Pion form factor from a contact interaction

Abstract

In a Poincare'-covariant vector-boson-exchange theory, the pion possesses components of pseudovector origin, which materially influence its observable properties. For a range of such quantities, we explore the consequences of a momentum-independent interaction, regularised in a symmetry-preserving manner. The contact interaction, whilst capable of describing pion static properties, produces a form factor whose: evolution for Q^2>0.17GeV^2 disagrees markedly with experiment; and asymptotic power-law behaviour conflicts strongly with perturbative-QCD.

5 pages

References in corpus (19)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• pi- and K-meson Bethe-Salpeter Amplitudes
• Pion mass and decay constant
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Sketching the Bethe-Salpeter kernel
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Unquenched quark propagator in Landau gauge
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Hadron Properties and Dyson-Schwinger Equations
• Extended NJL Model for light and heavy mesons without q-qbar thresholds
• Aspects and consequences of a dressed-quark-gluon vertex
• Unquenched Gluon Propagator in Landau Gauge
• Aspects of Hadron Physics
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• The pion parton distribution function in the valence region
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Analysis of full-QCD and quenched-QCD lattice propagators

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• Features and flaws of a contact interaction treatment of the kaon
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• Parity partners in the baryon resonance spectrum
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• Quark spin and orbital angular momentum from proton GPDs
• N* Structure and Strong QCD
• Vector-Interaction-Enhanced Bag Model
• Hadron Physics: The Essence of Matter
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• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
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• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
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• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• Charmed mesons at finite temperature and chemical potential
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• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Heavy-light mesons spectra in a contact interaction
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Mass-dependence of pseudocritical temperature in mean field approximation
• Pseudoscalar current and covariance with the light-front approach
• Impact of dynamical chiral symmetry breaking on meson structure and interactions
• An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields
• Mesons and Baryons: Parity Partners
• Unified analysis of screening masses for vector and axial-vector mesons and their diquark partners in the Contact Interaction model