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Lower bound to the mass of a relativistic three-boson system in the light-cone

J. P. B. C. de Melo·A. E. A. Amorim·Lauro Tomio·T. Frederico
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Abstract

The lower bound masses of the ground-state relativistic three-boson system in 1+1, 2+1 and 3+1 space-time dimensions are obtained. We have considered a reduction of the ladder Bethe-Salpeter equation to the light-front in a model with renormalized two-body contact interaction. The lower bounds are deduced with the constraint of reality of the two-boson subsystem mass. It is verified that, in some cases, the lower bound approaches the ground state binding energy. The corresponding non-relativistic limits are also verified.

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J. P. B. C. de Melo, A. E. A. Amorim, Lauro Tomio, T. Frederico. 2001-02-10. Lower bound to the mass of a relativistic three-boson system in the light-cone. https://doi.org/10.1088/0954-3899%2F27%2F5%2F306

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