Special Article - Tools for Experiment and Theory
What is the right formalism to search for resonances?
Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik, 53115, Bonn, Germany
2 Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, 23606, USA
3 Department of Physics and Astronomy, Universiteit Gent, Gent, Belgium
4 Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, 47403, USA
5 Physics Department, Indiana University, Bloomington, IN, 47405, USA
6 Departamento de Física, Universidad de Murcia, 30071, Murcia, Spain
7 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510, Mexico City, Mexico
8 Syracuse University, Syracuse, NY, 13244, USA
* e-mail: firstname.lastname@example.org
Accepted: 25 February 2018
Published online: 17 March 2018
Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity amplitudes to the covariant tensor basis. Hereby, we pay attention to the analytical properties of the amplitudes and separate singularities of kinematical and dynamical nature. We study the analytical properties of the spin-orbit (LS) formalism, and some of the covariant tensor approaches. In particular, we explicitly build the amplitudes for the and decays, and show that the energy dependence of the covariant approach is model dependent. We also show that the usual recursive construction of covariant tensors explicitly violates crossing symmetry, which would lead to different resonance parameters extracted from scattering and decay processes.
© The Author(s), 2018