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Title: Khuri-Treiman equations for 3 π decays of particles with spin

Abstract

Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3π final state. In this work we present in full detail the necessary generalization of the formalism to study the decays of particles with arbitrary spin, parity, and charge conjugation. To this extent, we find it most convenient to work with helicity amplitudes instead of the so-called invariant amplitudes, especially when dealing with the unitarity relations. The isobar expansions in the three possible (s-, t-, and u-) final channels are related with the appropriate crossing matrices. We pay special attention to the kinematical singularities and constraints of the helicity amplitudes, showing that these can be derived by means of the crossing matrix.

Authors:
; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Org.:
[JPAC Collaboration]
OSTI Identifier:
1604504
Alternate Identifier(s):
OSTI ID: 1604951
Report Number(s):
[JLAB-THY-19-3066; DOE/OR/23177-4788]
[Journal ID: ISSN 2470-0010; PRVDAQ; 054018]
Grant/Contract Number:  
[AC05-06OR23177; FG02-87ER40365; PHY-1415459; IA101819; 251817; 734789; A1-S-21389; 204404729—SFB 1044; FPA2016-77313-P; FPA2016-75654-C2-2-P; 39083149]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 5]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Albaladejo, M., Winney, D., Danilkin, I. V., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Silva-Castro, J. A., Szczepaniak, A. P., and JPAC Collaboration. Khuri-Treiman equations for 3 π decays of particles with spin. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.054018.
Albaladejo, M., Winney, D., Danilkin, I. V., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Silva-Castro, J. A., Szczepaniak, A. P., & JPAC Collaboration. Khuri-Treiman equations for 3 π decays of particles with spin. United States. doi:10.1103/PhysRevD.101.054018.
Albaladejo, M., Winney, D., Danilkin, I. V., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Silva-Castro, J. A., Szczepaniak, A. P., and JPAC Collaboration. Fri . "Khuri-Treiman equations for 3 π decays of particles with spin". United States. doi:10.1103/PhysRevD.101.054018.
@article{osti_1604504,
title = {Khuri-Treiman equations for 3 π decays of particles with spin},
author = {Albaladejo, M. and Winney, D. and Danilkin, I. V. and Fernández-Ramírez, C. and Mathieu, V. and Mikhasenko, M. and Pilloni, A. and Silva-Castro, J. A. and Szczepaniak, A. P. and JPAC Collaboration},
abstractNote = {Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3π final state. In this work we present in full detail the necessary generalization of the formalism to study the decays of particles with arbitrary spin, parity, and charge conjugation. To this extent, we find it most convenient to work with helicity amplitudes instead of the so-called invariant amplitudes, especially when dealing with the unitarity relations. The isobar expansions in the three possible (s-, t-, and u-) final channels are related with the appropriate crossing matrices. We pay special attention to the kinematical singularities and constraints of the helicity amplitudes, showing that these can be derived by means of the crossing matrix.},
doi = {10.1103/PhysRevD.101.054018},
journal = {Physical Review D},
number = [5],
volume = [101],
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.101.054018

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