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.