Abstract
The atom-atom-anion three-body recombination (TBR) of $^{3}\mathrm{He}+^{3}\mathrm{He}+{X}^{\ensuremath{-}}$($X=\mathrm{H}\phantom{\rule{4pt}{0ex}}\text{or}\phantom{\rule{4pt}{0ex}}\mathrm{D}$) systems at ultracold temperatures ($T=0.01\ensuremath{\sim}100$ mK) are studied by solving the Schr\"odinger equation in the adiabatic hyperspherical representation. It is found that for each system, $^{3}\mathrm{He}+^{3}\mathrm{He}+{\mathrm{H}}^{\ensuremath{-}}$ or $^{3}\mathrm{He}+^{3}\mathrm{He}+{\mathrm{D}}^{\ensuremath{-}}$, the ${J}^{\mathrm{\ensuremath{\Pi}}}={1}^{\ensuremath{-}}$ symmetry dominates the TBR process, and the rates of TBR into $l=1\phantom{\rule{4pt}{0ex}}^{3}\mathrm{He}{X}^{\ensuremath{-}}$ molecular anions are roughly three times as large as than that into $l=0\phantom{\rule{4pt}{0ex}}^{3}\mathrm{He}{X}^{\ensuremath{-}}$ molecular anions for $T\ensuremath{\in}[0.01,10]$ mK, where $l$ denotes the two-body rotational quantum number. In addition, for a given product state, the TBR rates of the $^{3}\mathrm{He}{+}^{3}\mathrm{He}+{\mathrm{H}}^{\ensuremath{-}}$ system are larger than that of the $^{3}\mathrm{He}+^{3}\mathrm{He}+{\mathrm{D}}^{\ensuremath{-}}$ system by roughly two orders of magnitude which could be ascribed to the major nonadiabatic couplings between the entrance and recombination channels.
Highlights
Three-body recombination (TBR), as a typical scattering process, is one of the elemental types for chemical reactions
Because the TBR process plays an important role in many physical processes, including trapping ultracold atoms [7,8], nuclear physics, the chemical dynamics of combustion and gas-phase system [4,9,10], etc., this process has attracted wide attention of many researchers
In this classical threshold law, since the charge-induced dipole interaction C4/r4 is more attractive than the van der Waals interaction C6/r6, it is considered that the TBR process for the atom-atom-ion systems are more obvious than that for the neutral atomic ternary systems and the molecular ion should dominate over the neutral molecule as the most formed product
Summary
Three-body recombination (TBR), as a typical scattering process, is one of the elemental types for chemical reactions. K3 and the total collision energy E should follow the relationship of K3 ∝ E −3/4 [25] In this classical threshold law, since the charge-induced dipole interaction C4/r4 is more attractive than the van der Waals interaction C6/r6, it is considered that the TBR process for the atom-atom-ion systems are more obvious than that for the neutral atomic ternary systems and the molecular ion should dominate over the neutral molecule as the most formed product. Through the full-dimensional quantum mechanical calculations, we have studied the distribution of final products after the TBR process in the ultracold limit and the dependence of the TBR rate on the collision energy for different partial waves. Atomic units are used throughout except when explicitly stated otherwise
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