On highly accurate calculations of the excited $n^1S(L = 0)-$states in helium atoms

Details On highly accurate calculations of the excited $n^1S(L = 0)-$states in helium atoms On highly accurate calculations of the excited $n^1S(L = 0)-$states in helium atoms

2010-08-08

arxiv.org/abs/1008.1415v3

European Physical Journal D (At. Mol. & Opt. Phys.), v. 61, 305 - 313 (2011)

Physics

Atomic Physics

Scientific paper

10.1140/epjd/e2010-100500-9

The total energies and various bound state properties of the excited $2^1S(L = 0)-$states in two-electron helium atoms, including the ${}^{\infty}$He, ${}^4$He and ${}^3$He atoms, are determined to very high numerical accuracy. The convergence of the results obtained for some electron-nuclear and electron-electron expectation values and, in particular, for the electron-nuclear and electron-electron cusp values, is discussed. The field component of the isotope shift and lowest order QED correction are estimated for the $2^1S(L = 0)-$states in the ${}^4$He and ${}^3$He atoms. We also apply our highly accurate methods to numerical computations of the excited $n^1S-$states (for $n$ = 3 and 4) in two-electron atomic systems.

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