of momenta. Clean kaon-pion separation is evident over the entire momentum range relevant for this analysis, where the track momentum ranges from 0.1 GeV/ c to ∼ 5 GeV/ c , and the average momentum is ∼ 1.3 GeV/ c . As discussed below, we choose a relatively stringent particle identification (PID) requirement for kaons ( L ( K ) / ( L ( K ) + L ( π )) > 0 . 9) and a less restrictive one for pions ( L ( K ) / ( L ( K ) + L ( π )) < 0 . 9). The kaon identification selection has an efficiency of ∼ 73% for kaons and rejects ∼ 95% of pions. The kaon and pion identification efficiencies are calibrated using kaon and pion tracks in data from kinematically identified D ∗ + decays, D ∗ + → D $^{0}$( → K $^{−}$π $^{+}$) π $^{+}$. We evaluate the efficiencies and fake rates for this calibration sample and compare them to Monte Carlo (MC) expectations. From this comparison, we obtain a correction table as a function of track momenta ( p$_{lab}$ ) and polar angles ( θ$_{lab}$ ), and apply it to the MC. The accuracy of the correction factor, which is the source of the systematic uncertainty of the evaluation of the branching fraction and the mass spectra, is limited by the statistical uncertainties of kaon and pion samples from D ∗ + decays in the certain p$_{lab}$ and θ$_{lab}$ bins, and the uncertainty of the D ∗ + signal extraction. The kaon identification criterion is determined by maximizing a figure-of-merit (FOM), where the requirement on the kaon identification likelihood ratio is varied. The figure-of- 8 FIG. 3: Likelihood ratio for kaon identification, L ( K ) / ( L ( K ) + L ( π )), versus particle momentum. The filled and open circles correspond to kinematically identified kaons and pions, respectively. ] c Momentum [GeV/ 0 1 2 3 4 5 )) L(K)/(L(K)+L( Likelihood ratio,  0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1