Behaviour of the potentials due to strangeness degree of freedom in $_{\Lambda\Lambda}^6$He hypernucleus

Fully correlated study of $_{\Lambda\Lambda} ^6$He hypernucleus has been performed with two- and three- baryon potentials. For the S=-2 sector, various simulations of Nijmegen $\Lambda\Lambda$ potential models have been used. We investigate the role of every strength of the strange sector potentials on the energy breakdown and present a crystal clear understanding of their interplay. Consistency between $_\Lambda ^5$He and $_{\Lambda\Lambda}^6$He depends on the $\Lambda N$ space-exchange strength only. Investigation limits the strength of simulated Nijmegen $\Lambda\Lambda$ potential models. The study is a step forward to determine all the strengths, to reslove A=5 anomaly and to search for $_{\Lambda\Lambda}^4$H in an authentic way.