Physics – Atomic Physics
Scientific paper
2007-08-22
Physics
Atomic Physics
RevTeX, 10 pages, 5 figures; revised version
Scientific paper
We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential. We apply our model to electron scattering on N$_2$ and CO$_2$. The parameters of the effective-range expansion (i.e. the scattering length and the effective range) are determined from experimental, integral elastic cross sections in the 0.1 - 1.0 eV energy range. For both molecular targets our treatment predicts shape resonances that appear slightly higher than experimentally known resonances in total cross sections. Agreement with the experiment can be improved by assuming the position of the resonance in a given partial wave. Influence of quadrupole potential on resonances is also discussed: it can be disregarded for N$_2$ but gets significant for CO$_2$. In conclusion, our model developed within the effective range formalism reproduces well both the very low-energy behavior of the integral cross section as well as the presence of resonances in the few eV range.
Idziaszek Zbigniew
Karwasz Grzegorz
No associations
LandOfFree
Shape resonances in modified effective range theory for electron-molecule collisions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Shape resonances in modified effective range theory for electron-molecule collisions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shape resonances in modified effective range theory for electron-molecule collisions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-135737