Role of Lambda N and Lambda NN interaction parameters on binding energy of Lambda H4 and Lambda H4*

Abstract

Variational Monte Carlo study has been done for the two hypernuclear systems $_Λ^4$H and $_Λ^4$H$^*$ for calculation of binding energies. For the two hypernuclear systems under study, different potential models have been used for the interactions involved in these hypernuclear systems. ArgonneV$_{18}$ NN, Urbana IX NNN and phenomenological $Λ$N and $Λ$NN potentials have been used in our study. Our potential models are based on our previous studies on different double lambda hypernuclear systems. From our results, hyperon-nucleon parameters ie. two-body $Λ$N parameter and three-body $Λ$NN parameters are found to be important for binding the hypernuclear systems under study. With reduction in the values of Lambda NN interaction parameters used in earlier works , there is significant difference in the values of binding energy of $_Λ^4$H and $_Λ^4$H$^*$. Also, $Λ$N interaction parameters are also found to play important role in binding.