Articles you may be interested in Dissociative recombination of H + ( H 2 O ) 3 and D + ( D 2 O ) 3 water cluster ions with electrons: Cross sections and branching ratiosWe report elastic differential, integral, and momentum transfer cross-sections for H 2 X molecules ͑X: O, S, Se, and Te͒ obtained at the static exchange level of approximation. The energy range considered was from 2 up to 30 eV for H 2 O and from 5 up to 30 eV for the other molecules. Our calculations were performed with the Schwinger multichannel method with pseudopotentials ͓M. H. F. Bettega, L. G. Ferreira, and M. A. P. Lima, Phys. Rev. A 47, 1111 ͑1993͔͒, combined with a Born closure procedure in order to account for the long-range potential due to the permanent dipole moment of the targets. Our calculated cross-sections for H 2 O and H 2 S are in good agreement with other theoretical results. Agreement with available experimental data is also encouraging. It was found that molecular size plays a crucial role in the scattering process. The influence of heavy and H atoms in the collisions is also discussed. For the integral cross-sections of the heavier molecules we also investigated incident energies below 5 eV, looking for possible shape resonances. Through the symmetry decomposition of the integral cross-sections and the eigenphase sum analysis, we found shape resonances for H 2 S, H 2 Se, and H 2 Te at the B 2 symmetry. For H 2 Te, we have also found a shape resonance at the A 2 symmetry. For all molecules a very broad structure was found at the A 1 symmetry. This is the first work to report such resonances for H 2 Se and H 2 Te.