Hyperon single-particle and chemical potentials in nuclear matter from SU(3) chiral effective field theory

Brueckner theory is employed to calculate the single-particle potentials of nucleons and hyperons in nuclear matter. The underlying two-body interactions consist of the next-to-leading order chiral two-baryon potentials and effective density-dependent baryon-baryon interactions derived from the leading order chiral three-baryon forces. We compute the chemical potentials of neutrons and Λ(1116)-hyperons from the energy density of strongly interacting baryonic matter. The implications for the possible occurrence of strange baryons in neutron-star matter are discussed.