Mixed symmetric baryon multiplets in large $N_c$ QCD: two and three flavours

TL;DR

This paper introduces a new method for analyzing mixed symmetric baryon multiplets within large N_c QCD, emphasizing the dominance of certain spin and flavor operators in mass calculations, and tests it on systems with two and three flavors.

Contribution

A novel, simplified approach to study mixed symmetric baryon multiplets in large N_c QCD, clarifying the roles of spin and flavor operators.

Findings

Spin and flavor operators proportional to quadratic invariants are dominant.

Method successfully tested on two and three flavor systems.

Enhanced understanding of operator contributions to baryon masses.

Abstract

We propose a new method to study mixed symmetric multiplets of baryons in the context of the $1/N_c$ expansion approach. The simplicity of the method allows to better understand the role of various operators acting on spin and flavour degrees of freedom. The method is tested on two and three flavours. It is shown that the spin and flavour operators proportional to the quadratic invariants of SU$_S$(2) and SU$_F$(3) respectively are dominant in the mass formula.