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Relativistic Corrections in a Three-Boson System of Equal Masses

Ph. Droz-Vincent
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Abstract

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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Ph. Droz-Vincent. 2006-03-06. Relativistic Corrections in a Three-Boson System of Equal Masses. https://doi.org/10.1103/physreva.73.042101

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