The equation of state for asymmetric nuclear matter is presented within the Brueckner–Hartree–Fock (BHF) approach by using recent high-quality soft nucleon–nucleon potentials from next-to-leading order (NLO) up to fifth order (N4LO) of the chiral expansion for the wide range of densities and asymmetry parameter, which are very interesting these days in the heavy-ion collisions and neutron stars. For comparison purposes, the same calculations are performed for Brueckner–Hartree–Fock approach plus two-body density-dependent Skyrme potential which is equivalent to three-body forces. Also the results are compared with the other theoretical models, especially the Brueckner–Hartree–Fock plus three-body forces and the Dirac–Brueckner–Hartree–Fock approaches. Our equation-of-state models are able to reproduce the empirical symmetry energy \(\hbox {E}_\mathrm{{sym}}\) and its slope parameter L at the empirical saturation density \(\rho _{0}\) and are compatible with experimental data from collisions between heavy nuclei. The symmetry energy of about 30 MeV is obtained at the saturation nuclear matter density. There is very good agreement between the experimental symmetry energy value and those calculated in the Brueckner–Hartree–Fock approach.

不对称核物质的状态方程在Brueckner–Hartree–Fock（BHF）方法中通过使用最近高质量的从下到前阶（NLO）到第五阶（N4LO）的软核子–核子势来表示。广泛的密度和不对称参数的手性展开式，这些天在重离子碰撞和中子星中非常有趣。为了进行比较，对Brueckner–Hartree–Fock方法进行了相同的计算，加上与两体密度有关的Skyrme势等于三体力。还将结果与其他理论模型进行比较，特别是Brueckner–Hartree–Fock加三体力和Dirac–Brueckner–Hartree–Fock方法。我们的状态方程模型能够再现经验对称能量\（\ hbox {E} _ \ mathrm {{sym}} \）及其在经验饱和密度\（\ rho {{0} \）处的斜率参数L与重核之间碰撞的实验数据兼容。在饱和核物质密度下获得约30 MeV的对称能量。在实验对称能量值与以Brueckner–Hartree–Fock方法计算的能量之间有很好的一致性。