Effect of virtual pairs for relativistic bound-state problems

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.045006· OSTI ID:21027630

Emami-Razavi, Mohsen ^[1]; Kowalski, Marian ^[2]

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1. Centre for Research in Earth Space Science, York University, Toronto, Ontario M3J 1P3 (Canada)
2. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BINDING ENERGY
BOUND STATE
HAMILTONIANS
HIGGS BOSONS
POTENTIALS
RELATIVISTIC RANGE
SCALAR FIELDS
SCALARS
STRONG-COUPLING MODEL
TWO-BODY PROBLEM
VARIATIONAL METHODS
WAVE EQUATIONS