Light Quark Masses in Multi-Quark Interactions

TL;DR

This paper introduces a multi-quark three-flavor Lagrangian incorporating current quark mass effects, demonstrating that it accurately predicts meson masses within a chiral symmetry breaking framework.

Contribution

It presents a novel multi-quark Lagrangian with mass-dependent interactions that aligns theoretical meson mass predictions with experimental data.

Findings

Accurately reproduces pseudo Goldstone boson masses

Predicts scalar nonet masses consistent with phenomenology

Analyzes the impact of new mass-dependent interactions

Abstract

We suggest and discuss in detail a multi-quark three flavor Lagrangian of the Nambu -- Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses. It is shown that within the dynamical chiral symmetry breaking regime, the masses of the pseudo Goldstone bosons and their chiral partners, members of the low lying scalar nonet, are in perfect agreement with current phenomenological expectations. The role of the new interactions is analyzed.