On a possible estimation of the constituent--quark parameters from Jefferson Lab experiments on pion form factor

Abstract

The charge form factor of the pion is calculated for momentum transfer range of Jefferson Lab experiments. The approach is based on the instant form of the relativistic Hamiltonian dynamics. It is shown that the form-factor dependence on the choice of the model for quark wave function in pion is weak, while the dependence on the constituent--quark mass is rather significant. It is possible to estimate the mass of constituent quark and the sum of anomalous magnetic moments of $u$- and $\bar{d}$- quarks from the JLab experiments.

4 pages, RevTeX, 1 ps figure

Cited by in corpus (17)

• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• The radius of the rho meson determined from its decay constant
• Nonperturbative relativistic approach to pion form factor: predictions for future JLab experiments
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Pion gravitational form factors in a relativistic theory of composite particles
• Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: a quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results
• Magnetic moments and electromagnetic radii of nucleon and $\Delta (1232)$ in an extended GBE model
• Constraining scenarios of the soft/hard transition for the pion electromagnetic form factor with expected data of 12-GeV Jefferson Lab experiments and of the Electron-Ion Collider
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results
• Pseudoscalar current and covariance with the light-front approach
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Linking infrared and ultraviolet parameters of pion-like states in strongly coupled gauge theories
• Comment on New Results for the Charged Pion Electromagnetic Form Factor