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The Journal of Chemical Physics

Cold atom-atom-anion three-body recombination of 4He4HexLi− (x = 6 or 7) systems

Binbin Wang, Su‐Hua Jing, Tixian Zeng

Published Mar 1, 2019• 12 citations
Publisher

Abstract

Atom-atom-anion three-body recombination (TBR) in mixed 4He and xLi− (x = 6 or 7) is investigated in the adiabatic hyperspherical representation by quantum mechanically solving the Schrödinger equation. The distributions of product states following these TBR processes are found to be relatively different for the two systems when the collision energy is less than roughly 0.6 mK × kB or 0.3 mK × kB for 4He4He6Li− and 4He4He7Li− systems, respectively, with kB being the Boltzmann constant. For 4He4He6Li− systems, the rate of recombination into (v=0) l = 04He6Li− molecular anions is the largest with v and l denoting the rovibrational quantum numbers, while the TBR rate that leads to the formation of l = 14He6Li− molecular anions is a little smaller than that of neutral 4He2 molecules. For 4He4He7Li− systems, neutral 4He2 molecules tend to be the most products, following the yields of l = 0 and 1 4He7Li− molecular anions. However, in spite of these distinctly different distributions, the products of molecular anions, the sum of l = 0 and 1 4HexLi− products, are relatively larger than that of neutral 4He2 molecules for both the two systems.

DOI
10.1063/1.5087522

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Atom-atom-anion three-body recombination (TBR) in mixed 4He and xLi− (x = 6 or 7) is investigated in the adiabatic hyperspherical representation by quantum mechanically solving the Schrödinger equation. The distributions of product states following these TBR processes are found to be relatively different for the two systems when the collision energy is less than roughly 0.6 mK × kB or 0.3 mK × kB for 4He4He6Li− and 4He4He7Li− systems, respectively, with kB being the Boltzmann constant. For 4He4He6Li− systems, the rate of recombination into (v=0) l = 04He6Li− molecular anions is the largest with v and l denoting the rovibrational quantum numbers, while the TBR rate that leads to the formation of l = 14He6Li− molecular anions is a little smaller than that of neutral 4He2 molecules. For 4He4He7Li− systems, neutral 4He2 molecules tend to be the most products, following the yields of l = 0 and 1 4He7Li− molecular anions. However, in spite of these distinctly different distributions, the products of molecular anions, the sum of l = 0 and 1 4HexLi− products, are relatively larger than that of neutral 4He2 molecules for both the two systems.
The atom-atom-anion three-body recombination (TBR) of $^{3}\mathrm{He}+^{3}\mathrm{He}+{X}^{\ensuremath{-}}$(X=HorDX=\mathrm{H}\phantom{\rule{4pt}{0ex}}\text{or}\phantom{\rule{4pt}{0ex}}\mathrm{D}X=HorD) 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 lll 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.
The atom-atom-anion three-body recombination (TBR) and collision induced dissociation (CID) processes of the 3He–3He–T− system at ultracold temperatures are investigated by solving the Schrödinger equation in the adiabatic hyperspherical representation. The variations of the TBR and CID rates with the collision energies in the ultracold temperatures are obtained. It is found that the JΠ = 1− symmetry dominates the TBR and CID processes in most of the considered collision energy range. The rate of TBR (CID) into (from) the l = 1 anion is larger than those for the l = 0 and l = 2 anions, with the l representing the rotational quantum number of 3HeT−. This can be understood via the nonadiabatic couplings among the different channels.
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The scattering length scaling rules for three-body recombination (TBR) of the 4He4He6Li- system in the zero-energy limit (E → 0) are investigated by considering various post-Born-Oppenheimer (post-BO) contributions to the standard BO potential of He-He interaction. It is found that these post-BO effects on the TBR rates that lead to different dimer products could be well fitted by the scattering length scalings Cab with a being the scattering length of the He-He interaction, and b and C the constants. It is interesting to find that the powers b about both the weakly and deeply bound dimer products are quite different from the well-known powers given by the scattering length scaling laws in the fields of ultracold neutral atomic gases. Such difference and the distinct powers associated with various dimer products are qualitatively accounted for by the properties of the major effective potentials and relatively long-range nonadiabatic couplings. Particularly, from these properties, the scaling powers are expected to be dependent on systems, but the power scattering length scaling behaviors to be universal, which has also been checked to apply to a wide range of a by tuning the He-He interaction.
We study three-body recombination in the helium-helium-silver system at cold collision energies. The three-body Schr\"odinger equation is solved combining the slow variable discretization and adiabatic approaches with the RRR-matrix propagation method, in order to calculate the product-state-selective total and partial recombination rates in the 4He+4He+^{4}\mathrm{He}+^{4}\mathrm{He} +4He+4He+ Ag system. Recombination at collision energies less than 10 mK is found to take place dominantly to the product molecule 4HeAg^{4}\mathrm{He}\mathrm{Ag}4HeAg in its least bound state, while the three atoms recombine mainly to the 4He2^{4}\mathrm{He}_{2}4He2​ molecule in its ground state at higher collision energies.