Calculation ofBR(B¯0→Λc++p¯)in the perturbative QCD approach

Abstract

We calculate the branching ratio of ${\overline{B}}^{0}\ensuremath{\rightarrow}{\ensuremath{\Lambda}}_{c}^{+}\overline{p}$ in the PQCD approach. Most previous model calculations obtained branching ratios significantly larger than experimental data. We find that the predicted branching ratio for $\mathrm{BR}({\overline{B}}^{0}\ensuremath{\rightarrow}{\ensuremath{\Lambda}}_{c}^{+}\overline{p})$ in the PQCD approach can vary over a range of $(2.3\ensuremath{\sim}5.1)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ with the largest uncertainty coming from the parameters in the wave function of ${\ensuremath{\Lambda}}_{c}$. With the favored values for the parameters in the ${\ensuremath{\Lambda}}_{c}^{+}$ wave function, $\ensuremath{\beta}=1\text{ }\text{ }\mathrm{GeV}$ and ${m}_{q}=0.3\text{ }\text{ }\mathrm{GeV}$, the branching ratio is about $2.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ which is satisfactorily consistent with the value measured by experiments.