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Non-perturbative Calculation of the Positronium Mass Spectrum in Basis Light-Front Quantization

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Abstract

We report on recent improvements to our non-perturbative calculation of the positronium spectrum. Our Hamiltonian is a two-body effective interaction which incorporates one-photon exchange terms, but neglects fermion self-energy effects. This effective Hamiltonian is diagonalized numerically in a harmonic oscillator basis at strong coupling (\({\alpha = 0.3}\)) to obtain the mass eigenvalues. We find that the mass spectrum compares favorably to the Bohr spectrum of non-relativistic quantum mechanics evaluated at this unphysical coupling.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Iowa State University, Ames, IA, 50011, USA

    Paul Wiecki, Yang Li, Xingbo Zhao, Pieter Maris & James P. Vary

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  1. Paul Wiecki
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  2. Yang Li
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  3. Xingbo Zhao
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  4. Pieter Maris
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  5. James P. Vary
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Correspondence to Paul Wiecki.

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Presented at LightCone 2014, Raleigh, North Carolina.

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Wiecki, P., Li, Y., Zhao, X. et al. Non-perturbative Calculation of the Positronium Mass Spectrum in Basis Light-Front Quantization. Few-Body Syst 56, 489–494 (2015). https://doi.org/10.1007/s00601-015-0962-3

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  • DOI: https://doi.org/10.1007/s00601-015-0962-3

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