Model-independent Study of Electric Dipole Transitions in Quarkonium

Abstract

The paper contains a systematic, model-independent treatment of electric dipole (E1) transitions in heavy quarkonium. Within the effective field theory framework of potential non-relativistic QCD (pNRQCD), we derive the complete set of relativistic corrections of relative order v^2 both for weakly and strongly-coupled quarkonia. The result supports and complements former results from potential model calculations.

arXiv comment42 pages, 9 figures

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• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Spectrum and electromagnetic transitions of bottomonium
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Recent Results in Bottomonium
• Electric dipole transitions of $1P$ bottomonia
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• pNRQCD determination of E1 radiative transitions
• Relativistic two-body calculation of $b\bar{b}$-mesons radiative decays
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Dominant spin-orbit effects in radiative decays {${\rm Y}(3S\to \gamma {\chi }_{bJ}(1P))$}}
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• Radiative transitions among the vector and scalar heavy quarkonium states with covariant light-front quark model
• Radiative transitions of charmonium states in the covariant confined quark model