重夸克偶素的高阶变分-积分微扰修正  

Multi-order corrections of variational-integral perturbation for heavy quarkonium

作　　者：赵云辉[1,2] 海文华[1] 朱钱泉[1] 

机构地区：[1]湖南师范大学物理系,长沙410081 [2]邵阳学院物理系,邵阳422000

出　　处：《物理学报》2009年第2期734-739,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10575034);湖南省教育厅(批准号:07C682)资助的课题~~

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.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.

关 键 词：重夸克偶素 变分-积分微扰法 高阶能量修正 

分 类 号：O572.33[理学—粒子物理与原子核物理]