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arXiv · 1406.4370

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

Christian S. Fischer·Stanislav Kubrak·Richard Williams
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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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Christian S. Fischer, Stanislav Kubrak, Richard Williams. 2014-06-17. Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach. https://doi.org/10.1140/epja/i2014-14126-6

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