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.
Resonance form factors from finite-volume correlation functions with the external field method
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abstract
A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the L\"uscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram.
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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.