Harmonic quarks: properties and some applications

TL;DR

This paper extends the harmonic quark model to describe hadronic structures, including mesons and baryons, introduces a new mass equation possibly linked to the Higgs mechanism, and discusses quark interactions and mixing.

Contribution

It presents a refined harmonic quark model with a new mass equation, enhancing the understanding of hadronic structures and quark interactions, including potential links to the Higgs mechanism.

Findings

Harmonic quark model effectively describes meson and baryon structures.

A new mass equation improves quark mass calculations to 0.005% accuracy.

Quark mixing may be caused by parallel quark chains and d-quark properties.

Abstract

In this work the investigation of hadronic structures with the help of the harmonic quarks is prolonged. The harmonic quark model is good at describing the meson structures and the baryon excitations to resonances, in particular delta(1232). Harmonic quark reactions form the structure of the baryon resonances. Presumed quark structures of the mesons eta(548), omega(772), a(980) and f(980) are given. It became clear that the some hadronic structures contain the filled quark shells. The kinetic quark energy in the basic charged mesons are enough small for a using of perturbative methods. The following topics are briefly considered and discussed: harmonic quark series and its boundaries, the d-quark peculiarity, parallel quark series and quark mixing. The boundaries of quark chain can are closely related to a weak interaction. The cause of the quark mixing is probably an existence of the parallel quark chain and the special properties of the d-quark in the main quark chain. The new mass equation is found. It is probably a manifestation of Higgs mechanism. Using this equality enables to improve the accuracy of the harmonic quark masses calculation to 0.005%. The strong interaction should take into account the harmonic quark annihilation.