The 't Hooft coupling and baryon mass splitting in the large-N chiral model

Abstract

We study the 't Hooft coupling $g_t$ and the mass splitting of the ground-state baryons in a chiral quark model inspired by the large $N_c$ QCD. Depending on $g_t$ the Hartree wavefunction of light quark in baryons is used to map the mass hyperfine splittings for the octet and decuplet baryons. The 't Hooft coupling $g_t$ that reproduces the data of baryon masses is determined to be around $1.57$, which is small in the sense that $g_t^2/(4\pi N_c)\ll$$1$.

Comments: 20 pages, 3 figures, Created by LaTeX