Pion form factor from an AdS deformed background

Abstract

We consider a bottom-up AdS/QCD model with a conformal exponential deformation $e^{k{z}^2}$ on a Lorentz invariant AdS background. In this model, we assume the conformal dimension associated with the operator that creates pions at the boundary as $\Delta =3$. Regarding the infrared scale related to photon field $k_{\gamma }$, we analyze two cases: constant and depending on the transferred momentum $q$. In these two cases, we computed the electromagnetic pion form factor as well as the pion radius. We compare our results with experimental data as well as other theoretical (holographic and non-holographic) models. In particular, for the momentum-dependent infrared scale, we find good agreement with the available experimental data as well as non-holographic models.

arXiv commentV1, 23 pages, 4 figures

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• Linear Confinement and AdS/QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Heavy-Quark Potentials and AdS/QCD
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Light scalar mesons in the soft-wall model of AdS/QCD
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• Light and heavy mesons in a soft-wall holographic approach
• 1/q^2 Corrections and Gauge/String Duality
• QCD/String holographic mapping and glueball mass spectrum
• Dilaton in a soft-wall holographic approach to mesons and baryons
• Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• The Cornell Potential from General Geometries in AdS / QCD
• Hadrons in AdS / QCD correspondence
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Deep inelastic scattering from gauge string duality in the soft wall model
• Glueball spectra and Regge trajectories from a modified holographic softwall model
• Hadronic Spectra from Deformed AdS Backgrounds
• Generalized Soft Wall Model
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Confront Holographic QCD with Regge Trajectories of vectors and axial-vectors
• Pion family in AdS/QCD: the next generation from configurational entropy
• Pion light-front wave function, parton distribution and the electromagnetic form factor
• Perturbative QCD of hard and soft processes
• Glueballs and deconfinement temperature in AdS/QCD
• Mesons in a soft-wall AdS-Schwarzschild approach at low temperature
• Scalar and Tensor Glueballs as Gravitons
• Pion electromagnetic formfactor in the space-like region and $P$-phase ${\delta }_1^1(s)$ of $\pi \pi$ scattering from the value of the modulus of formfactor in the time-like region.
• Proton Structure Functions from an AdS/QCD model with a deformed background
• Deep inelastic scattering of baryons in a modified soft wall model
• IR-improved Soft-wall AdS/QCD Model for Baryons
• Conformal Symmetry and Pion Form Factor: Soft and Hard Contributions
• Quark-antiquark potential from a deformed AdS/QCD
• ${\gamma }^{\ast }{\rho }^0\to {\pi }^0$ Transition Form Factor in Extended AdS/QCD Models
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Fluctuation and dissipation within a deformed holographic model with backreaction
• Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model
• Light Pseudoscalar and Axial Spectroscopy using AdS/QCD Modified Soft Wall Model
• Light Meson Masses using AdS/QCD modified Soft Wall Model
• Scalar Mesons and glueballs in $Dp-Dq$ hard-wall models

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