Abstract
Barut showed us how it is possible to get a Poincaré invariant n-body equation with a single time. Starting from the Barut equation for n-free particles, we show how to generalize it when they interact through Dirac oscillators with different frequencies. We then particularize the problem to n=2 and consider the particle-antiparticle system whose frequencies are respectively ω and −ω. We indicate how the resulting equation can be solved by perturbation theory, though the spectrum and its comparison with that of the mesons will be given in another publication.
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References
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Member of El Colegio Nacional and El Sistema Nacional de Investigadores.
Fellow of El Sistema Nacional de Investigadores (México).
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Moshinsky, M., Loyola, G. Barut equation for the particle-antiparticle system with a Dirac oscillator interaction. Found Phys 23, 197–210 (1993). https://doi.org/10.1007/BF01883624
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DOI: https://doi.org/10.1007/BF01883624