Single-Particle Spin-Orbit Strengths of the Nucleon and Hyperons by $SU_{6}$ Quark-Model

The quark-model hyperon-nucleon interaction suggests an importantantisymmetric spin-orbit component. It is generated from a color analogue ofthe Fermi-Breit interaction dominating in the one-gluon exchange processbetween quarks. We discuss the strength S_B of the single-particle spin-orbitpotential, following the Scheerbaum's prescription. Using the SU6 quark-modelbaryon-baryon interaction which was recently developed by the Kyoto-Niigatagroup, we calculate NN, Lambda N and Sigma N G-matrices in symmetric nuclearmatter and apply them to estimate the strength S_B. The ratio of S_B to thenucleon strength S_N =~ -40 MeV*fm^5 is (S_Lambda)/(S_N) =~ 1/5 and(S_Sigma)/(S_N) =~ 1/2 in the Born approximation. The G-matrix calculation ofthe model FSS modifies S_Lambda to (S_Lambda)/(S_N) =~ 1/12. For S_N andS_Sigma, the effect of the short-range correlation is comparatively weakagainst meson-exchange potentials with a short-range repulsive core. Thesignificant reduction of the Lambda single-particle potential arises from thecombined effect of the antisymmetric LS force, the flavor-symmetry breakingoriginating from the strange to up-down quark-mass difference, as well as theeffect of the short-range correlation. The density dependence of S_B is alsoexamined