The 't Hooft Coupling and Baryon Mass Splitting in the Large-N_c Quark Model

We study the 't Hooft coupling g_t and the mass splitting of the ground-state baryons in terms of the large N_c-inspired quark model, by which the Hartree wavefunctions of light quarks are obtained. By fitting the spectra of decuplet and octet baryons, we obtain the 't Hooft coupling g_t to be around 1.57. We generalize the scenario to the case of heavy baryons, such as Λ_c, g_t values which does not deviate much from 1.57, as well as to the case of mesons with g_t far from that for baryons. The consequence is discussed.