Three-body forces in Bethe-Salpeter and light-front equations

Physics – High Energy Physics – High Energy Physics - Phenomenology

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7 pages, 6 figures. Contribution to the proceedings of the Workshop: Light-Cone 2008, "Relativistic Nuclear and Particle Physi

Scientific paper

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body systems, the three-body binding energies obtained in these two approaches differ significantly from each other: the ladder kernel in light-front dynamics underbinds by approximately a factor of two compared to the ladder Bethe-Salpeter equation. By taking into account three-body forces in the light-front approach, generated by two exchange particles in flight, we find that most of this difference disappears; for small exchange masses, the obtained binding energies coincide with each other.

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