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arxiv: nucl-th/0107042 · v2 · submitted 2001-07-13 · ⚛️ nucl-th

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

classification ⚛️ nucl-th
keywords approximateboostframefunctionsinstantproblemsolutiontwo-body
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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 Poincar\'{e} algebra except for the commutator between two components of ${\bf K}$, for which it provids an approximate solution.

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