Electromagnetic form factors of light vector mesons

The electromagnetic form factors $G_E{(q}^2),\hspace{0.5em}{G}_M{(q}^2),$ and $G_Q{(q}^2),$ charge radii, magnetic and quadrupole moments, and decay widths of the light vector mesons ${\rho }^{+}{,K}^{*+},$ and $K^{*0}$ are calculated in a Lorentz-covariant, Dyson-Schwinger-equation-based model using algebraic quark propagators that incorporate confinement, asymptotic freedom, and dynamical chiral symmetry breaking, and vector-meson Bethe-Salpeter amplitudes closely related to the pseudoscalar amplitudes obtained from phenomenological studies of $\pi$ and K mesons. Calculated static properties of vector mesons include the charge radii and magnetic moments $〈r_{\rho +}^2{〉}^{1/2}=0.61\mathrm{}\hspace{0.5em}\mathrm{fm},\hspace{0.5em}〈r_{K^{*+}}^2{〉}^{1/2}=0.54\mathrm{}\hspace{0.5em}\mathrm{fm},$ and $〈r_{K^{*0}}^2〉=-0.048\hspace{0.5em}{\mathrm{fm}}^2$ and ${\mu }_{\rho +}=2.69,\hspace{0.5em}{\mu }_{K^{*+}}=2.37,$ and ${\mu }_{K^{*0}}=-\mathrm{0.40.}$ The calculated static limits of the $\rho$-meson form factors are similar to those obtained from light-front quantum mechanical calculations, but begin to differ above $q^2=1\mathrm{}\hspace{0.5em}{\mathrm{GeV}}^2$ due to the dynamical evolution of the quark propagators in our approach.