Heavy- to light-meson transition form factors
- Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980Dubna (Russia)
- Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, 141980Dubna (Russia)
- Physics Division, Building 203, Argonne National Laboratory, Argonne, Illinois60439-4843 (United States)
Semileptonic heavy{r_arrow}heavy and heavy{r_arrow}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 {Lambda}, the width of the heavy-meson Bethe-Salpeter amplitude, we calculate f{sub +}(t) for all decays on their entire kinematically accessible t domain. Our study favors f{sub B} in the range 0.135{endash}0.17 GeV and with E=0.44 GeV and 1/{Lambda}=0.14 fm we obtain f{sub +}{sup B{pi}}(0)=0.46. As a result of neglecting 1/m{sub c} corrections, we estimate that our calculated values of {rho}{sup 2}=0.87 and f{sub +}{sup DK}(0)=0.62 are too low by approximately 15{percent}. However, the bulk of these corrections should cancel in our calculated values of Br(D{r_arrow}{pi}scr(l){nu})/Br(D{r_arrow}Kscr(l){nu})=0.13 and f{sub +}{sup D{pi}}(0)/f{sub +}{sup DK}(0)=1.16. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 627570
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 57; ISSN 0556-2813; ISSN PRVCAN
- Country of Publication:
- United States
- Language:
- English
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