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On kinematical constraints in boson-boson systems

Authors: M. F. M. Lutz and I. VidaƱa

Ref.: European Physical Journal A 48, 124 (2012)

Abstract: We consider the scattering of two bosons with negative parity and spin 0 or 1. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to satisfy partial-wave dispersion relations and therefore provide a suitable basis for data analysis and the construction of effective field theories. Our derivation relies on a decomposition of the various scattering amplitudes into suitable sets of invariant functions. A novel algebra was developed that permits the efficient computation of such functions in terms of computer algebra codes.

DOI: 10.1140/epja/i2012-12124-4