$\pi^{\pm}$-,$\pi^{0}$-meson electroweak decays within relativistic quark model based on point form of Poincaré-invariant quantum mechanics

Authors: VADZIM HAURYSH, VIKTOR ANDREEV

Abstract: In the course of work the integral representation of $\pi^{0}$-meson form-factor of $\pi^{0}\rightarrow\gamma\gamma$ process has been obtained within relativistic quark model based on point form of Poincaré-invariant quantum mechanics taking into account anomalous magnetic moments of $\kappa_{u}$ and $\kappa_{d}$ quarks. The parameters obtained using pseudoscalar density constant $g_{\pi^{\pm}}$, current masses of $u$- and $d$-quarks as well as decay constant $\pi^{\pm}\rightarrow\ell^{\pm}\nu_{\ell}$ were used for numerical modeling of $F_{\pi^{0}\gamma}(t)$ form-factor in time-like region. Similar calculations for $\pi^{0}\rightarrow\gamma\gamma$ decay characteristics with reference to quark structure in point form of Poincaré-invariant quantum mechanics have been carried out for the first time.

Keywords: Point form, form-factor, meson, quark, electroweak decay

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