- th / 9 71 10 23 v 1 1 2 N ov 1 99 7 Preprint Numbers

نویسنده

  • C. D. Roberts
چکیده

Semileptonic heavy → heavy and heavy → light meson transitions are studied as a phenomenological application of a heavy-quark limit of Dyson-Schwinger equations. Employing two parameters: E, the difference between the mass of the heavy meson and the effective-mass of the heavy quark; and Λ, the width of the heavy-meson Bethe-Salpeter amplitude, we calculate f+(t) for all decays on their entire kinematically accessible t-domain. Our study favours fB in the range 0.135-0.17GeV and with E = 0.44GeV and 1/Λ = 0.14 fm we obtain fBπ + (0) = 0.46. As a result of neglecting 1/mc-corrections, we estimate that our calculated values of ρ2 = 0.87 and fDK + (0) = 0.62 are too low by approximately 15%. However, the bulk of these corrections should cancel in our calculated values of Br(D → πlν)/Br(D → Klν) = 0.13 and fDπ + (0)/f DK + (0) = 1.16. Typeset using REVTEX

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تاریخ انتشار 1997