Investigation of the lightest double- Lambda hypernuclei structure by using Gaussian bases expansion method

In the present work, to improve the knowledge of and interactions better, the existence possibility of a bound state for the double-hyperonic three-body system ( Lambda - Lambda - proton, Lambda - Lambda - neutron ) has investigated in the computational point of view. To study the structure of these three-body systems, Nijmegen group ND, NF, NS, ESC models and Julich group JA, JB interactions, that coupling effect are explicitly considered for potential, and a pseudo-OBE model for interaction, have been used. Minimum energy value of system for the seven interaction models are obtained in range of  to MeV and therefore no any bound state is found for these system.