Understanding the nuclear equation of state (EOS) is important for a broad range of applications ranging from nuclear structure to nuclear astrophysics. In this paper we apply a non-relativistic Hartree-Fock scheme to study the temperature dependence of the EOS of hot isospin-asymmetric nuclear matter (ANM), based on M3Y-type semi-realistic nucleon-nucleon interactions. We focus on the temperature dependence of the nuclear and thermodynamic properties of hot ANM at its equilibrium saturation point. The results show that increasing the temperature of the hot ANM decreases its saturation binding energy, shifting it to a higher saturation density, and increases its attractive saturation free energy, shifting it to a lower density. This makes the hotter ANM the less bound. Increasing the isospin-asymmetry of the ANM decreases both the saturation binding- and free-energy, and their corresponding densities. The binding (free energy) saturation point disappears at the temperatures larger than 17 MeV (14 MeV). The influence of temperature on the saturation binding and free energy increases with increasing T, but it remains almost steady with increasing the isospin-asymmetry. A maximum isospin-asymmetry $I_{max}=0.81\pm 0.02$ is indicated for a semi-cold bound ANM having saturated free energy.

了解核状态方程（EOS）对于从核结构到核天体物理学的广泛应用非常重要。在本文中，我们基于M3Y型半现实核子-核子相互作用，应用非相对论性Hartree-Fock方案来研究热等位旋不对称核物质（ANM）EOS的温度依赖性。我们专注于热ANM在其平衡饱和点的核和热力学性质的温度依赖性。结果表明，提高热ANM的温度会降低其饱和键能，从而使其移动到较高的饱和密度，并增加其有吸引力的饱和自由能，从而使其移动到较低的密度。这使得较热的ANM的边界变小。ANM的同位旋不对称性的增加会同时降低饱和结合能和自由能及其相应的密度。在大于17 MeV（14 MeV）的温度下，结合（自由能）饱和点消失。温度对饱和键和自由能的影响随温度的升高而增加T，但是随着同位旋不对称性的增加，它几乎保持稳定。最大等旋不对称${\mathrm{一世}}_{米\mathrm{一种}X}=0.81\pm 0.02$ 对于具有饱和自由能的半冷结合的ANM，表明“α”。