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

Abstract

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.

Comments: 11 pages, 2figures