• Systematic trends in the line strengths and radial matrix elements of E1 transitions in the Be isoelectronic sequence

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      https://www.ias.ac.in/article/fulltext/pram/045/06/0537-0543

    • Keywords

       

      Radial matrix elements; line strength; oscillator strength; Hartree-Fock; near-degeneracy; hydrogenic limit

    • Abstract

       

      Line strengthS and radial matrix elementσ for the dipole allowed transitions withinn=2 complex of ions in the Be isoelectronic sequence have been fitted in the formsZ2S=A+B/(Z − C) andZσ=A′ + B′/(Z − C′). The constantsA, B, C andA′, B′, C′ have been calculated by employing a non-linear least square method. The relevant data forS andσ have been taken from calculations which includes correlation effects. It is shown that the fitted yalues ofA andA′ are in excellent accord with their hydrogenic values (Zα) provided that we express the zeroth-order wavefunction of the ground state 1s22s21S as a quantum-mechanical admixture of the Hartree-Fock (HF) state 1s22s21S and the near-degenerate state 1s22p21S.

    • Author Affiliations

       

      Anand Bharadvaja1 K L Baluja1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi - 110 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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