$\Lambda_c\Sigma_c\pi$ coupling and $\Sigma_c \rightarrow\Lambda_c \pi$ decay in lattice QCD

TL;DR

This study calculates the coupling constant and decay width of $ ext{Σ}_c ightarrow ext{Λ}_c ext{π}$ decay using lattice QCD, providing results consistent with experimental data.

Contribution

First lattice QCD calculation of the $ ext{Λ}_c ext{Σ}_c ext{π}$ coupling and decay width across multiple pion masses, approaching physical quark masses.

Findings

Coupling constant $G_{Λ_c Σ_c π} = 18.332(1.476)_{stat}(2.171)_{syst}$

Decay width $ ext{Γ}( ext{Σ}_c ightarrow ext{Λ}_c ext{π})=1.65(28)_{stat}(30)_{syst}$ MeV

Results agree with recent experimental measurements.

Abstract

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