Abstract
Abstract We study the properties of neutron star matter and neutron stars in the relativistic Brueckner-Hartree-Fock (RBHF) theory. Adopting the equation of state (EOS) in the RBHF theory, we calculate the properties of neutron star matter under the beta equilibrium condition in a wide range of density. We perform the Thomas-Fermi calculation of neutron star matter in the crust region taking into account the change of nuclear shapes around the density, ϱ ∼ 10 14 g/cm 3 . We compare the results with the properties of dense matter in the non-relativistic many body theory. The qualitative feature of neutron star matter in the crust is consistent with previous works. The relativistic EOS of neutron star matter is found to be stiffer than the non-relativistic EOSs characteristically. We found that the proton fraction of neutron star matter in the high density region in the RBHF theory is quite large as compared with those found in the non-relativistic calculations and allow the direct Urca process, which is crucial for the rapid cooling of neutron stars, for relatively massive neutron stars.
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