A dressing of zero-range potentials and electron-molecule scattering problem at low energies

Abstract

A dressing of a nonspherical potential, which includes $n$ zero range potentials, is considered. The dressing technique is used to improve ZRP model. 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 $X_n$ and ${YX}_n$ structures is studied. The possibilities of dressed ZRP are illustrated by model calculation of the low-energy electron-Silane (${SiH}_4$) scattering. The results are discussed. Key words: multiple scattering, silane, zero range potential.

6 pages, 2 figures, LEEMI-2002 conf., Sedlce, Poland