TITLE:
A Search on Two-Electron Atoms
AUTHORS:
Mustafa Çapak, Bülent Gönül
KEYWORDS:
Hydrogen Like Atoms, Screening Parameter
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.9,
September
19,
2011
ABSTRACT: Using the basic ingredient of two-body problem, we propose accurate algebraic solutions in a closed form for the ground state of helium and helium-like atoms. These simple but explicit expressions involve exact screening parameters for each system considered and provide an insight into their physical structure. The energy eigenvalues have been exactly calculated for atoms with nuclear charge Z in the range 1 ≤ Z ≤ 12, clarifying the relation between the screening parameteter and Z.