Spin-Orbit Force of Instanton-Induced Interaction in Strange and Charmed Systems

Effects of the spin orbit-force on hadronic systems with strangeness or charm are investigated by a valence quark model with the instanton-induced interaction. By introducing this interaction, the spin-orbit splittings in the negative-parity hyperons becomes 0.14 – 0.37 times smaller. The flavor-octet baryon mass spectrum and the splittings in the charmed baryons become consistent with the experiments. Though the splitting is also reduced in the flavor-singlet baryons, it still gives two third of the experimental value. The reduction comes from the cancellation between the one-gluon exchange and the instanton-induced interaction, which is channel-specific. In most of the two-baryon channels, the symmetric and antisymmetric spin-orbit force of the YN interaction remains strong after introducing this instanton effect. A few exceptional channels, however, are found where the cancellation affects strongly and the spin-orbit force becomes small. PACS: 12.39.Jh, 13.75.Ev, 14.20.Jn, 14.20.Lq