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

TL;DR

This study uses variational Monte Carlo methods with various potential models to analyze how Lambda N and Lambda NN interaction parameters influence the binding energies of hypernuclear systems $_\Lambda^4$H and $_\Lambda^4$H$^*$.

Contribution

It demonstrates the significant impact of Lambda N and Lambda NN interaction parameters on the binding energies of specific hypernuclei, highlighting the importance of these parameters in hypernuclear modeling.

Findings

Lambda NN parameters significantly affect binding energies.

Reduction in Lambda NN interaction parameters leads to notable energy differences.

Lambda N interaction parameters are crucial for hypernuclear binding.

Abstract

Variational Monte Carlo study has been done for the two hypernuclear systems $_\Lambda^4$H and $_\Lambda^4$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 $\Lambda$N and $\Lambda$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 $\Lambda$N parameter and three-body $\Lambda$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 $_\Lambda^4$H and $_\Lambda^4$H$^*$. Also, $\Lambda$N interaction parameters are also found to play important role in binding.