Meson coupling constants at high mass and large N_c

dc.creatorCohen, Thomas D.
dc.creatorWerbos, Elizabeth S.
dc.date2006-12-19
dc.date2007-06-25
dc.date.accessioned2026-07-07T11:03:03Z
dc.date.available2026-07-07T11:03:03Z
dc.descriptionQuark-hadron duality implies that a process described in terms of quark loops should be the hadronic amplitude when averaged over a sufficient number of states. Ambiguities associated with the notion of quark hadron duality can be made arbitrarily small for highly excited mesons at large $N_c$. QCD is expected to form a string like description at large $N_c$ yielding an exponentially increasing Hagedorn spectrum for high mass. It is shown that in order to reconcile quantum-hadron duality with a Hagedorn spectrum, the magnitude of individual coupling constants between high-lying mesons in a typical decay process must be characteristically larger than the average of the coupling constants to mesons with nearby masses. The ratio of the square of the average coupling to the average of the coupling squared (where the average is over mesons with nearby masses) drops {\it exponentially} with the mass of the meson. Scenarios are discussed by which such a high precision cancellation can occur.
dc.description6 pages, reorganized (moved calculations to appendix)
dc.identifierhttps://arxiv.org/abs/hep-th/0612209
dc.identifierhttp://arxiv.org/abs/hep-th/0612209
dc.identifierPhys.Lett.B653:224-229,2007
dc.identifierdoi:10.1016/j.physletb.2007.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188456
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleMeson coupling constants at high mass and large N_c
dc.typetext

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