium resonant production at $e^{+}{e}^{-}$ colliders with standard crossing angle
• Discovering True Muonium in $K_L\to ({\mu }^{+}{\mu }^{-})\gamma$
• Scouring meson decays for true muonium
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Feasibility study of True Muonium discovery with CERN-SPS H4 positron beam
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Production of true para-muonium in linearly polarized photon fusions
• Decay of the dimuonium into a photon and a neutral pion
• Nonperturbative True Muonium on the Light Front with TMSWIFT
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• Transition of dimuonium through foil
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED
• Muon trident process at far-forward LHC detectors
• Trigonometric identities inspired by atomic form factor
• Production of leptonium in heavy quarkonium decays