Abstract

Covariant quark model represents an effective field approach to hadronic inter- actions. It is based on a non-local Lagrangian, which provides full Lorentz invariance and has limited number of parameters. The model is suitable for multi-quark state description and successfully describes numerous experimental measurements. In this text we give a brief introduction to the model and refer to the achieved results.

Highlights

  • Hadron physics, nowadays in center of interest thanks to heavy-quark factories, lacks solid firstprinciple theoretical explanation for the wide range of the measured data

  • The covariant quark model (CQM) introduces an effective quark-hadron interaction which is governed by following Lagrangian

  • We use so-called compositeness condition to achieve an appropriate description of hadrons as quark bound states and eliminate quark-hadron couplings as free parameters. This topic was studied already decades ago [1, 2] and the out-coming condition can be formulated as follows: the renormalization constant ZM1/2 can be interpreted as the matrix element between a physical state and the corresponding bare state

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Summary

Introduction

Nowadays in center of interest thanks to heavy-quark factories, lacks solid firstprinciple theoretical explanation for the wide range of the measured data. The perturbative approach is no longer applicable and other approaches with small model dependence (lattice QCD, ChPT) are usually restrained to a specific phase-space region. To cover the hadronic experimental data in their large variety a model-depended approach is needed. The covariant quark model (CQM) can be applied to wide spectra of hadronic processes and results can be calculated using standard quantum-field theory techniques

Covariant quark model in a nutshell
Overview of results
Mesons
Baryons
Tetraquarks
Full Text
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