Form Factors in D Meson Decays

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We study the $dΓ/ dq^2$ spectra and the branching fractions of the $D$ meson exclusive semileptonic decays with the lepton mass effects into consideration. We investigate their sensitivity to form factor models, and find that the decays to a pseudoscalar meson and a lepton pair are sensitive to the property of the form factor $F_1(q^2)$, and those to a vector meson and a lepton pair to the form factor $A_1(q^2)$. We also analyze the experimental results of the branching fractions $\cal{B} (D^0\to K^- (or π^-) π^+)$ and $\cal{B} (D^0\to K^- (or π^-) e^+ ν)$, and show that it is implied that $F_1(q^2)$ is of dipole type, instead of simple pole type which is commonly assumed.
18 pages, 8 postscript figures. We corrected a mistake in computer program for the numerical calculation, and modified the title and contents

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