Exact spinor-scalar bound states in a QFT with scalar interactions

Details Exact spinor-scalar bound states in a QFT with scalar interactions Exact spinor-scalar bound states in a QFT with scalar interactions

2000-12-21

arxiv.org/abs/nucl-th/0012080v1

Phys.Rev. D64 (2001) 045012

Physics

Nuclear Physics

Nuclear Theory

12 pages, RevTeX, 1 figure

Scientific paper

10.1103/PhysRevD.64.045012

We study two-particle systems in a model quantum field theory, in which scalar particles and spinor particles interact via a mediating scalar field. The Lagrangian of the model is reformulated by using covariant Green's functions to solve for the mediating field in terms of the particle fields. This results in a Hamiltonian in which the mediating-field propagator appears directly in the interaction term. It is shown that exact two-particle eigenstates of the Hamiltonian can be determined. The resulting relativistic fermion-boson equation is shown to have Dirac and Klein-Gordon one-particle limits. Analytic solutions for the bound state energy spectrum are obtained for the case of massless mediating fields.

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