From hypernuclei to the Inner Core of Neutron Stars: A Quantum Monte Carlo Study

Auxiliary Field Diffusion Monte Carlo (AFDMC) calculations have been employed to revise the interaction beween Lambda-hyperons and nucleons in hypernuclei. The scheme used to describe the interaction, inspired by the phenomenological Argonne-Urbana forces, is the Lambda N + Pi NN potential firstly introduced by Bodmer, Usmani et a l.. Within this framework, we performed calculations on light and medium mass hypernuclei in order to assess the extent of the repulsive contribution of the three-body part. By tuning this contribution in order to reproduce the Lambda separation energy in He-5(Lambda) and O-17(Lambda), experimental findings are reproduced over a wide range of masses. Calculations have then been extended to Lambda-neutron matter in order to derive an analogous of the symmetry energy to be used in determining the equation of state of matter in the typical conditions found in the inner core of neutron stars.