Estimation of coupling constants for D-meson, charmed, and light baryons in effective Lagrangian approach and quark model

Abstract

We estimate coupling constants for effective Lagrangians of D-meson, charmed, and light baryons from charmed baryon decay processes. First, we calculate decay widths for the processes $\varLambda _{c} \rightarrow D^{*}N$, $\varLambda _{c} \rightarrow DN$, $\varSigma _{c} \rightarrow D N$ , $\varSigma _{c} \rightarrow D \varDelta$, and $\varSigma _{c} \rightarrow D^{*} \varDelta$ in effective Lagrangian method and quark model picture with $^{3}P_{0}$ model. By employing the coupling constants for $D^{*} \varLambda _{c} N$ interaction from several literatures, the strength parameter $\lambda$ for $^{3}P_{0}$ quark model is fixed in the decay process $\varLambda _{c} \rightarrow D^{*}N$. Then, the coupling constants for the effective Lagrangians of $D\varLambda _{c}N$, $D\varSigma _{c}N$, $D\varSigma _{c}\varDelta$, and $D^{*}\varSigma _{c}\varDelta$ interactions are estimated in the decay channels $\varLambda _{c} \rightarrow DN$, $\varSigma _{c} \rightarrow D N$, $\varSigma _{c} \rightarrow D \varDelta$, and $\varSigma _{c} \rightarrow D^{*} \varDelta$, respectively. Then, the coupling constants for $D\varSigma _{c}N$, $D^{*}\varSigma _{c}N$, and $D^{*}\varSigma _{c}^{*}\varDelta$ interactions are calculated from heavy-quark and large-$N_c$ sum rules. The coupling constants from this study will be useful for further studies of charm hadrons.