New picture on the mesons mass relations

TL;DR

This paper introduces a novel approach based on second order phase transition principles to derive meson mass relations, achieving good agreement with experimental data and addressing quark composition and mixing angles.

Contribution

It proposes a new mass mixing approach rooted in phase transition theory and develops a corresponding field theory consistent with observed meson phenomenology.

Findings

Derived new meson mass relations matching experimental data

Addressed quark composition and mixing angles accurately

Developed a compatible field theoretical framework

Abstract

This work is divided in two parts. In the first three sections we review the meson physics phenomenology, highlighting the history of the pseudoscalar multiplet mass spectra research. Then we propose a new approach for the mass mixing problem exclusively based on a second order phase transition principle. This development leads to new relations among the masses of the mesons in this nonet, which present a nice agreement with measurements. Also the quark constitutions and the mixing angle problem are correctly addressed. Then, after describing the spontaneous symmetry breaking process coming from this phenomenological analysis, we establish a field theory with the necessary elements that could reproduce theoretically such results. This is done in the second part of this work. In the end, our quantum analysis of this field theory shows a compatibility with the phenomenology, which allows for further exploration along this path.