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.
Feynman-Hellmann theorem for resonances and the quest for QCD exotica
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abstract
The generalization of the Feynman-Hellmann theorem for resonance states in quantum field theory is derived. On the basis of this theorem, a criterion is proposed to study the possible exotic nature of certain hadronic states emerging in QCD. It is shown that this proposal is supported by explicit calculations in Chiral Perturbation Theory and by large-$N_c$ arguments. Analyzing recent lattice data on the quark mass dependence in the pseudoscalar, vector meson, baryon octet and baryon decuplet sectors, we conclude that, as expected, these are predominately quark-model states, albeit the corrections are non-negligible.
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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.