Relativistic constituent quark model with infrared confinement

TL;DR

This paper enhances a relativistic constituent quark model by incorporating infrared confinement through a scale cutoff, enabling more accurate calculations of meson form factors aligned with experimental data.

Contribution

It introduces a novel infrared cutoff method in the quark model to effectively simulate confinement and improve predictions of meson electromagnetic properties.

Findings

Successfully implements infrared confinement in the quark model.

Accurately calculates pion and meson transition form factors.

Aligns theoretical results with experimental measurements.

Abstract

We refine the relativistic constituent quark model developed in our previous papers to include the confinement of quarks. It is done, first, by introducing the scale integration in the space of alpha-parameters, and, second, by cutting this scale integration on the upper limit which corresponds to an infrared cutoff. In this manner one removes all possible thresholds presented in the initial quark diagram. The cutoff parameter is taken to be the same for all physical processes. We adjust other model parameters by fitting the calculated quantities of the basic physical processes to available experimental data. As an application, we calculate the electromagnetic form factors of the pion and the transition form factors of the omega and eta Dalitz decays.