Improved measurements of the absolute branching fractions of the inclusive decays $D^{+(0)}\to\phi X$

Abstract

By analyzing 2.93 fb$^{−1}$ of $e^+e^−$ annihilation data taken at the center-of-mass energy $\sqrt s$= 3.773 GeV with the BESIII detector, we determine the branching fractions of the inclusive decays $D^+\to\phi X$ and $D^0\to\phi X$ to be (1.135 ± 0.034 ± 0.031)% and (1.091 ± 0.027 ± 0.035)% , respectively, where $X$ denotes any possible particle combination. The first uncertainties are statistical, and the second are systematic. We also determine the branching fractions of the decays $D\to\phi X$ and their charge conjugate modes $\bar{D}\to\phi \bar{X}$ separately for the first time, and no significant CP asymmetry is observed.