Summary
We investigate a perturbation theory for positronium energy levels, based on the Bethe-Salpeter equation. An analytic expression for the sum over intermediate states is obtained. Its application is illustrated by computing a second-order contribution to positronium hyperfine splitting.
Riassunto
Si ricerca una teoria della perturbazione per livelli di energia del positronio basandosi sull'equazione di Bethe e Salpether. Si ottiene un'espressione analitica per la somma di stati intermedi. Si illustra la sua applicazione calcolando un contributo del second'ordine alla separazione iperfina del positronio.
Резюме
На основе уравнения Бете-Солпитера мы исследуем теорию возмущений для уровней энергии позитрония. Получается аналитическое выражение для суммы по всем промежуточным состояниям. Полученное выражение применяется для вычисления вклада второго порядка в сверхтонкое расщепление позитрония.
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References
W. Buchmüller andE. Remiddi:Nucl. Phys. B,162, 250 (1980).
R. Barbieri andE. Remiddi:Nucl. Phys. B,141, 413 (1978).
W. E. Caswell andG. P. Lepage:Phys. Rev. A,18, 810 (1978).
J. Schwinger:J. Math. Phys. (N. Y.),5, 1606 (1964).
This expression was first derived byW. E. Caswell andG. P. Lepage:Phys. Rev. A,18, 810 (1978).
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Supported by the German Academic Exchange Service (Nato Science Fellowship).
Traduzione a cura della Redazione.
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Buchmüller, W., Remiddi, E. Contributions to positronium hyperfine splitting from second-order perturbation theory. Nuov Cim A 60, 109–119 (1980). https://doi.org/10.1007/BF02902439
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DOI: https://doi.org/10.1007/BF02902439