Variational Monte-carlo study of ${_{\Lambda\Lambda}^4}H$

Variational Monte-Carlo calculations are carried out for ${_{\Lambda\Lambda}^4}H$ to explore on the possibility of its existence, using realistic NN, NNN, and phenomenological {\Lambda}N and {\Lambda}NN interactions. We also perform calculations using FGNN and NSC97 {\Lambda}N potentials.We have demonstrated the effect of the exchange part of the two-body {\Lambda}N interaction and three-body {\Lambda}NN interaction on the binding energy of . Still the stability of ${_{\Lambda\Lambda}^ 4} H$ remains an open question and this hypernuclear system has to be explored more, theoretically.