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

TL;DR

This paper estimates coupling constants for D-meson, charmed, and light baryons using decay processes within effective Lagrangian and quark models, providing key parameters for future charm hadron research.

Contribution

It introduces a method to determine coupling constants for charm baryon interactions by combining effective Lagrangian calculations with the quark model, fixing parameters from decay data.

Findings

Coupling constants for DΛ_cN, DΣ_cΔ, and D*Σ_cΔ interactions are estimated.

Decay widths are calculated using both effective Lagrangian and quark model approaches.

The strength parameter λ for the ^3P_0 quark model is fixed from decay data.

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 $\Lambda_{c} \to DN$, $\Sigma_{c} \to D \Delta$, $\Sigma_{c} \to D^{*} \Delta$, and $\Lambda_{c} \to D^{*}N$ in effective Lagrangian method and quark model picture with $^{3}P_{0}$ model. By employing the coupling constants for $D^{*} \Lambda_{c} N$ interaction from several literatures, the strength parameter $\lambda$ for $^{3}P_{0}$ quark model is fixed in the decay process $\Lambda_{c} \to D^{*}N$. Then, the coupling constants for the effective Lagrangians of $D\Lambda_{c}N$, $D\Sigma_{c}\Delta$, and $D^{*}\Sigma_{c}\Delta$ interactions are estimated in the decay channels $\Lambda_{c} \to DN$, $\Sigma_{c} \to D \Delta$, and $\Sigma_{c} \to D^{*} \Delta$, respectively. These coupling constants will be useful for further studies of charm hadrons.