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This paper presents the Extended-Soft-Core (ESC) potentials ESC08c forbaryon-baryon channels with total strangeness S=-2. The potential models forS=-2 are based on SU(3) extensions of ESC potential models for the S=0 and S=-1sectors, which are fitted to experimental data. Flavor SU(3)-symmetry is brokenonly kinematically by the masses of the baryons and the mesons. For the S=-2channels no experimental scattering data exist, and also the information fromhypernuclei is rather limited. Nevertheless, in the fit to the S=0 and S=-1sectors information from the so called NAGARA event and the $\Xi$-well-depthhas been used as constraints to determine the free parameters in thesimultaneous fit of the $NN \oplus YN \oplus YY$ data. Therefore, thepotentials for the S=-2 sector are determined mainly by the NN-, YN-data, andSU(3)-symmetry.Various properties of the potentials are illustrated by givingresults for scattering lengths, effective ranges, bound states, elastic andinelastic phase parameters, and total cross sections. Notably is the predictionof a bound state D$^*$ in the $\Xi N(^3S_1,I=1)$-channel with a binding energy$B_E=1.56$ MeV. This state is deuteron-like, i.e. a member of the$\{10^*\}$-decuplet. As for the normal deuteron $D= pn(^3S_1-^3D_1)$ the strongtensor force is responsible for this state. The features of $\Xi$ hypernucleipredicted by ESC08c are studied on the basis of the G-matrix approch. Thewell-depth $U_\Xi= -7.0$ MeV, and the $\Xi -\Lambda\Lambda$ conversion width is$\Gamma_\Xi^c= 4.5$ MeV.

Extended-soft-core Baryon-Baryon ESC08 model III. S=-2 Hyperon-hyperon/nucleon Interaction