Journal of Physical Studies 1(4), 521–527 (1997)
DOI: https://doi.org/10.30970/jps.01.521

A TWO-DIMENSIONAL BASIS FOR THE INVESTIGATION OF ANGULAR CORRELATIONS IN HELIUM-LIKE SYSTEMS

M. I. Haysak*, M. M. Dovhanich*, V. I. Lengyel**,V. V. Onysko**
*Institute of Electron Physics, 294016 Uzhgorod, Ukraine
**Uzhgorod State University, 294000 Uzhgorod, Ukraine

By way of using the hyperspherical coordinates method a two-dimensional basis for the investigation of angular correlations in three-particle systems spectral characteristics is constructed. For two-electron systems like He and H$^{-}$in adiabatic approximation the calculations of lower adiabatic potentials for one- and two- particle–states (autoionisation states) as well as of the angular part of their wave–functions are carried out. The crossing points of adiabatic potentials are revealed, which characterize the regions of nonadiabatic transitions between autoionising states. The classification of a series of quantum states on the basic of knot–lines of basis functions is also carried out.

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