Relativistic three-body bound states in scalar QFT: Variational basis-state approach
- Centre for Research in Earth and Space Science, York University, Toronto, Ontario, M3J 1P3 (Canada)
- Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3 (Canada)
- Department of Physics and Astronomy, York University, Toronto, Ontario, M3J 1P3 (Canada)
- University of Ontario Institute of Technology, Department of Science, Oshawa, Ontario, L1H 7K4 Canada (Canada)
We use the Hamiltonian formalism of quantum field theory and the variational basis-state method to derive relativistic three-body wave equations for scalar particles interacting via a massive or massless mediating scalar field (the scalar Yukawa model). A variational trial state comprised of three and five Fock-space states is used to derive coupled wave equations for a relativistic three- (and five-) body system. Approximate variational three-body ground-state solutions of the relativistic equations are obtained for various strengths of coupling, for both massive and massless mediating fields. The results show that the inclusion of virtual pairs has a large effect on the three-body binding energy at strong coupling.
- OSTI ID:
- 21325396
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 8; Other Information: DOI: 10.1103/PhysRevD.80.085006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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