Polarization Potential in Low-Energy Electron-H2 Scattering

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An adiabatic polarization potential appropriate to low-energy electron-H2 scattering has been calculated by a variational approach. The total energy of the static electron-H2 system is minimized with respect to the parameters Cαβ in a trial function of the form ψ0(1,2)α,βCαβ(x1+x2)α(z1+z2)β, where ψ0(1,2) is Joy and Parr's one-center ground-state function. The subscripts 1 and 2 refer to the molecular electrons. The polarization potential is found to be well represented by vp0(r)+vp2(r)P2(θ), where θ specifies the position vector of the static electron with respect to the internuclear axis. The radial functions vp0(r) and vp2(r) have been determined over a wide range in r. The polarization potentials are used in a calculation of rotational-excitation cross sections. Comparisons are made with results of other investigations.

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