Quark-hadron duality in the 't Hooft model for meson weak decays: Different quark diagram topologies
The authors compare the effects of different quark diagram topologies on the weak hadronic width of heavy-light mesons in the large N{sub c} limit. They enumerate the various topologies and show that the only one dominant (or even comparable) in powers of N{sub c} to the noninteracting spectator ''tree'' diagram is the ''annihilation'' diagram, in which the valence quark-antiquark pair annihilate weakly. They compute the amplitude for this diagram in the '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. They 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 755932
- Report Number(s):
- DOE/ER/40150-1502; JLAB-THY-98-18; UCSD/PTH-98-14; hep-ph/9805404
- Journal Information:
- Phys.Rev. D59 (1999) 054022, Journal Name: Phys.Rev. D59 (1999) 054022
- Country of Publication:
- United States
- Language:
- English
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