Time Dependent Analysis of Decays ${\Lambda }_b\to \Lambda +D^0$ and ${\Lambda }_b\to \Lambda +{\bar{D}}^0$

Abstract

The time-dependent analysis of the decays ${\Lambda }_b\to \Lambda +D^0(t)$ and ${\Lambda }_b\to \Lambda +{\bar{D}}^0(t)$ is discussed. The effect of particle mixing due to time evolution of $D^0$ and ${\bar{D}}^0$ on the observables for these decays viz the branching ratio of decay widths and the asymmetry parameters $\alpha ,\beta$ and $\gamma$ are analysed. It is shown that it is possible to extract information about $(\Delta m/\Gamma )\sin \hat{\gamma }$ from the experimental data for these observables. Here $\Delta m=m_{D_1^0}-m_{D_2^0},\Gamma$ is the decay widths for $D^{\prime }s$ and $\hat{\gamma }$ is the weak phase.

Comments: 3 pages, Revtex, 3 jpg figures