中文摘要：

利用基于积分方程的改进的变分微扰方法（变分-积分微扰法）求解重夸克偶素激发态.设置含有变分参数的母哈密顿量作为零级哈密顿量,选择该母哈密顿系统的精确解作为试探波函数,得到了只有几项的高阶修正波函数和高阶能量修正.该计算结果更接近精确能量值,修正波函数的有界性和收敛性也得到了证明.结果表明,这种方法不仅可提高计算结果的精度,而且可确保微扰级数解的收敛性.

英文摘要：

We employ the improved variational-perturbation method based on integral equation （variational-integral perturbation method） to solve the heavy quarkonium in the 2S state. Setting the mother Hamiltonian including variational parameter as the zero-order Hamiltonian and choosing the exact solution of the mother Hamiltonian system as the trial wave function, we obtain the multi-order corrected wave functions consisting of a few terms and calculate the multi-order energy corrections. The corrected wave functions are quadratically integrable and the energy corrections are in good agreement with the exact data. The boundedness and convergence of the perturbation series solution are also verified. The results show that the variational-integral perturbation method can not only raise precision of the result but also keep convergence of the wave function.