PHYSICS

Pseudoscalar $P^0(q\overline{q})$-mesons form-factor in composite relativistic quark model

V. Yu. Hayrysh^a, V. V. Andreev<sup>b

a</sup> Sukhoi State Technical University of Gomel
^b Francisk Skorina Gomel State University

Abstract: The paper presents an algorithm for calculating the meson form factors of the $\gamma\gamma^*\to P(q\overline{q})$ process in a model based on the composite quark model and the point form of Poincaré-invariant quantum mechanics. It is shown that the use of structure functions of constituent quarks for the light sector leads to a behavior of the $q^2 F_{p^0}(q^2)$ value of the $\gamma\gamma^*\to\pi^0$, $\gamma\gamma^*\to\eta$ and $\gamma\gamma^*\to\eta'$ processes at large momentum transfers consistent with experimental data. A self-consistent model satisfactorily describing electroweak decays of pseudoscalar mesons of the light sector is proposed.

Keywords: constituent quark model, anomalous magnetic moment, root-mean-square radius, form factor, asymptotic behavior.

UDC: 539.12

Received: 26.03.2025

DOI: 10.54341/20778708_2025_2_63_16