Effective Hamiltonian for bound states in Yukawa theory |
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| Authors: | Axel Weber |
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| Affiliation: | Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, A. Postal 2-82, 58040 Morelia, Michoacán, Mexico |
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| Abstract: | A generalization of the Gell-Mann–Low theorem is applied to lowest nontrivial order to determine an effective Hamiltonian for two-fermion states in relativistic Yukawa theory. The consistency of the corresponding effective Schrödinger equation is thoroughly investigated in various aspects, among others the nonrelativistic and one-body limits, and the small-distance or large-momentum regime of the bound state solutions is discussed in detail. |
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| Keywords: | Relativistic bound state Generalized Gell-Mann&ndash Low theorem Yukawa theory |
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