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

Abstract

Fully correlated study of $_{ΛΛ} ^6$He hypernucleus has been performed with two- and three- baryon potentials. For the S=-2 sector, various simulations of Nijmegen $ΛΛ$ 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 $_Λ^5$He and $_{ΛΛ}^6$He depends on the $ΛN$ space-exchange strength only. Investigation limits the strength of simulated Nijmegen $ΛΛ$ potential models. The study is a step forward to determine all the strengths, to reslove A=5 anomaly and to search for $_{ΛΛ}^4$H in an authentic way.