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First Look at Heavy–Light Mesons with a Dressed Quark–Gluon Vertex

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Abstract

Following up on earlier work, we investigate possible effects of a dressed quark–gluon vertex in heavy–light mesons. In particular, we study corrections to the popular rainbow-ladder truncation of the Dyson–Schwinger–Bethe–Salpeter equation system. We adopt a simple interaction kernel which reduces the resulting set of coupled integral equations to a set of coupled algebraic equations, which are solved numerically. In this way, we extend previous studies to quark–antiquark systems with unequal current-quark masses, at first for the pseudoscalar case, and investigate the resulting set of problems and solutions. We attempt to find patterns in—as well as to quantify corrections to—the rainbow-ladder truncation. In addition, we open this approach to phenomenological predictions of the heavy quark symmetry.

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Authors and Affiliations

  1. Institute of Physics, NAWI Graz, University of Graz, 8010, Graz, Austria

    María Gómez-Rocha, Thomas Hilger & Andreas Krassnigg

Authors
  1. María Gómez-Rocha
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  2. Thomas Hilger
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  3. Andreas Krassnigg
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Correspondence to María Gómez-Rocha.

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Gómez-Rocha, M., Hilger, T. & Krassnigg, A. First Look at Heavy–Light Mesons with a Dressed Quark–Gluon Vertex. Few-Body Syst 56, 475–480 (2015). https://doi.org/10.1007/s00601-014-0938-8

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  • DOI: https://doi.org/10.1007/s00601-014-0938-8

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