Two-Body Dirac Equation and Its WFO

Details Two-Body Dirac Equation and Its WFO Two-Body Dirac Equation and Its WFO

1995-10-24

arxiv.org/abs/hep-ph/9510384v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 10 pages

Scientific paper

A relativistic equation is proposed for the bound state of two particles, which is in accord with the boundary condition for the propagation of the negative-energy states and reduces to the (one-body)Dirac equation in the infinite limit of one of the constituent mass. It also has the symmetries to assure the existence of the anti-bound-state with the same mass. The interaction kernel(pseudo-potential) is systematically constructed by diagonalizing the Hamiltonian of the background field theory, by which the retardation effects are included in the interaction. Its wave function at the origin(WFO) behaves properly in a manner sugested by the covariant field theory.

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