We calculate the equation of state (EOS) of spin-polarized nuclear matter in the relativistic Hartree-Fock method. To this end, we employ the relativistic point-coupling model, with which the Fock terms are considerably simplified, reducing them to the same form as the Hartree terms. In analogy to the slope parameter $L$ of the isospin-symmetry energy for spin-unpolarized matter, we evaluate the spin slope parameter $L_s$ of the corresponding spin-symmetry energy for spin-polarized matter. We find that the slope parameter $L$ and the spin slope parameter $L_s$ have a negative correlation in the case of isoscalar polarization, where neutrons and protons are spin polarized in the same direction. On the other hand, the spin slope parameter is nearly independent of the slope parameter in the case of isovector polarization, where neutrons are spin-polarized along the opposite direction to protons. We show that these correlations are a natural consequence of the relativistic point-coupling model, which we employ.

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• Nuclear astrophysics
• Nuclear density functional theory
• Nuclear many-body theory
• Nuclear matter
• Nuclear matter in neutron stars
• Nuclear spin & parity
• Nuclear structure & decays