Dissociative recombination of H⁺₂with slow electrons for a rigorous examination of theory

Abstract

Abstract. The Lippmann-Schwinger (LS) equation for the K matrix is numerically solved for the collision of H+ 2 + e interacting by the configuration interaction (CI), of which magnitude is carefully deduced from ab-initio calculation of electron scattering. The LS equation is extended to the negative collision energies in the context of multichannel quantum defect theory (MQDT) for the dissociative recombination (DR). Using the MQDT method for the DR, The DR cross section of H + 2 is obtained. It has turned out that the DR at low energy is induced by the indirect process with rotational excitation and the off-the-energy-shell contribution is indispensable for the accurate description. The present calculation represents the recent state specific experiment [1], and has assured the effectiveness of the MQDT method for DR.

Ionization in collisions between metastable hydrogen atoms

“…The E −1 dependence of the associative ionization cross section follows directly from the prefactor of Eq. (21). The E −2/3 dependence of the Penning cross section shows that the exact numerical solution to Eq.…”

“…These include protostellar outflows [8], envelopes of supernovae [9], and stellar atmospheres [10][11][12]. The inverse process of dissociative recombination of H 2 + is also known to be important in many astrophysical environments and, due to its technological importance, has been the subject of extensive theoretical [13][14][15][16][17][18][19][20][21][22] and experimental [23][24][25][26][27][28][29][30][31][32][33][34] investigations. Associative ionization between two metastable hydrogen atoms is less likely to occur naturally due to competition with other reactions.…”

Division Xii / Commission 14 / Working Group Collision Processes

“…Dissociative and recombination processes: HD + (Fifirig & Stroe 2008, Takagi et al 2009, Stroe & Fifirig 2011), H + 3 (Glosík et al 2009), HF + (Roos et al 2008, Roos et al 2009 (Hamberg et al 2010b).…”

Multi-channel quantum defect theory to dissociative recombination with and without electronic resonance scattering

“…It is required to solve the scattering problem by the CI with the accuracy beyond the perturbation theory. This could be achieved by solving the Lippmann-Schwinger equation fully taken account the off-the-energy-shell contribution beside the on-the-energy shell [7,8]. The off-theenergy-shell contribution induces the transition among {φ (r; R)} ⊗ {χ v (R)} other than between {φ (r; R)} ⊗ {χ v (R)} and {ϕ d (r; R)} ⊗ {F ε (R)}.…”

“…Using the method briefly introduced in section 2.1, the cross sections for DR of H + 2 and HD + at low energies (< 1eV) are calculated [8,7]. This method seems to work well although it is difficult to extend to a wider collision energy region or to other complex molecules.…”