Pion observables with the Minkowski Space Pion Model
J. P. B. C. de Melo (Laborat\'orio de F\'isica Te\'orica e, Computacional, LFTC/Universidade Cruzeiro do Sul/Universidade Cidade de S\~ao, Paulo), R\^omulo M. Moita, Tobias Frederico (Instituto Tecnol\'ogico de, Aeron\'autica, DCTA 12.228-900 S\~ao Jos\'e dos Campos, SP, Brazil)
TL;DR
This paper develops a Minkowski space pion model combining Bethe-Salpeter amplitude and lattice QCD data to analyze pion observables and electromagnetic form factors, exploring sensitivity to quark self-energy variations.
Contribution
It introduces a Nakanishi integral representation for the pion Bethe-Salpeter amplitude and investigates the impact of quark self-energy variations on pion form factors.
Findings
The model successfully describes pion observables in Minkowski space.
Electromagnetic form factors show sensitivity to quark self-energy variations.
Extended the model with a new Nakanishi integral representation.
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.
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