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.

42 pages, 9 figures

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• Quarkonia and their transitions
• Nonperturbative determination of the QCD potential at O(1/m)
• Spin-dependent potentials from lattice QCD
• The QCD static energy at NNNLL
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• Radiative transitions of charmonium states in the covariant confined quark model