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Low-Lying S-States of Two-Electron Systems

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Abstract

The energies of the low-lying bound S-states of some two-electron systems (treating them as three-body systems) like negatively charged hydrogen, neutral helium, positively charged-lithium, beryllium, carbon, oxygen, neon, argon and negatively charged muonium and exotic positronium ions have been calculated employing hyperspherical harmonics expansion method. The matrix elements of two-body interactions involve Raynal–Revai coefficients which are particularly essential for the numerical solution of three-body Schrődinger equation when the two-body potentials are other from Coulomb or harmonic. The technique has been applied for to two-electron ions 1H− (Z = 1) to 40Ar16+ (Z = 18), negatively charged-muonium Mu− and exotic positronium ion Ps−(e + e − e −) considering purely Coulomb interaction. The available computer facility restricted reliable calculations up to 28 partial waves (i.e. K m  = 28) and energies for higher K m have been obtained by applying an extrapolation scheme suggested by Schneider.

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  1. Department of Physics, Aliah University, Maulana Abul Kalam Azad Bhavan, DD-45, Sector-I, Salt Lake, Kolkata, 700064, India

    Md. Abdul Khan

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Khan, M.A. Low-Lying S-States of Two-Electron Systems. Few-Body Syst 55, 1125–1139 (2014). https://doi.org/10.1007/s00601-014-0881-8

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