Heavy- to light-meson transition form factors

M. A. Ivanov, Yu. L. Kalinovsky, P. Maris, and C. D. Roberts
Phys. Rev. C 57, 1991 – Published 1 April 1998
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Abstract

Semileptonic heavyheavy and heavylight 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 favors fB in the range 0.1350.17 GeV and with E=0.44 GeV and 1/Λ=0.14 fm we obtain f+Bπ(0)=0.46. As a result of neglecting 1/mc corrections, we estimate that our calculated values of ρ2=0.87 and f+DK(0)=0.62 are too low by approximately 15%. However, the bulk of these corrections should cancel in our calculated values of Br(Dπlν)/Br(DKlν)=0.13 and f+Dπ(0)/f+DK(0)=1.16.

  • Received 12 November 1997

DOI:https://doi.org/10.1103/PhysRevC.57.1991

©1998 American Physical Society

Authors & Affiliations

M. A. Ivanov1, Yu. L. Kalinovsky2, P. Maris3, and C. D. Roberts3

  • 1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 2Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 3Physics Division, Building 203, Argonne National Laboratory, Argonne, Illinois 60439-4843

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Vol. 57, Iss. 4 — April 1998

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