The one-boson-exchange-model (OBEM) and quark-cluster-model (QCM) interactions are applied to the structure study of the ground states in light $S=-2$ nuclei with the $[\mathrm{core}+\Lambda +\Lambda ]+[\mathrm{core}+\Xi +N]$ model and the $\mathrm{core}+\left(3q\right)+\left(3q\right)\mathrm{}$ cluster model, respectively. The $\mathrm{core}+\left(3q\right)+\left(3q\right)\mathrm{}$ cluster model proposed here is a model designed to use the QCM interactions in finite nuclear systems. We found that the OBEM interactions predict a double-$\Lambda$ hypernuclear state for the ground state of light $S=-2$ nuclei, while the QCM interaction with a bound $H$ dibaryon predicts a bound $H$-nuclear state, although the structure of the $H$ state in nucleus is considerably different from the free one.

• Received 25 January 2000

DOI:https://doi.org/10.1103/PhysRevC.62.034319