Static electromagnetic moments and lepton decay constant of the $\rho$-meson in the instant form of relativistic quantum mechanics

Abstract

The relativistic calculations of the electromagnetic form factors, static moments and lepton decay constant of the $\rho$-meson are given in the framework of the instant form of the relativistic quantum mechanics with different model wave functions. The modified impulse approximation (MIA) is used for the electroweak current operator. MIA provides Lorentz covariance and conservation law for current operators. The developed approach gives the nonzero quadrupole moment due to the relativistic Wigner spin rotation in the $S$-state of the quarks in $\rho$-meson