Quark-hadron duality in the {close_quote}t Hooft model for meson weak decays: Different quark diagram topologies
- Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)
- Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
We compare the effects of different quark diagram topologies on the weak hadronic width of heavy-light mesons in the large N{sub c} limit. We enumerate the various topologies and show that the only one dominant (or even comparable) in powers of N{sub c} to the noninteracting spectator {open_quotes}tree{close_quotes} diagram is the {open_quotes}annihilation{close_quotes} diagram, in which the valence quark-antiquark pair annihilates weakly. We compute the amplitude for this diagram in the {close_quote}t Hooft model (QCD in 1+1 spacetime dimensions with a large number of colors N{sub c}) at the hadronic level and compare to the Born term partonic level. We find that quark-hadron duality is not well satisfied, even after the application of a smearing procedure to the hadronic result. A number of interesting subtleties absent from the tree diagram case arise in the annihilation diagram case, and are described in detail. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 306273
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 59; ISSN 0556-2821; ISSN PRVDAQ
- Country of Publication:
- United States
- Language:
- English
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