Speaker
Description
In this talk I will present a dynamical model for the pion based on the solution of the Bethe-Salpeter equation in Minkowski space. For this end, we use the Nakanishi integral representation of the Bethe-Salpeter amplitude. The input of the interaction kernel has the quark and gluon masses, and also a scale parameter related to the extended quark-gluon vertex. Within this model, we obtain the pion weak decay constant, the valence probability, the LF-momentum distributions, the distribution amplitudes, the probability densities both in the LF-momentum space and the 3D space given by the Cartesian product of the covariant Ioffe-time and transverse coordinates [1]. In addition, we calculated the pion electromagnetic form factor with a good agreement with available experimental data [2].
References:
1. W. de Paula, E. Ydrefors, J. H. Alvarenga Nogueira, T. Frederico
and G. Salme, Phys. Rev. D 103 (2021) no.1, 014002
2. E. Ydrefors, W. de Paula, J. H. A. Nogueira, T. Frederico and
G. Salme, Phys. Lett. B 820 (2021), 136494