Pion constituent quarks couplings strong form factors: a dynamical approach

Abstract

Form factors for pions interactions with constituent quarks are investigated as the leading effective couplings obtained from a one loop background field method applied to a global color model. Two pion field definitions are considered and the resulting eleven form factors are expressed in terms of components of the quark and gluon propagators that compose only two momentum dependent functions. A momentum dependent Goldberger Treiman relation is also obtained as one of the ratios between the form factors. The resulting form factors with pion momenta up to 1.5 GeV are exhibited for different quark effective masses and two different non-perturbative gluon propagators and they present similar behavior to fittings of experimental data from nucleons form factors. The corresponding pseudoscalar averaged quadratic radii (a.q.r.) and correction to the axial a.q.r. are presented as functions of the sea quark effective mass, being equal respectively to the scalar and vector ones at the present level of calculation.

25 pages, 12 figures, revised version, few punctual corrections in the text

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• Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
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Cited by in corpus (11)

• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• Form factors for pions couplings to constituent quarks under weak magnetic field
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• Strongly interacting matter in extreme magnetic fields
• The Yukawa potential under weak magnetic field
• Symmetry breaking effects in pion couplings to constituent quark currents