Electromagnetic form factor of the pion in the space- and time-like regions within the front-form dynamics

Abstract

The pion electromagnetic form factor is calculated in the space- and time-like regions from -10 $(GeV/c{)}^2$ up to 10 $(GeV/c{)}^2$, within a front-form model. The dressed photon vertex where a photon decays in a quark-antiquark pair is depicted generalizing the vector meson dominance ansatz, by means of the vector meson vertex functions. An important feature of our model is the description of the on-mass-shell vertex functions in the valence sector, for the pion and the vector mesons, through the front-form wave functions obtained within a realistic quark model. The theoretical results show an excellent agreement with the data in the space-like region, while in the time-like region the description is quite encouraging.

9 pages + 4 figures. To appear in Phys. Lett. B

References in corpus (23)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Systematics of q anti-q states in the (n,M^2) and (J,M^2) planes
• Rho-omega mixing, vector meson dominance and the pion form-factor
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• The Vector Meson Form Factor Analysis in Light-Front Dynamics
• Regularizing the Divergent Structure of the Light-Front Currents
• Pairs in the light-front and covariance
• Pair term in the Electromagnetic Current within the Front-Form Dynamics: Spin-0 Case
• Charge form factor of $\pi$ and $K$ mesons
• Rho-Omega Mixing and the Pion Form Factor in the Time-like Region
• Pion Eletromagnetic Current in the Ligth-Cone Formalism
• Poincare' Covariant Current Operator and Elastic Electron-Deuteron Scattering in the Front-form Hamiltonian Dynamics
• New effective treatment of the light-front nonvalence contribution in timelike exclusive processes
• Electromagnetic and weak current operators for interacting systems within the front-form dynamics
• Covariance of Light-Front Models: Pair Current
• A consistent treatment for pion form factors in space-like and time-like regions
• Deuteron Magnetic and Quadrupole Moments with a Poincaré Covariant Current Operator in the Front-Form Dynamics
• Universal description of S-wave meson spectra in a renormalized light-cone QCD-inspired model
• Splitting of the pi - rho spectrum in a renormalized light-cone QCD-inspired model
• Ward-Takahashi Identidy on the Ligth-Front
• Renormalization of an effective Light-Cone QCD-inspired theory for the Pion and other Mesons
• Radiative corrections of $O(\a)$ for pion beta decay in the light-front quark model
• Exploring the timelike region for the elastic form factor in the light-front quantization

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