π± -,π⁰ -meson electroweak decays within relativistic quark model based on point form of Poincaré-invariant quantum mechanics

Abstract

In the course of work the integral representation of π⁰ -meson form-factor of π⁰ → γγ process has been obtained within relativistic quark model based on point form of Poincar´e-invariant quantum mechanics taking into account anomalous magnetic moments of ku and κd quarks. The parameters obtained using pseudoscalar density constant gπ± , current masses of u- and d-quarks as well as decay constant π± → ℓ±νℓ were used for numerical modeling of Fπ⁰γ(t) form-factor in time-like region. Similar calculations for π⁰ → γγ decay characteristics with reference to quark structure in point form of Poincar´e-invariant quantum mechanics have been carried out for the first time.