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

TL;DR

This study uses variational Monte Carlo methods with realistic interactions to investigate the potential existence and stability of the hypernucleus ${_{\Lambda\Lambda}^4}H$, highlighting the impact of different interaction components.

Contribution

It provides a detailed theoretical analysis of ${_{\Lambda\Lambda}^4}H$ using various interaction models, emphasizing the role of exchange and three-body forces.

Findings

Exchange part of { extLambda}N interaction affects binding energy

Three-body { extLambda}NN interaction influences stability

The stability of ${_{ extLambda extLambda}^4}H$ remains uncertain

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.