Electron-impact vibrational excitation of CO$_2$ in a cluster environment

Electron collisions with CO$_2$ clusters are strongly affected by vibrational Feshbach resonances$^1$ which appear due to the long-range polarization interaction between the electron and the cluster. We have developed a theory$^2$ allowing inclusion of this effect in the attachment process and also in vibrational excitation of one molecular unit in the cluster environment. We predict a rich resonance structure in vibrational excitation of Fermi polyads representing mixtures of symmetric stretch and bending vibrations. A zero-range-potential model has been developed to investigate a possibility of simultaneous vibrational excitation of two or more molecular units. $^1$ H. Hotop, M.-W. Ruf, M. Allan, I. I. Fabrikant, Adv. At. Mol. Opt. Phys. {\bf 49}, 85 (2003). $^2$ I. I. Fabrikant and H. Hotop, Phys. Rev. Lett., to be published.