Relativistic Corrections in a Three-Boson System of Equal Masses

Details Relativistic Corrections in a Three-Boson System of Equal Masses Relativistic Corrections in a Three-Boson System of Equal Masses

2005-05-18

arxiv.org/abs/hep-th/0505163v2

Phys.Rev.A73:042101,2006

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figure. Several points clarified, one typo corrected. References added. To appear in Physical Review A

Scientific paper

10.1103/PhysRevA.73.042101

Three-body systems of scalar bosons are described in the framework of relativistic constraint dynamics. With help of a change of variables followed by a change of wave function, two redundant degrees of freedom get eliminated and the mass-shell constraints can be reduced to a three-dimensional eigenvalue problem. In general, this problem is complicated, but for three equal masses a drastic simplification arises at the first post-Galilean order: the reduced wave equation becomes tractable, and we can compute a first-order correction beyond the nonrelativistic limit. The harmonic interaction is displayed as a toy model.

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