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Nucleon matters are studied based on QCD. We extract nucleon-nucleoninteraction from lattice QCD simulations in a recently developed approach, andthen derive the equations of state of the symmetric nuclear matter and the pureneutron matter, at zero temperature, in the Brueckner-Hartree-Fock framework.We find that QCD reproduce known features of the symmetric nuclear matter, suchas the self-binding and saturation, at some values of quark mass. We find alsothat the pure neutron matter become more stiff at large density as quark massdecrease. We apply these equations of state to neutron star and study its massand radius.

Equation of State of Nucleon Matters from Lattice QCD Simulations