It is shown that the modern equations of state for neutron star matter based on microscopic calculations of symmetric and asymmetric nuclear matter are compatible with the lower bound on the maximum neutron-star mass for a certain range of hyperon coupling constants, which are constrained by the binding energies of hyperons in symmetric nuclear matter. The hyperons are included by means of the relativistic Hartree-or Hartree-Fock approximation. The obtained couplings are also in satisfactory agreement with hypernuclei data in the relativistic Hartree scheme. Within the relativistic Hartree-Fock approximation, hypernuclei have not been investigated so far.PACS 97.60.7d, 26.60,+c, 21.80.+a, 21.65.+f Neutron star matter (NSM), bound by gravity, differs from high density nuclear matter produced in heavy ion reactions in several respects: 1) Since the repulsive Coulomb force is much stronger than the gravitational attraction, NSM is much more asymmetric than terrestrial matter in heavy ion collisions.2) The weak interaction time scale is small in comparison with the lifetime of the neutron star (NS), but large in comparison with the lifetime of high-density matter in heavy ion reactions. For that reasons dense matter in high-energy reactions has to obey the constraints of isospin symmetry and strangeness conservation whereas NSM is a charge neutral system with no strangeness conservation (see, for instance, [1]
ax) = Y, B=p,n,l±° ,A,E°---,A--C°B(x)+with further references). Extraterrestrial NSM is for that reasons a rather theoretical object with a very complex structure. Since its density stretches over an enormous range, reaching from crystalline iron on the surface to several times of nuclear matter saturation density in the core, one encounters in the theoretical descriptions many obstacles, for which one has to introduce theoretical assumptions and extrapolations [1, 2], However one can try to combine both high density systems in a common theory, which is possible in modern field theoretical approaches. The first systematic investigation in this respect was performed by Glendenning [3], who used the standard nuclear relativistic Lagrangian extended by inclusion of hyperons and deltas, i. e. M=<7,UJ,IR,P,6