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RESEARCH PRODUCT
Light-by-light forward scattering sum rules for charmonium states
Marc VanderhaeghenIgor Danilkinsubject
PhysicsParticle physics010308 nuclear & particles physicsScatteringAstrophysics::High Energy Astrophysical PhenomenaQuark modelDuality (optimization)FOS: Physical sciencesState (functional analysis)Coupling (probability)01 natural sciencesHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesBound stateHigh Energy Physics::ExperimentContinuum (set theory)Sum rule in quantum mechanics010306 general physicsdescription
We apply three forward light-by-light scattering sum rules to charmonium states. We show that these sum rules imply a cancellation between charmonium bound state contributions, which are mostly known from the $\gamma \gamma$ decay widths of these states, and continuum contributions above $D \bar D$ threshold, for which we provide a duality estimate. We also show that two of these sum rules allow to predict the yet unmeasured $\gamma^\ast \gamma$ coupling of the $\chi_{c1}(1P)$ state, which can be tested at present high-luminosity $e^+ e^-$ colliders.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-02 |