Some remarks on a paper by G.-S. Yang and H.-C.Kim: Mass splitting of SU(3) baryons within a chiral soliton model

TL;DR

This paper critiques Yang and Kim's baryon mass formulas within a chiral soliton model, clarifying that their results do not match the generalized Gell Mann-Okubo formula due to incomplete flavor breaking considerations.

Contribution

It clarifies the discrepancy between Yang and Kim's mass formulas and the generalized Gell Mann-Okubo formula, emphasizing the importance of second-order flavor breaking terms.

Findings

Yang and Kim's formulas are not equivalent to the generalized Gell Mann-Okubo formula.

The generalized formula includes second-order flavor breaking terms, which Yang and Kim's approach omits.

The paper highlights inconsistencies in Yang and Kim's derivation of baryon mass formulas.

Abstract

In a recent paper Yang and Kim discuss the lowest baryon mass formulas using a chiral soliton model. However, contrary to their assertion, their result is not equivalent to a generalized Gell Mann-Okubo mass formula derived (G.Morpurgo 1992) using only general properties of QCD (The General parameterization method). The reason for the non equivalence is that the generalized mass formula include all the main terms that break flavor at second order, whereas the Authors above do not go beyond first order flavor breaking (and should therefore find the usual Gell Mann Okubo formula). That is is not so, due to some inconsistencies. Below we confine to the part of the Yang-Kim paper dealing with the mass formula. We will not consider the other items of their paper.