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

Understand

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.