https://doi.org/10.1140/epja/i2012-12124-4
Special Article - Tools for Experiment and Theory
On kinematical constraints in boson-boson systems
1
GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planck Str. 1, 64291, Darmstadt, Germany
2
Centro de Física Computacional. Department of Physics, University of Coimbra, PT-3004-516, Coimbra, Portugal
* e-mail: m.lutz@gsi.de
Received:
26
July
2012
Accepted:
14
August
2012
Published online:
21
September
2012
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2012
