The ratios of the branching fractions of the decays c + p+, c + pKK+, and c + pK+ with respect to the Cabibbo-favoured c + pK+ decay are measured using proton-proton collision data collected with the LHCb experiment at a 7 TeV centre-of-mass energy and corresponding to an integrated luminosity of 1.0 fb1: B(+cp+)B(+cpK+)=(7.44±0.08±0.18)%,B(+cpKK+)B(+cpK+)=(1.70±0.03±0.03)%B(+cpK+)B(+cpK+)=(0.165±0.015±0.005)%,B(c+p+)B(c+pK+)=(7.44±0.08±0.18)%,B(c+pKK+)B(c+pK+)=(1.70±0.03±0.03)%B(c+pK+)B(c+pK+)=(0.165±0.015±0.005)%, \begin{array}{l}\frac{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{\pi}^{-}{\pi}^{+}\right)}{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{\pi}^{+}\right)}=\left(7.44\pm 0.08\pm 0.18\right)\%,\hfill \\ {}\frac{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{K}^{+}\right)}{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{\pi}^{+}\right)}=\left(1.70\pm 0.03\pm 0.03\right)\%\hfill \\ {}\frac{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{\pi}^{-}{K}^{+}\right)}{\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{\pi}^{+}\right)}=\left(0.165\pm 0.015\pm 0.005\right)\%,\hfill \end{array} where the uncertainties are statistical and systematic, respectively. These results are the most precise measurements of these quantities to date. When multiplied by the world-average value for B(+cpK+)B(c+pK+) \mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{\pi}^{+}\right) , the corresponding branching fractions are B(+cp+)=(4.72±0.05±0.11±0.25)×103,B(+cpKK+)=(1.08±0.02±0.02±0.06)×103,B(+cpK+)=(1.04±0.09±0.03±0.05)×104,B(c+p+)=(4.72±0.05±0.11±0.25)×103,B(c+pKK+)=(1.08±0.02±0.02±0.06)×103,B(c+pK+)=(1.04±0.09±0.03±0.05)×104, \begin{array}{l}\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{\pi}^{-}{\pi}^{+}\right)=\left(4.72\pm 0.05\pm 0.11\pm 0.25\right)\times {10}^{-3},\hfill \\ {}\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{K}^{+}\right)=\left(1.08\pm 0.02\pm 0.02\pm 0.06\right)\times {10}^{-3},\hfill \\ {}\mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{\pi}^{-}{K}^{+}\right)=\left(1.04\pm 0.09\pm 0.03\pm 0.05\right)\times {10}^{-4},\hfill \end{array} where the final uncertainty is due to B(+cpK+)B(c+pK+) \mathrm{\mathcal{B}}\left({\varLambda}_c^{+}\to p{K}^{-}{\pi}^{+}\right) . Open image in new window
