Retardation effects and virtual annihilation interactions in relativistic three-body systems. (English) Zbl 1387.81258
Summary: The Hamiltonian formalism of quantum field theory and the variational methods in a reformulated model have been used to investigate the influence of retardation effects or virtual annihilation interactions in relativistic three-body wave equations for scalar two particles and one antiparticle interacting via a massive or massless mediating scalar field. The results show that the inclusion of virtual annihilation interactions or retardation effects can have noticeable consequence on the three-body binding energy at strong coupling.
MSC:
81T10 | Model quantum field theories |
70F07 | Three-body problems |
70S05 | Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems |
70H40 | Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics |
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