A Composite System in Motion in Positron-Theoretical Treatment : Particles and Fields

概要

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Starting from a model of relativistic composite system in the single-electron-theoretical treatment presented by Glockle, Nogami and Fukui, we intend to present a composite system in motion in the positron-theoretical treatment. Our study is made by using a manifestly covariant way of the Bethe-Salpeter equation, taking the Fermi-type interaction. Although a divergence appears in the eigenvalue equation, it is found to be dealt with in an invariant manner. In other words, it is taken away by reinterpreting the coupling constant, that is, a kind of renormalization of the coupling constant. We obtain a particle-particle bound-state solution in one of the two cases of the effective coupling constant of the vector-type interaction and a particle-anti-particle bound-state solution in the other case. And the obtained solutions are employed in order to calculate the form factors in electron-composite state scattering, and the prescriptions for relativizing form factors from static models for particle-particle and particle-anti-particle composite states are presented after eliminating influences from the assumed form of interaction. By using these prescriptions, one can take into account the effects due to the Lorentz contraction.
理論物理学刊行会の論文
1993-04-25