The chromoelectric polarizability of an unstable quarkonium is the complex-pole curvature equal to the complete two-field vertex divided by the energy derivative of the inverse propagator, recovering the stable-state result in the narrow limit.
How to define physical properties of unstable particles
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In the framework of effective quantum field theory we address the definition of physical quantities characterizing unstable particles. With the aid of a one-loop calculation, we study this issue in terms of the charge and the magnetic moment of a spin-1/2 resonance. By appealing to the invariance of physical observables under field redefinitions we demonstrate that physical properties of unstable particles should be extracted from the residues at complex (double) poles of the corresponding S-matrix.
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Complex chromoelectric polarizability of a heavy-quarkonium resonance: pole definition and channel-complete pNRQCD matching
The chromoelectric polarizability of an unstable quarkonium is the complex-pole curvature equal to the complete two-field vertex divided by the energy derivative of the inverse propagator, recovering the stable-state result in the narrow limit.