电子碰撞类氢离子电离非相对论跃迁矩阵元

利用BBK模型,导出了电子-类氢离子碰撞电离跃迁矩阵元的解析形式。出射道用包含三个适当的合流超几何函数,且满足适当的三体库仑边界条件的关联BBK波函数来描述,入射道考虑了入射电子与靶离子的长程库仑相互作用而包括一库仑波。含有四个合流超几何函数在内的跃迁T-矩阵元的六维空间积分已约化为一包含高斯-超几何函数的三维实参数积分。忽略入射电子与靶离子的库仑相互作用时,表示用平面波描述的入射电子与靶离子的碰撞,再取靶离子电荷数Z=1时,表示氢原子的电离;略去排斥因子(α₁₂=0)时,又表示不考虑关联的电离。从而可分析各种情况的电离性质。在目前离子的(e,2e)反应三微分截面实验数据还不具备的情况下,可先提供一些必要的理论结果。进而可广泛地应用于处理散射问题之中。

ELECTRON IMPACT IONIZATION NO-RELATIVISTIC TRANSITION MATRIX ELEMENT FOR H-LIKE IONS

The non-relativistic transition T-matrix element for electron impact ionization of H-like has been calculated with starting from the formulation of Brauner,Briggs and Klar.The final state wavefunction involving three appropriate confluent hypergeometric functions considers all three two-body interactions on an equal footing and satisfies the proper Coulomb boundary conditions.The long range Coulomb interaction occurring in the initial channel has been taken into account properly.The T-matrix element,including four confluent hypergeometric functions,has been reduced to a three-dimensional integral in real space.The results are of use in a wide class of scattering problems.