The radius of the rho meson determined from its decay constant

Abstract

We present a unified model describing electroweak properties of the pi and rho mesons. Using a general method of relativistic parametrization of matrix elements of local operators, adjusted for the nondiagonal in total angular momentum case, we calculate the rho-meson lepton-decay constant f_rho using the same parameters of free constituent quarks that have ensured exclusively good results for the pi meson previously. The only free parameter, characterizing quark interactions, which include additional spin-spin contribution and hence differ from the $\pi$-meson case, is fixed by matching the decay constant to its experimental value. The mean square charge radius is calculated, <r^2_rho>=(0.56+-0.04) fm^2. This result verifies, for the rho-meson case, the conjecture of equality between electromagnetic and strong radii of hadrons tested previously for proton, pi and K mesons.

8 pages, 2 figures, revtex

References in corpus (11)

• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Pseudoscalar and vector meson form factors from lattice QCD
• Light Meson Form Factors at near Physical Masses
• Magnetic moments of vector, axial, and tensor mesons in lattice QCD
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Light-Front Spin-1 Model: Parameters Dependence
• 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

Cited by in corpus (24)

• Strong couplings and form factors of charmed mesons in holographic QCD
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Pion gravitational form factors in a relativistic theory of composite particles
• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• Generalized parton distributions in spin-3/2 particles
• 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
• On the form factors of $d^{\ast }(2380)$
• Dynamics of the quark-antiquark interaction and the universality of Regge trajectories
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Light vector and axial mesons effective couplings to constituent quarks
• Rho-meson properties in medium
• 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
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• Vector meson-nucleon scattering length $|{\alpha }_{VN}|$ and trace anomalous energy contribution to the nucleon mass $T_A$
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results
• Strong decays with the boost-corrected wave functions
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Covariant form factors for spin-1 particles
• Linking infrared and ultraviolet parameters of pion-like states in strongly coupled gauge theories
• A Classical Interpretation of the Nonrelativistic Quark Potential Model: Color Charge Definition and the Meson Mass-Radius Relationship