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

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

2001-07-13

arxiv.org/abs/nucl-th/0107042v2

Phys.Rev.Lett.87:180401,2001

Physics

Nuclear Physics

Nuclear Theory

4 pages Manuscript revised to to respond to referee comments

Scientific paper

10.1103/PhysRevLett.87.180401

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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