Ramsauer-Townsend极小值下零程势的修正和电子-分子散射问题
A dressing of zero-range potentials and electron-molecule scattering problem at Ramsauer-Townsend minimum
摘要：
采用修整技术对零程电位模型进行了改进。我们考虑一个从ZRP开始的达布变换，“修整”的结果给出了一个具有非零范围的势，该势依赖于种子溶液参数。为了进行达布变换，我们引入了非球势的分波和分相的概念。研究了规则X $_{\hbox{n}}$和YX $_{\hbox{n}}$结构上的散射问题。通过对硅烷（$\hbox{SiH}_4$）分子构型和参数的模型计算，说明了低能电子-分子散射在修饰的ZRP上的结果。\center {关键词：低能散射，多次散射，Ramsauer-Townsend极小值，硅烷，零程势。
英文摘要：
A dressing technique is used to improve zero range potential (ZRP) model. We consider a Darboux transformation starting with a ZRP, the result of the "dressing" gives a potential with non-zero range that depends on a seed solution parameters. Concepts of the partial waves and partial phases for non-spherical potential are used in order to perform Darboux transformation. The problem of scattering on the regular X$_{\hbox{n}}$ and YX$_{\hbox{n}}$ structures is studied. The results of the low-energy electron-molecule scattering on the dressed ZRPs are illustrated by model calculation for the configuration and parameters of the silane ($\hbox{SiH}_4$) molecule. \center{Key words: low-energy scattering, multiple scattering, Ramsauer-Townsend minimum, silane, zero range potential.
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