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本文采用经典禁闭场论的方法,利用一个特殊的口袋模型导出了计及胶子质量效应后的重夸克偶素长程势,从而得到一个新的有效位势:Veff=-4/3αs(e-μr)/r +(gv+gs)r(th((μr)/2)/((μr)/2))1/2+V0。从这一位势模型出发,推导了Breit-Fermi项。并通过数值解薛定谔方程,利用多因素优选法,分别对μ=0.2GeV,μ=Assuming that the gluon possesses a non-zero effective mass μ, we derive an effective Hamiltonian for quarkonium by non-linear U(l) gauge field theories. For μ=0.2 GeV, 0.4 GeV and 0.6 GeV, we calculate the spectra for charmonium and upsilon, which are in good agreement with experiment. Finally, we discuss the effect of gluon mass on the spectra and potential.
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