Measurements of the branching fractions of Λ+c → pπ−π+, Λ+c → pK−K+, and Λ+c → pπ−K+

A bstract The ratios of the branching fractions of the decays Λ c + → pπ − π + , Λ c + → pK − K + , and Λ c + → pπ − K + with respect to the Cabibbo-favoured Λ c + → pK − π + 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 fb −1 : $$ {array}{l}{{B}({}_c⁺→ p{π}⁻{π}⁺)}{{B}({}_c⁺→ p{K}⁻{π}⁺)}=(7.44± 0.08± 0.18)%, \\ {}{{B}({}_c⁺→ p{K}⁻{K}⁺)}{{B}({}_c⁺→ p{K}⁻{π}⁺)}=(1.70± 0.03± 0.03)% \\ {}{{B}({}_c⁺→ p{π}⁻{K}⁺)}{{B}({}_c⁺→ p{K}⁻{π}⁺)}=(0.165± 0.015± 0.005)%, {array} $$ ℬ Λ c + → p π − π + ℬ Λ c + → p K − π + = 7.44 ± 0.08 ± 0.18 % , ℬ Λ c + → p K − K + ℬ Λ c + → p K − π + = 1.70 ± 0.03 ± 0.03 % ℬ Λ c + → p π − K + ℬ Λ c + → p K − π <mml:m