Dissociative recombination by frame transformation to Siegert pseudostates: A~comparison with a numerically solvable model

Abstract

We present a simple two-dimensional model of the indirect dissociative recombination process. The model has one electronic and one nuclear degree of freedom and it can be solved to high precision, without making any physically motivated approximations, by employing the exterior complex scaling method together with the finite-elements method and discrete variable representation. The approach is applied to solve a model for dissociative recombination of H${}_2^{+}$ and the results serve as a benchmark to test validity of several physical approximations commonly used in the computational modeling of dissociative recombination for real molecular targets. The second, approximate, set of calculations employs a combination of multi-channel quantum defect theory and frame transformation into a basis of Siegert pseudostates. The cross sections computed with the two methods are compared in detail for collision energies from 0 to 2 eV.

References in corpus (4)

• Rotational transitions induced by collisions of HD${}^{+}$ ions with low energy electrons
• Inelastic low-energy collisions of electrons with HeH${}^{+}$: rovibrational excitation and dissociative recombination
• ab initio frame transformation calculations of direct and indirect dissociative recombination rates of HeH+ + e-
• Indirect dissociative recombination of LiH${}_2^{+}$ + e${}^{-}$

Cited by in corpus (3)

• Energy-dependent frame transformation theory for dissociative recombination
• On the validity of the Born-Oppenheimer approximation in the indirect dissociative recombination process
• Competing Ionization and Dissociation in the H${}_2$ Gerade System