Approximate boost of the relativistic two-body problem in instant formalism
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 K that is used provides a solution to the Poincar\'e algebra except for the commutator between two components of K, for which it provids an approximate solution.
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