Rho \u2013Meson Form-factors in Point form of Poincar\xe9-Invariant Quantum Mechanics

Abstract

Form-factors investigation of rho ^{pm }–mesons was carried out within the framework of the relativistic quark model, based on point form of Poincaré-invariant quantum mechanics taking into account the internal structure of constituent quarks. It is shown that the parameters of the model obtained from the condition of the agreement of theoretical calculations with experimental data on leptonic decays for light pi ^{pm }— and rho ^{pm }–mesons lead to the results correlating with calculations in models based on light-front and instant forms of dynamics. The proposed scheme for the combined description of lepton transitions of pseudoscalar and vector mesons that is based on point form of dynamics, leads to the results on the magnetic moment of rho ^{pm }–meson correlating with the experimental data and other models.