Possibility of extracting the weak phaseγfromΛb→ΛD0decays

Abstract

We explore the possibility of extracting the weak phase $\ensuremath{\gamma}$ from pure tree decays ${\ensuremath{\Lambda}}_{b}\ensuremath{\rightarrow}\ensuremath{\Lambda}{(D}^{0},\overline{{D}^{0}}{,D}_{\mathrm{CP}}^{0})$ in a model independent way. The $\mathrm{CP}$ violating weak phase $\ensuremath{\gamma}$ can be determined cleanly, without any hadronic uncertainties, as these decay modes are free from penguin pollution. Furthermore, neither tagging nor time dependent studies are required to extract the angle $\ensuremath{\gamma}$ with these modes.