Role of sharp avoided crossings in short hyper-radial range in recombination of the cold 4He3 system

Product-State Distributions of Three-Body Recombination in Zero-Collision-Energy 4He2-Alkaline-Earth-Metal Systems

The distributions of product states after three-body recombination (TBR) of zero-collision-energy 4He2X systems, with X being 9Be, 24Mg, 40Ca, 88Sr, or 138Ba, are investigated in the hyperspherical representation by quantum mechanically solving the Schrödinger equation. It is found that the weakly bound (dimer) product states are preferentially populated for all of these cases, which could be understood from the joint effects of the lowest incident channel and the relatively long-range behavior of the corresponding nonadiabatic couplings among these lowest incident and shallow recombination channels. For the strongly bound products, since the flow is accessible in the small hyperradial region, their distributions are closely related to the behavior of the nonadiabatic couplings among the corresponding deep recombination channels. Particularly, our results indicate that the products are not always formed exclusively in the most weakly bound state when the scattering lengths among the reactants are relatively large and that there may exist a large fluctuation of the strongly bound products versus their binding energies in the universal region. In addition, the total TBR rates of these nonuniversal systems are also accounted for by the joint effects of the main adiabatic potentials and nonadiabatic couplings.

Scattering length scaling rules for atom-atom-anion three-body recombination of zero-energy 4He4He6Li- system

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.

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

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 × k_B or 0.3 mK × k_B for ⁴He⁴He⁶Li^- and ⁴He⁴He⁷Li^- systems, respectively, with k_B 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 ⁴He^xLi^- products, are relatively larger than that of neutral ⁴He₂ molecules for both the two systems.

Cold atom-atom-ion three-body recombination of 4He-4He-X- (X = H or D)

The atom-atom-ion three-body recombination (TBR) of mixed ⁴He and X^- (X = H or D) systems is investigated by solving the Schrödinger equation using the adiabatic hyperspherical representation method. It is shown that the dominant products after a TBR in the ultracold limit (E ≤ 0.1 mK × k_B) are different for the two systems. For the ⁴He⁴HeH^- system, the rate of TBR into the ⁴HeH^- ion is nearly two orders of magnitude larger than that of TBR into the neutral ⁴He₂ molecule. In contrast, the yield of ⁴He₂ is a little higher than that of ⁴HeD^- for the ⁴He⁴HeD^- system. Furthermore, since the adiabatic potentials become more attractive and the nonadiabatic couplings become much stronger by substituting D for H in the ⁴He⁴HeH^- system, the total TBR rate for the ⁴He⁴HeD^- system is nearly two orders of magnitude larger than that for the ⁴He⁴HeH^- system.