Mass formula for strange baryons in large $N_c$ QCD versus quark model

TL;DR

This paper compares a quark model and a large $N_c$ QCD approach to strange baryons, showing they agree on mass predictions, Regge trajectories, and quantum numbers, thus linking different theoretical frameworks.

Contribution

It extends previous work to include strange baryons, demonstrating agreement between quark model and $1/N_c$ expansion predictions for SU(3)-breaking mass terms.

Findings

Quark model and $1/N_c$ expansion agree on SU(3)-breaking mass terms.

Strange and nonstrange baryons have Regge trajectories with equal slopes.

Both approaches identify a single quantum number for baryons within a Regge trajectory.

Abstract

A previous work establishing a connection between a quark model, with relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the $1/N_c$ expansion mass formula is extended to strange baryons. Both methods predict values for the SU(3)-breaking mass terms which are in good agreement with each other. Strange and nonstrange baryons are shown to exhibit Regge trajectories with an equal slope, but with an intercept depending on the strangeness. Both approaches agree on the value of the slope and of the intercept and on the existence of a single good quantum number labeling the baryons within a given Regge trajectory.