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arXiv · 0811.1100

Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations

V. A. Karmanov·P. Maris
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Abstract

Bethe-Salpeter and light-front bound state equations for three scalar particles interacting by scalar exchange-bosons are solved in ladder truncation. 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-bosons 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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V. A. Karmanov, P. Maris. 2008-11-07. Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations. https://doi.org/10.1007/s00601-009-0054-3

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