On kinematical constraints in fermion-antifermion systems

Abstract

We consider the scattering of fermions off antifermions with spin 1/2 and 3/2. 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.

12 pages, 3 tables

References in corpus (2)

• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Covariant Helicity-Coupling Amplitudes: A New Formulation

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