E. A. Kolganova

Binding energies and scattering observables in the 4He3 atomic system

Abstract:The 4He3 system is investigated using a hard-core version of the Faddeev differential equations. Realistic 4He-4He interactions are employed, among them the LM2M2 potential by Aziz and Slaman and the recent TTY potential by Tang, Toennies and Yiu. We calculate the binding energies of the 4He trimer, but concentrate in particular on scattering observables. The scattering lengths and the atom-diatom phase shifts are calculated for center of mass energies up to 2.45 mK. It is found that the LM2M2 and TTY potentials, although of quite different structure, give practically the same bound-state and scattering results.

Three-body configuration space calculations with hard-core potentials

We present a mathematically rigorous method suitable for solving three-body bound-state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the boundary condition model and it has been employed to calculate the binding energies for a system consisting of three atoms. Two realistic He-He interactions of Aziz and collaborators have been used for this purpose. The results obtained compare favourably with those previously obtained by other methods. We further used the model to calculate, for the first time, the ultralow-energy scattering phase shifts. This study revealed that our method is ideally suited for three-body molecular calculations where the practically hard-core of the inter-atomic potential gives rise to strong numerical inaccuracies that make calculations for these molecules cumbersome.

The 4He Trimer as an Efimov System

We review the results obtained in the last four decades which demonstrate the Efimov nature of the 4He three-atomic system.

Scattering length of the helium-atom-helium-dimer collision

We present our recent results on the scattering length of {sup 4}He-{sup 4}He{sub 2} collisions. These investigations are based on the hard-core version of the Faddeev differential equations. As compared to our previous calculations of the same quantity, a much more refined grid is employed, providing an improvement of about 10%. Our results are compared with other ab initio and model calculations.

Binding Energies and Scattering Observables in the 4He3 and 3He4He2 Three-Atomic Systems

Abstract.The asymmetric 3He4He2 three-atomic system is studied on the basis of a hard-core version of the Faddeev differential equations. Binding energy and scattering observables for this system are compared to previous results for the symmetric 4He3 problem.

ULTRALOW ENERGY SCATTERING OF A HE ATOM OFF A HE DIMER

We present a mathematically rigorous method suitable for bound-state and scattering process calculations for various three-atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to calculate the binding energies and the ultra-low-energy scattering phase shifts below as well as above the breakup threshold for the three-He-atom system. The method has proved to be highly successful and suitable for solving the three-body bound-state and scattering problem in configuration space and thus it paves the way to study various three-atomic systems, and to calculate important quantities such as the cross sections, recombination rates, etc. {copyright} {ital 1997} {ital The American Physical Society}

Weakly Bound Li He_\mathbf{2 } Molecules

The results for binding energies of

Decay processes of He H µ-molecular ions in the hyperspherical surface function method

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