Poincaré-covariant quark model of electroweak light mesons decays

V Burov,S Bondarenko,Vadzim Haurysh,Viktor Andreev,A Malakhov

doi:10.1051/epjconf/201920408006

V Burov, S Bondarenko + Show 3 more

Open Access

https://doi.org/10.1051/epjconf/201920408006

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Abstract

The procedure for obtaining the radiative decay constants of pseudoscalar and vector unflavored mesons in point–form of Poincaré-invariant quantum mechanics is presented. In the course of the work the authors determine the remaining parameters from V → Pγ and P → Vγ experimental decay value, using the obtained earlier parameters of the model for light (u, d and s) quarks. As a result, the mixing angles for pseudoscalar and vector meson sector were obtained taking into account gluonium content for η – η′ meson sector.

Highlights

The problem of hadron decay descriptions, as a bound quark system, is an important task of high energy physics and theoretical physics
Making reference to the decays, which include hadron in the final state, processes with emitting γ–quantum V(P) → P(V) + − and V(P) → P(V)γ are the most convenient for developing the theory of inner quark dynamics: it has been found out, that such decays have the simplest decay mechanism and allow one to find a number of phenomenological characteristics of hadrons, such as magnetic moments, different hadron form factors, mixing angles of quark and gluons etc
The analysis has shown that values of anomalous magnetic moments in our work are in good agreement with other models and assumptions: in [7] the used values κu = −0.064, κd = 0.017; comparing to our results one can get κu = κu/eu = −0.082, κd = κd/ed = 0.029

Summary

Introduction

The problem of hadron decay descriptions, as a bound quark system, is an important task of high energy physics and theoretical physics. In view of several well–known problems of quantum electrodynamics there is a number of alternative models and approaches; any of these approaches requires further modifications and reviews, since the mechanics of the bound quark interaction has not been completely studied The research in this area has become important nowadays because of the appearance of modern experimental data on lepton decays of light pseudoscalar and vector mesons, as well as for heavy lepton decays (see [1]).

Radiative decay constant in PiQM

Mixing scheme of mesons

Numerical results and discussion

Conclusion