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 ${\Lambda }_c\to DN$, ${\Sigma }_c\to D\Delta$, ${\Sigma }_c\to D^{\ast }\Delta$, and ${\Lambda }_c\to D^{\ast }N$ in effective Lagrangian method and quark model picture with ${}^3{P}_0$ model. By employing the coupling constants for $D^{\ast }{\Lambda }_{c}N$ interaction from several literatures, the strength parameter $\lambda$ for ${}^3{P}_0$ quark model is fixed in the decay process ${\Lambda }_c\to D^{\ast }N$. Then, the coupling constants for the effective Lagrangians of $D{\Lambda }_{c}N$, $D{\Sigma }_c\Delta$, and $D^{\ast }{\Sigma }_c\Delta$ interactions are estimated in the decay channels ${\Lambda }_c\to DN$, ${\Sigma }_c\to D\Delta$, and ${\Sigma }_c\to D^{\ast }\Delta$, respectively. These coupling constants will be useful for further studies of charm hadrons.

arXiv comment5 pages, 2 figures

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