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

Abstract

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:
; ; ; ; ; ; ; ; ; ;
Publication Date:
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)
OSTI Identifier:
1426823
Alternate Identifier(s):
OSTI ID: 1432445
Report Number(s):
JLAB-THY-17-2606; DOE/OR/23177-4279; arXiv:1712.02815
Journal ID: ISSN 1434-6044; 229; PII: 5670
Grant/Contract Number:  
AC05-06OR23177; FG02-87ER40365; PHY-1507572; PHY-1205019; PHY-1415459; IA101717; 251817; FPA2016-77313-P
Resource Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 78 Journal Issue: 3; Journal ID: ISSN 1434-6044
Publisher:
Springer Science + Business Media
Country of Publication:
Germany
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Joint Physics Analysis Center, Mikhasenko, M., Pilloni, A., Nys, J., Albaladejo, M., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Sherrill, N., Skwarnicki, T., and Szczepaniak, A. P. What is the right formalism to search for resonances?. Germany: N. p., 2018. Web. doi:10.1140/epjc/s10052-018-5670-y.
Joint Physics Analysis Center, Mikhasenko, M., Pilloni, A., Nys, J., Albaladejo, M., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Sherrill, N., Skwarnicki, T., & Szczepaniak, A. P. What is the right formalism to search for resonances?. Germany. doi:10.1140/epjc/s10052-018-5670-y.
Joint Physics Analysis Center, Mikhasenko, M., Pilloni, A., Nys, J., Albaladejo, M., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Sherrill, N., Skwarnicki, T., and Szczepaniak, A. P. Sat . "What is the right formalism to search for resonances?". Germany. doi:10.1140/epjc/s10052-018-5670-y.
@article{osti_1426823,
title = {What is the right formalism to search for resonances?},
author = {Joint Physics Analysis Center and Mikhasenko, M. and Pilloni, A. and Nys, J. and Albaladejo, M. and Fernández-Ramírez, C. and Jackura, A. and Mathieu, V. and Sherrill, N. and Skwarnicki, T. and Szczepaniak, A. P.},
abstractNote = {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.},
doi = {10.1140/epjc/s10052-018-5670-y},
journal = {European Physical Journal. C, Particles and Fields},
number = 3,
volume = 78,
place = {Germany},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1140/epjc/s10052-018-5670-y

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Cited by: 2 works
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