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Relativistic Bound-state Equations for Two-fermion Systems by Agafonov, A. I.; Manykin, E. A. is a scholarly article available to read on EtoBox.

What is Relativistic Bound-state Equations for Two-fermion Systems about?

We point out that the free single-fermion propagator which is used in the QFT equations for two-fermion systems, has a bosonic structure, transforms to the single-boson propagator for the Klein-Gordon equation in the nonrelativistic limit, and, therefore, does not satisfy the Lehmann spectral representation for fermions. Proceeding from the Lippmann-Schwinger integral equation, we obtain a two-fermion relativistic wave equation in which the free two-fermion equal-time propagator satisfying the Lehmann representation, is used. This wave equation has been applied to the electron-positron system. In addition to the eigenstates for positronium, we find a solution which describes a deep bound state with the binding energy $\simeq 2m$ and anomalously small mass of the bound system.

Author

Agafonov, A. I.; Manykin, E. A.

Published

1999

Language

EN