Sukhoi State Technical University of Gomel, Republic of Belarus

An analytical expression for the electromagnetic form factor of the charged $\pi$ meson was obtained within the framework of the Quark Confined Model (QCM). The calculated value of the electromagnetic radius $\left\langle r_\pi \right\rangle =0.643 fm.$ is in good agreement with the experimental data. Analytical expressions for the electromagnetic form factors of charged and neutral $K$ mesons were obtained. The contribution of the direct diagram, as well as the contribution of intermediate vector states to the form factors under study, was investigated. The contribution of vector mesons has been shown to be of decisive importance for describing the neutral meson. The dependence of the electromagnetic form factor of the neutral kaon on the mixing angle of vector mesons was studied. The electromagnetic radius of the charged kaon was calculated $\left\langle r_{K^+} \right\rangle=0.501 fm.$ The obtained value is in good agreement with the experimental data. Numerical values of the square of the electromagnetic radius of the neutral kaon were obtained for different values of the mixing angle of vector mesons. The transition form factors of $\eta$ and $\eta^\prime$ mesons were studied in the singlet-octet mixing scheme. It shown that taking into account the intermediate vector states allows one to obtain good agreement with the experimental data. The slope parameters for the transit form factors of pseudoscalar mesons were calculated: $a_\pi=0.028, a_\eta=0.594, a_{\eta^\prime}=1.28.$ The obtained numerical value of$ a_\pi$ is in good agreement with the experimental data. It should be noted that the values of the parameter $a_{\eta,\eta^\prime}$ are very sensitive to the numerical values of the mixing angles.