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Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach

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Abstract.

We extend the calculation of relativistic bound states of a fermion anti-fermion pair in the Bethe-Salpeter formalism to the case of total angular momentum \( J=3\) . Together with results for \( J \le 2\) this allows for the investigation of Regge trajectories in this approach. We exemplify such a study for ground and excited states of light unflavored mesons as well as strange mesons within the rainbow-ladder approximation. For the \( \rho\) - and \( \phi\) -meson we find a linear Regge trajectory within numerical accuracy. Discrepancies with experiment in other channels highlight the need to go beyond rainbow ladder and to consider effects such as state mixing and more sophisticated quark-antiquark interaction kernels.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392, Giessen, Germany

    Christian S. Fischer, Stanislav Kubrak & Richard Williams

Authors
  1. Christian S. Fischer
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  2. Stanislav Kubrak
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  3. Richard Williams
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Correspondence to Christian S. Fischer.

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Communicated by R. Alkofer

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Fischer, C., Kubrak, S. & Williams, R. Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach. Eur. Phys. J. A 50, 126 (2014). https://doi.org/10.1140/epja/i2014-14126-6

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  • DOI: https://doi.org/10.1140/epja/i2014-14126-6

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