Abstract
The total energies and various bound state properties of the excited 21S(L = 0)-states in two-electron helium atoms, including the $^{\infty}\rm He$ , $^4\rm He$ and $^3\rm He$ 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 21S(L = 0)-states in the 4He and 3He 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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