Relativistic constituent model in sector of light mesons

TL;DR

This paper reviews a relativistic quantum mechanics model that accurately describes light mesons' electroweak properties across various momentum transfers, aligning with QCD at high energies and allowing analytic continuation consistent with quantum field theory.

Contribution

It introduces a relativistic constituent model within instant form RQM that effectively models light mesons and matches QCD asymptotics at high momentum transfers.

Findings

Accurately describes $ ho$- and $ ho$-mesons across momentum ranges.

Pion form factor asymptotics match QCD predictions.

Allows analytic continuation consistent with quantum field theory.

Abstract

We present a brief survey of some results on electroweak properties of composite systems that are obtained in the frameworks of our version of the instant form of relativistic quantum mechanics (RQM). Our approach describes well the $\pi$- and the $\rho$- mesons in wide range of momentum transfers $Q^{2}$. At large $Q^{2}$ the obtained pion form factor asymptotics coincides with that of QCD predictions. The method permits to perform analytic continuation of pion form factor to complex plane of momentum transfers that is in accordance with predictions of quantum field theory.