Several studies suggest that, in neutron stars at densities larger than 0.32 fm^-3, new hadronic degrees of freedom, in addition to neutrons and protons, may appear. Hyperons are the most likely such hadrons so that including hyperons in the nuclear matter equation of state will be needed to correctly describe properties and evolution of neutron stars. The equation of state of neutron matter can be accurately computed using auxiliary field diffusion Monte Carlo, but our knowledge of the nucleon-hyperon interaction is at present very poor. In addition to few available scattering data, hypernuclear spectroscopy taken at BNL-AGS, KEK, and Jlab in last 3 decades provides us informations about hypernuclei, and new coming facilities, at first J-Parc, will give us more and richer data.
I will briefly show how hyperons can be included in the Auxiliary Field Diffusion Monte Carlo method, and then I will discuss some results of applying it to the ground-states of hypernuclei. I will discuss how these results can be used to improve the nucleon-hyperon and nucleon-nucleon-hyperon potentials to be used for the computation of an accurate nuclear equation of state including hyperons.
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