在扩展的Skyrme有效相互作用下 ,利用Hartree Fock理论研究了同位旋激发能与温度、密度的关系 .结果表明同位旋激发能随密度的降低以及温度的增加而降低 .同时研究了对称能与同位旋激发能的关系 ,指出对称能是同位旋激发能的一部分 ,且占相当大的比重 .最后研究了不同的势参数下 ,同位旋激发能随相对中子过剩的变化关系 ,发现同位旋激发能较强地依赖于对称能强度系数 ,而对不可压缩系数以及有效质量不太敏感 .从而为实验上通过研究同位旋激发能来提取核物质状态方程中的对称能部分指出了一条途径 Based on the extended Skyrme interaction, the Hartree Fock theory was used to study the relationship between isospin excitation energy and temperature and density. The results show that the isotropic excitation energy decreases with the decrease of density and the increase of temperature. The results show that the symmetry energy is a part of the isotropic excitation energy and accounts for a large proportion of the energy.Finally, we study the variation of isospin excitation energy with the relative neutron excess under different potential parameters, Can strongly depend on the symmetry energy intensity coefficient, but is not sensitive to the incompressibility coefficient and the effective mass, so as to experimentally point out a way to study the symmetry energy part of the equation of state in nuclear matter by studying isospin excitation energy