Charmed mesons with a symmetry-preserving contact interaction

Abstract

A symmetry-preserving treatment of a vector-vector contact interaction is used to study charmed heavy-light mesons. The contact interaction is a representation of nonperturbative kernels used in Dyson-Schwinger and Bethe-Salpeter equations of QCD. The Dyson-Schwinger equation is solved for the $u,d,s$ and $c$ quark propagators and the bound-state Bethe-Salpeter amplitudes respecting spacetime-translation invariance and the Ward-Green-Takahashi identities associated with global symmetries of QCD are obtained to calculate masses and electroweak decay constants of the pseudoscalar $\pi ,K$, $D$ and $D_s$ and vector $\rho$, $K^{\ast }$, $D^{\ast }$, and $D_s^{\ast }$ mesons. The predictions of the model are in good agreement with available experimental and lattice QCD data.