Isgur-Wise Function from Bethe-Salpeter Amplitude

Details Isgur-Wise Function from Bethe-Salpeter Amplitude Isgur-Wise Function from Bethe-Salpeter Amplitude

1993-12-14

arxiv.org/abs/hep-ph/9312267v2

Prog.Theor.Phys.91:521-540,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, Plain TeX, 1 epsf and 6 PostScript files are included, KUNS 1234

Scientific paper

10.1143/PTP.91.521

We develop the improved ladder approximation to QCD in order to apply it to the heavy quark mesons. The resulting Bethe-Salpeter equation is expanded in powers of the inverse heavy quark mass 1/M, and is shown to be consistent with the heavy quark spin symmetry. We calculate numerically the universal leading order BS amplitude for heavy pseudoscalar and vector mesons, and use this to evaluate the Isgur-Wise function and the decay constant F_B. The resulting Isgur-Wise function predicts a large charge radius, rho^2 = 1.8 - 2.0, which when fitted to the ARGUS data corresponds to the value Vcb = .044 - .050 for the Kobayashi-Maskawa matrix element.

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