# SU(4) flavor symmetry breaking in D-meson couplings to light hadrons

## TL;DR

This paper investigates the extent of SU(4) flavor symmetry breaking in D-meson couplings to light hadrons using quark models, revealing significant symmetry breaking that impacts D-meson interactions and bound state predictions.

## Contribution

The study quantifies SU(4) flavor symmetry breaking in D-meson couplings using quark models, providing new insights into the magnitude of symmetry violation.

## Key findings

- SU(4) symmetry broken by about 30% in D-meson couplings
- 20% symmetry breaking in baryon-baryon-meson couplings
- Implications for D-meson interactions and bound states in nuclei

## Abstract

The validity of SU(4)-flavor symmetry relations of couplings of charmed $D$ mesons to light mesons and baryons is examined with the use of $^3{\rm P}_0$ quark-pair creation model and nonrelativistic quark model wave functions. We focus on the three-meson couplings $\pi\pi\rho$, $KK\rho$ and $DD\rho$ and baryon-baryon-meson couplings $NN\pi$, $N\Lambda K$ and $N\Lambda_c D$. It is found that SU(4)-flavor symmetry is broken at the level of 30% in the $DD\rho$ tree-meson couplings and 20% in the baryon-baryon-meson couplings. Consequences of these findings for DN cross sections and existence of bound states D-mesons in nuclei are discussed.