Abstract
An energy-dependent rovibrational-frame-transformation method, combined with the multichannel quantum-defect theory, has been applied to study the vibrational excitations of ${\mathrm{H}}_{2}$ by electron collision in the energy range below 5 eV. A class of nonadiabatic effects resulting from large collision time delay has been accounted for. Using a special set of short-range Born-Oppenheimer eigenstates, this approach does not explicitly introduce electron-molecule compound states. We show that the body-frame quantum-defect function ${\mathrm{\ensuremath{\mu}}}_{\mathit{l}=1}$(\ensuremath{\varepsilon},R), containing the information about the dynamical coupling of the incident electron and the molecular target, is all one needs to describe the scattering properties of the system.
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