$Λ_cΣ_cπ$ coupling and $Σ_c \rightarrowΛ_c π$ decay in lattice QCD

Abstract

We evaluate the $Λ_cΣ_cπ$ coupling constant ($G_{Λ_c Σ_c π}$) and the width of the strong decay $Σ_c \rightarrowΛ_c π$ in 2+1 flavor lattice QCD on four different ensembles with pion masses ranging from 700 MeV to 300 MeV. We find $G_{Λ_c Σ_c π}=18.332(1.476)_{\rm{stat.}}(2.171)_{\rm{syst.}}$ and the decay width $Γ(Σ_c \rightarrowΛ_c π)=1.65(28)_{\rm{stat.}}(30)_{\rm{syst.}}$~MeV on the physical quark-mass point, which is in agreement with the recent experimental determination.

10 pages, 5 figures