One-boson-exchange potentials (OBEP) for ΞN and ΞΞ systems are derived in extension from the NN OBEP of Ueda, Riewe and Green in the framework of SU(3) invariance with effective nonet mesons in addition to the effective SU(3)-violating σ meson. The ΞN OBEP is applied to Ξ−-nucleus bound states. The SU(3) parameters that were determined in fitting the ŁN system are used. Only the coupling constant gΞΞσ is newly adjustable. This is determined so as to reproduce the energies of Ξ−-12C bound states. With the best value, we predict the scattering and bound states for ΞN and ΞΞ systems. In particular, we predict a Ξ -11B bound state in agreement with the experimental results of the E885 collaboration.
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Yamaguchi et al. (2001) studied this question.
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