Pion model with the Nakanishi integral representation

Authors

  • R. Moreira Moita Instituto Tecnologico de Aeronáutica, DCTA
  • Joao de Mello LFTC - Univeridade Cruzeiro do Sul / UNICID
  • T. Federico Instituto Tecnologico de Aeronáutica, DCTA
  • W. de Paula Instituto Tecnologico de Aeronáutica, DCTA

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308089

Keywords:

QCD, Pion, Bethe-Salpeter amplitude, Nakanishi Integral Representation.

Abstract

In the present work, we describe a model for the pion based on an analytic expression for the Bethe-Salpeter (BSA) amplitude, combined with some ingredients from Lattice QCD calculations. The running quark mass function M(p2), used here, reproduces well the results of Lattice QCD calculations. The analytical form of the running quark mass function contains a single time-like pole, which implies in time-like poles of the dressed quark propagator. Such a form allows to build the weight functions, Gi(γ, z), for the Nakanishi integral representation of each scalar function, χi(k, p), appearing in the decomposition of the Bethe-Salpeter amplitude in terms of Dirac operators. Such scalar amplitudes can also be used to obtain the pion valence light-front wave function.

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Published

2022-06-14

How to Cite

1.
Moreira Moita R, de Mello J, Federico T, de Paula W. Pion model with the Nakanishi integral representation. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 14 [cited 2024 Dec. 21];3(3):0308089 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6192

Issue

Vol. 3 No. 3 (2022): Suplemento de la Revista Mexicana de Física. 19th International conference on hadron spectroscopy and structure in memoriam Simon Eidelman

Section

QCD and hadron structure

License

Copyright (c) 2022 R. Moreira Moita, Joao de Mello, T. Federico, W. de Paula (Author)

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