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Based on electron positron collision data collected with the BESIII detector operating at the BEPCII storage rings, the differential cross sections of inclusive π0 and K0S production as a function of hadron momentum, normalized by the total cross section of the e+e−→ hadrons process, are measured at six center-of-mass energies from 2.2324 to 3.6710 GeV. Our results with a relative hadron energy coverage from 0.1 to 0.9 significantly deviate from several theoretical calculations based on existing fragmentation functions, especially at lower energies.
Using 7.93 fb−1 of e+e− collision data collected at the center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the absolute branching fractions of D0→K−e+νe, D0→K−μ+νμ, D+→K¯0e+νe, and D+→K¯0μ+νμ to be (3.509±0.009stat.±0.013syst.)%, (3.408±0.011stat.±0.013syst.)%, (8.856±0.039stat.±0.078syst.)%, and (8.661±0.046stat.±0.080syst.)%, respectively. By performing a simultaneous fit to the partial decay rates of these four decays, the product of the hadronic form factor fK+(0) and the modulus of the c→s CKM matrix element |Vcs| is determined to be fK+(0)|Vcs|=0.7162±0.0011stat.±0.0012syst.. Taking the value of |Vcs|=0.97349±0.00016 from the standard model global fit or that of fK+(0)=0.7452±0.0031 from the LQCD calculation as input, we derive the results fK+(0)=0.7357±0.0011stat.±0.0012syst. and |Vcs|=0.9611±0.0015stat.±0.0016syst.±0.0040LQCD.