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Exponential representation in the Coulomb three-body problem
The exponential representation in the Coulomb three-body problem is considered. It is shown that the exponential variational expansion in relative coordinates r32, r31 and r21 has a number ofExpand
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Positron annihilation in the positronium negative ion Ps
Abstract The energy and other bound state properties of the positronium negative ion Ps − (or e − e + e − ) are determined to high accuracy with the use of extremely accurate variational waveExpand
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Hylleraas-configuration-interaction analysis of the low-lying states in the three-electron Li atom and Be + ion
The total energies of 28 bound S, P , D, F , G, H ,a ndI states in the three-electron Li atom and Be + ion, respectively, are determined with the use of the configuration interaction (CI) with SlaterExpand
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CORRIGENDUM: Highly accurate evaluation of the few-body auxiliary functions and four-body integrals
Analytical formulae suitable for numerical calculations of the second- and third-order auxiliary functions A2 (k, m, a, b) and A3 (k, l, m, a, b, c) are presented. These formulae can directly be usedExpand
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New method for highly accurate calculations of the photodetachment cross-sections of the negatively charged hydrogen ions
Abstract New approach to highly accurate calculations of the photodetachment cross-sections of the negatively charged hydrogen ions is developed. This effective, fast and numerically stable method isExpand
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Ground state of positronium hydride
The ground bound state in the positronium hydride molecule (HPs) is determined from extensive variational four-body calculations with the James-Coolidge four-body variational expansion in theExpand
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Singular and nonsingular three-body integrals for exponential wave functions.
Integrals which are individually singular, but which may be combined to yield convergent expressions, are needed for computations of relativistic effects and various properties of atomic andExpand
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Photodetachment of the hydrogen and positronium negative ions
The photodetachment of the ∞H−, T−, D−, 1H−, Mu− and Ps− ions by low-energy photons is considered in terms of the two-body cluster approximation. For all considered systems the constant C in theExpand
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The Hamiltonian formulation of tetrad gravity: Three-dimensional case
The Hamiltonian formulation of tetrad gravity in any dimension higher than two, using its first-order form where tetrads and spin connections are treated as independent variables, is discussed, andExpand
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Three-particle integrals with spherical Bessel and Neumann functions and photodetachment of the negatively charged hydrogen ions
A few approaches are derived to calculate three-particle integrals which include spherical Bessel functions of the first and second kind, i.e., the $$j_{\ell }(V r)$$jℓ(Vr) and $$n_{\ell }(VExpand
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