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

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

2001-02-10

arxiv.org/abs/hep-ph/0102129v1

J.Phys.G27:1031-1042,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 ps-figures. To appear in J. of Phys. G

Scientific paper

10.1088/0954-3899/27/5/306

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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