Charge specific baryon mass relations with deformed SU_q(3) flavor symmetry

TL;DR

This paper develops new charge-specific baryon mass formulas using deformed SU_q(3) symmetry, significantly improving accuracy over traditional models and linking the deformation parameter to the Cabibbo angle.

Contribution

It introduces charge-specific mass relations for baryons based on quantum group symmetry, achieving unprecedented precision and connecting the deformation parameter to fundamental mixing angles.

Findings

Mass formulas with errors of 0.02 ext{ and }0.08\%

A new octet-decuplet mass relation accurate to 1.2",

Abstract

The quantum group $SU_q(3)=U_q(su(3))$ is taken as a baryon flavor symmetry. Accounting for electromagnetic contributions to baryons masses to zeroth order, new charge specific $q$-deformed octet and decuplet baryon mass formulas are obtained. These new mass relations have errors of only 0.02\% and 0.08\% respectively; a factor of 20 reduction compared to the standard Gell-Mann-Okubo mass formulas. A new relation between the octet and decuplet baryon masses that is accurate to 1.2\% is derived. An explicit formula for the Cabibbo angle, taken to be $\frac{\pi}{14}$, in terms of the deformation parameter $q$ and spin parity $J^P$ of the baryons is obtained.