• Use of harmonic oscillator potential in the analysis of muonic transition energies

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      https://www.ias.ac.in/article/fulltext/pram/015/02/0163-0173

    • Keywords

       

      Muonic atom; harmonic oscillator potential; classical turning point; vacuum polarisation

    • Abstract

       

      Energy levels: 1s1/2, 2p1/2, 2p3/2, 3d3/2, and 3d5/2 of the muon in the spherical nuclei:120Sn,197Au and208Pb have been calculated under the assumption of harmonic oscillator potential. The levels are corrected for vacuum polarisation. The agreement with experimental values is better than 0·5%. An accurate method of solving the Dirac equation to obtain the energy eigenvalues is outlined. The importance of choosing the ‘classical turning point’ as the radius for matching the interior and exterior solutions is discussed.

    • Author Affiliations

       

      K V Subba Rao1 A A Kamal1

      1. Physics Department, Osmania University, Hyderabad - 500 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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