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Title: What is the right formalism to search for resonances?

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 B ψ π K and B D ¯ π π 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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [2] ;  [6] ;  [7] ;  [8]
  1. Univ. of Bonn (Germany)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Ghent Univ. (Belgium); Indiana Univ., Bloomington, IN (United States)
  4. Univ. of Murcia (Spain)
  5. National Autonomous Univ. of Mexico, Mexico City (Mexico)
  6. Indiana Univ., Bloomington, IN (United States)
  7. Syracuse Univ., NY (United States)
  8. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)
Publication Date:
Report Number(s):
JLAB-THY-17-2606; DOE/OR/23177-4279; arXiv:1712.02815
Journal ID: ISSN 1434-6044; PII: 5670
Grant/Contract Number:
AC05-06OR23177; FG02-87ER40365; PHY-1507572; PHY-1205019; PHY-1415459; IA101717; 251817; FPA2016-77313-P
Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 3; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States); Univ. of Bonn (Germany); National Autonomous Univ. of Mexico, Mexico City (Mexico); Ghent Univ. (Belgium); Univ. of Murcia (Spain)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF); German Federal Ministry of Education and Research (BMBF); National Autonomous Univ. of Mexico; National Council of Science and Technology (CONACYT) (Mexico); Research Foundation - Flanders (FWO) (Belgium); Ministry of Economy and Competitiveness (MINECO) (Spain)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1426823
Alternate Identifier(s):
OSTI ID: 1432445