低能氢原子(e,2e)反应中的电子关联

Electron correlation for hydrogen(e,2e) processes at low-energy

利用能壳上跃迁矩阵元的后滞形式和双势公式,计算了入射能为54.4 eV时,电子入射单离化氢原子的三重微分截面(TDCS),并与实验数据、BBK理论和DS3C理论结果进行了比较.通过分解动能算符,对快电子采用平面波的近似,散射振幅可以表示成结构因子(T2)和关联因子(T12)乘积的形式,在略去前者中电子质心运动的基础上,通过对后者中求和级数的讨论,指出了T12中电子的质心运动和相对运动对TDCS的影响,从而分析了T12的收敛问题.

Making use of the post form of the energy shell transition matrix element and the two-potential formula, the triple differential cross sections （TDCS） for ionization of hydrogen in the case of incident energy of 54.4eV are calculated and compared with experiment data, the results of the BBK and DS3C methods. By virtue of dividing the full kinetic energy operator and the approximation of projectile plane wave, the transition matrix element is expressed analytically by the production of two factors： structure-scattering factor（ T2） and correlation one（Tin）. Under canceling of the motion of two-electron mass in the former, the contributions of the motion of two-electron mass and relative motion in T12 are investigated through researching the convergent series in the latter, then the convergent properties of T12 is studied.