Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model

Abstract

We develop a formalism to calculate form factor and charge density distribution of pion in the chiral limit using the holographic dual model of QCD with hard-wall cutoff. We introduce two conjugate pion wave functions and present analytic expressions for these functions and for the pion form factor. They allow to relate such observables as the pion decay constant and the pion charge electric radius to the values of chiral condensate and hard-wall cutoff scale. The evolution of the pion form factor to large values of the momentum transfer is discussed, and results are compared to existing experimental data.

21 page, 7 figures. Short comparison with NJL predictions for pion radius and new references added. To be published in Phys.Rev. D

References in corpus (8)

• Linear Confinement and AdS/QCD
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• Toward a Systematic Holographic QCD: A Braneless Approach
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Emerging Holography
• Holographic heavy-light mesons from non-Abelian DBI

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