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Approximate boost of the relativistic two-body problem in instant formalism

S. J. Wallace
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Abstract

Considering two spinless particles, a simple, approximate boost rule is derived that is sufficient to keep the mass invariant and to relate interactions, vertex functions, wave functions and t-matrices of the instant two-body problem in an arbitrary frame to those in the c.m. frame. The boost generator ${\bf K}$ that is used provides a solution to the Poincaré algebra except for the commutator between two components of ${\bf K}$, for which it provids an approximate solution.

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S. J. Wallace. 2001-09-26. Approximate boost of the relativistic two-body problem in instant formalism. https://doi.org/10.1103/physrevlett.87.180401

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