Estimation of coupling constants for D-meson, charmed, and light baryons in effective Lagrangian approach and quark model
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 $Λ_{c} \to DN$, $Σ_{c} \to D Δ$, $Σ_{c} \to D^{*} Δ$, and $Λ_{c} \to D^{*}N$ in effective Lagrangian method and quark model picture with $^{3}P_{0}$ model. By employing the coupling constants for $D^{*} Λ_{c} N$ interaction from several literatures, the strength parameter $λ$ for $^{3}P_{0}$ quark model is fixed in the decay process $Λ_{c} \to D^{*}N$. Then, the coupling constants for the effective Lagrangians of $DΛ_{c}N$, $DΣ_{c}Δ$, and $D^{*}Σ_{c}Δ$ interactions are estimated in the decay channels $Λ_{c} \to DN$, $Σ_{c} \to D Δ$, and $Σ_{c} \to D^{*} Δ$, respectively. These coupling constants will be useful for further studies of charm hadrons.