arXiv:1912.07459·v1·High Energy Physics — Phenomenology
Pion observables with the Minkowski Space Pion Model
J. P. B. C. de Melo (Laboratório de Física Teórica e Computacional, LFTC/Universidade Cruzeiro do Sul/Universidade Cidade de São Paulo)🇧🇷 · Rômulo M. Moita🇧🇷 · Tobias Frederico (Instituto Tecnológico de Aeronáutica, DCTA 12.228-900 São José dos Campos, SP, Brazil)🇧🇷
Abstract
The pion structure in Minkowski space is described in terms of an analytic model of the Bethe-Salpeter amplitude combined with Euclidean Lattice QCD results for the running quark mass. In the present work, a pion model previously proposed, which allows for a Nakanishi integral representation, is studied in order to verify the sensitivity of the pion electromagnetic form factor to small variations of the quark self-energy. In addition, we extend the previous work, providing the Nakanishi integral representation for the invariants associated with a decomposition of the pion Bethe-Salpeter amplitude.
Comments: Use PoS style. Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions - LC2019 - 16-20 September 2019 -Ecole Polytechnique, Palaiseau, France