Vibrorotational Excitations ofH2+bye+Impact. I

Abstract

Analogies between Coulomb excitations of nuclei and ionic molecules by charged projectiles are utilized to calculate vibro rotational excitations of $\mathrm{H}_2^{}{}_{}{}^{+}$ molecular ions by $e^{+}$ impact by a semiclassical method developed in the nuclear case. The coupling between vibrational-rotational states of target molecules can very significantly affect the scattering cross sections for either kind of excitation on the other. In this paper we have shown that the effect of such coupling may be included very conveniently, under the present model, whenever applicable. In a subsequent paper we intend to publish results for the experimentally more accessible systems, including the ${\mathrm{H}}^{+}$ + $\mathrm{H}_2^{}{}_{}{}^{+}$ system.