Calculation of the polarization potential fore-N2collisions

A polarization potential ($V_{\mathrm{pol}}$) for $e$-${\mathrm{N}}_2$ collisions is calculated by the generalization of the static part of the method of polarized orbitals to molecular targets. Partial differential equations (PDE) are derived for polarized orbitals, which are functions of the distance ($r$) from the molecular center and angle ($\theta$) from the molecular axis. The equations are solved with the use of the noniterative PDE technique. From the polarized orbitals a polarization potential can be constructed whose $r$ and $\theta$ dependence is found to be significantly different from the well-known phenomenological one. The two potentials are further compared by carrying out limited hybrid-theory scattering calculations. Only those scattering results based on the calculated $V_{\mathrm{pol}}$ are in satisfactory accord with experiment.