中文摘要：

类比”核散射的△-空穴模型得到N^＊-空穴激发态下的η介子自能，将η介子的运动方程与相对论平均场相结合，求解有限核^12C，^40Ca和^208Pb中η介子的束缚态．计算结果显示在η介子的自能中考虑N和N^＊的核介质修正效应对可介子光学势有很大影响．考虑N和N^＊的核介质修正效应后，η介子的束缚态的宽度依赖于N^＊（1535）自能的实部的选取．

英文摘要：

For the ηN introduction was dominant by the N^＊ （1 535） resonance, the self-energy of η meson induced from the analogy to the △-hole model was used to get the equation of motion for η meson. Combine it with the relativistic mean field theory, the binding energy spectra of η meson for nuclei ^12C, ^40Ca and ^208pb are goten. The medium renormalization of N and N^＊ has a strong effect on the optical potential of ηmeson. The width of the η-mesic nuclei are sensitive to the value of V N＊.