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Abstract
We discuss the differences between several partial-wave analysis formalisms used in the construction of three-body decay amplitudes involving fermions. Specifically, we consider the decay \[\Lambda _b \rightarrow \psi \,p K^-\], where the hidden charm pentaquark signal has been reported. We analyze the analytical properties of the amplitudes and separate kinematical and dynamical singularities. The result is an amplitude with the minimal energy dependence compatible with the S-matrix principles.
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1 Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, USA
2 Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, USA; Department of Physics and Astronomy, Ghent University, Ghent, Belgium; Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, USA; Physics Department, Indiana University, Bloomington, IN, USA
3 Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, Bonn, Germany
4 Departamento de Física, Universidad de Murcia, Murcia, Spain
5 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, Mexico
6 Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, USA; Physics Department, Indiana University, Bloomington, IN, USA
7 Syracuse University, Syracuse, NY, USA
8 Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, USA; Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, USA; Physics Department, Indiana University, Bloomington, IN, USA