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

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 ${}^3{\mathrm{P}}_0$ 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.

arXiv comment5 pages, 3 figures

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• Femtoscopic correlations and the ${\Lambda }_{c}N$ interaction
• Nonmesonic weak decay of charmed hypernuclei
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Estimation of coupling constants for D-meson, charmed, and light baryons in effective Lagrangian approach and quark model
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