Effect of virtual pairs for relativistic bound-state problems
- Centre for Research in Earth Space Science, York University, Toronto, Ontario M3J 1P3 (Canada)
- University of Ontario, Institute of Technology, Department of Science, Oshawa, Ontario, L1H 7K4 (Canada)
We use the variational method within the Hamiltonian formalism of quantum field theory to derive relativistic two-, (four)-, and (six)-body wave equations for scalar particles interacting via a massive or massless mediating scalar field (the scalar Yukawa model). Fock-space variational trial states [2+(4)+(6)] are used to derive the relativistic two-body system. The equations are shown to have the Schroedinger nonrelativistic limit, with Coulombic interparticle potentials in the case of a massless mediating field and Yukawa interparticle potentials in the case of a massive mediating field. The results show that the inclusion of virtual pairs has a large effect for the binding energy of the system at strong coupling. In the case of the discovery of a scalar Higgs particle in upcoming experiments, we may apply the present results to real, physical systems.
- OSTI ID:
- 21027630
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevD.76.045006; (c) 2007 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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