We have studied the production of charged D* mesons in e+ e- annihilation at an average center-of-mass energy of 58.0 GeV. Charged D* mesons were identified using two independent methods; the mass-difference method and the detection of the low transverse-momentum pion. The forward-backward asymmetry of the charm quark production was measured to be Ac= -0.61±0.13(stat.)±0.08(syst.). The cross section of inclusive D* production was found to be σ(e+ e-→D* ±+X) = 24.5 ± 5.3 (stat.)±3.0(syst.) pb. If we assume the standard model prediction for the charm quark production, we obtain the branching ratio for the charm quark to produce a charged D* meson to be Br(c→D*+ + X) = (22±5(stat.)±3(syst.))%.
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