| Summary: | There is great recent interest in the study of bound states of charmed hadrons with atomic nuclei. The studies rely on effective interactions expressed through couplings between charmed and light-flavored hadrons whose values are fixed using SU(4) flavor symmetry. In the present communication we present results of recent studies examining the accuracy of SU(4)-flavor symmetry relations between hadron-hadron couplings with particular interest in the couplings of charmed D mesons to light mesons and nucleons. We discuss results obtained from a 3P0 quark-pair creation model and from a framework based on Dyson-Schwinger equations in QCD that incorporates a consistent, direct and simultaneous description of light- and heavy-quarks. We focus on the three-meson couplings ρππ, ρKK, and ρDD and meson-baryon-brayon couplings πNN, KΛsN, and DΛcN. While the 3P0 model predicts that the SU(4) breaking is at most 40% in the charm sector, the relativistic Dyson-Schwinger framework predicts a breaking 10 times bigger. Consequences of these findings for the predictions of DN cross sections, formation of bound states of D-mesons and J/Ψ, and the formation of charmed hypernuclei are discussed.
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