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.

Details

Title
What is the right formalism to search for resonances? II. The pentaquark chain
Author
Pilloni, A 1   VIAFID ORCID Logo  ; Nys, J 2 ; Mikhasenko, M 3 ; Albaladejo, M 4 ; Fernández-Ramírez, C 5 ; Jackura, A 6 ; Mathieu, V 1 ; Sherrill, N 6 ; Skwarnicki, T 7 ; Szczepaniak, A P 8 

 Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, USA 
 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 
 Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, Bonn, Germany 
 Departamento de Física, Universidad de Murcia, Murcia, Spain 
 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, Mexico 
 Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, USA; Physics Department, Indiana University, Bloomington, IN, USA 
 Syracuse University, Syracuse, NY, USA 
 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 
Pages
1-25
Publication year
2018
Publication date
Sep 2018
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2100970141
Copyright
The European Physical Journal C is a copyright of Springer, (2018). All Rights Reserved., © 2018. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.