Two-Body Dirac Equation and Its WFO
High Energy Physics - Phenomenology
2008-02-03 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/9510384,
title = {Two-Body Dirac Equation and Its WFO},
author = {Hitoshi Ito},
journal= {arXiv preprint arXiv:hep-ph/9510384},
year = {2008}
}
Comments
LaTeX, 10 pages