Measurement of absolute branching fraction of the inclusive decay $\Lambda_{c}^{+} \to \Lambda + X$

Based on an e+e− collision data sample corresponding to an integrated luminosity of 567  pb−1 taken at the center-of-mass energy of √s=4.6  GeV with the BESIII detector, we measure the absolute branching fraction of the inclusive decay Λ+c→Λ+X to be B(Λ+c→Λ+X)=(38.2+2.8−2.2±0.9)% using the double-tag method, where X refers to any possible final state particles. In addition, we search for direct CP violation in the charge asymmetry of this inclusive decay for the first time, and obtain ACP≡[B(Λ+c→Λ+X)−B(¯Λ−c→¯Λ+X)]/[B(Λ+c→Λ+X)+B(¯Λ−c→¯Λ+X)]=(2.1+7.0−6.6±1.6)%, a statistically limited result with no evidence of CP violation.