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arXiv · hep-th/0405272

Two fermion relativistic bound states

R. Giachetti·E. Sorace
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Abstract

We consider the relativistic quantum mechanics of a two interacting fermions system. We first present a covariant formulation of the kinematics of the problem and give a short outline of the classical results. We then quantize the system with a general interaction potential and deduce the explicit equations in a spherical basis. The case of the Coulomb interaction is studied in detail by numerical methods, solving the eigenvalue problem for J=0, J=1, J=2 and determining the spectral curves for a varying ratio of the mass of the interacting particles. Details of the computations, together with a perturbative approach in the mass ratio and an extended description of the ground states of the Para- and Orthopositronium are given in Appendix.

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R. Giachetti, E. Sorace. 2005-01-31. Two fermion relativistic bound states. https://doi.org/10.1088/0305-4470%2F38%2F6%2F012

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