Studying Lambda Lambda He hypernuclei by modern Lambda-Lambda potential derived from Lattice QCD Simulations

Abstract

In this work, we examine the first principle lattice quantum chromodynamics (LQCD) interactions derived by HAL collaboration, which are the most consistent potential with the Large Hadron Collider (LHC) and A Large Ion Collider Experiment (ALICE) data to study the ground state properties of the hypernucleus. Theoretically, the system is considered as an particle and two hyperons. Since the binding energy of nucleus is relativly large, it can be considered as solid particle, so its excited states can not play a role in the desired energy. In addition we have calculated the matter radious of hypernuclei. Furthermore, in order to have better comparisons we did calculations by the Nijmegen model D hard-core interaction (ND) for phenomenological potential which often used in hypernuclei studying. For potential the famous two-range Gaussian (Isel-type) interaction is used.