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Feshbach-Villars perturbation theory for pionic atom problems

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

Perturbation theory for the Klein-Gordon equation is developed through third order using the Feshbach-Villars formalism. The use of such a rearrangement of the original equation is necessitated by the incorporation of a vector interaction in a second-order wave equation. The effect of nuclear finite size on the energy levels ofS-states is developed through order (Z α)6 as an illustration. Finally, the differences between results for the Klein-Gordon and Dirac equations are discussed, as well as the physical origins of these differences.

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Authors and Affiliations

  1. Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico, USA

    J. L. Friar

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  1. J. L. Friar
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Additional information

This work was performed under the auspices of the U.S. Dept. of Energy. We thank the Mathlab group of the Laboratory for Computer Science (MIT) for the use of MACSYMA.

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Friar, J.L. Feshbach-Villars perturbation theory for pionic atom problems. Z Physik A 297, 147–152 (1980). https://doi.org/10.1007/BF01421471

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  • DOI: https://doi.org/10.1007/BF01421471

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