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In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of quantum chromodynamics (QCD), we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present results for ground and excited meson states in the bottomonium and charmonium systems, where the results are surprisingly good for most states. In addition, we formulate a critical outlook on states with exotic quantum numbers as well as the light-quark domain.
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Hilger et al. (2015) studied this question.
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