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给出一种适用于推广的Ｔｈｏｍａｓ－Ｆｅｒｍｉ方法（ＥＴＦ）的密度形式．取ＳｋＭ势参量，对几个球形核的基态性质进行了计算，结果优于通常采用的多参数密度形式．用期望值方法（ＥＶＭ）给出的基态能量能重现Ｈ—Ｆ的计算结果．
A density form suitable for generalized Thomas-Fermi method (ETF) is given. Taking the parameters of SkM potential, the ground state properties of several spherical nuclei are calculated and the results are better than the commonly used multi-parameter density forms. The ground state energy given by the Expected Value Method (EVM) can reproduce the H-F calculation result.