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

Albaladejo, M.; Winney, D.; Danilkin, I. V.; Fernández-Ramírez, C.; Mathieu, V.; Mikhasenko, M.; Pilloni, A.; Silva-Castro, J. A.; Szczepaniak, A. P.

doi:10.1103/PhysRevD.101.054018

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

Journal Article · 13 March 2020 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.101.054018 · OSTI ID:1604504

Albaladejo, M. ^[1]; Winney, D. ^[2]; Danilkin, I. V. ^[3]; Fernández-Ramírez, C. ^[4]; Mathieu, V. ^[5]; Mikhasenko, M. ^[6]; Pilloni, A. ^[7]; Silva-Castro, J. A. ^[4]; Szczepaniak, A. P. ^[8]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Indiana Univ., Bloomington, IN (United States)
Johannes Gutenberg Univ., Mainz (Germany)
Univ. Nacional Autónoma de Mexico, Ciudad de Mexico (Mexico)
Univ. Complutense de Madrid (Spain)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)
European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Genova (Italy)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)

Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3$$π$$ 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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); Ministerio de Ciencia, Innovación y Universidades (Spain); National Autonomous University of Mexico (UNAM); Consejo Nacional de Ciencia y Tecnología (CONACYT); German Research Foundation (DFG); German Excellence Strategy; Comunidad Autónoma de Madrid

Contributing Organization:: JPAC Collaboration

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

OSTI ID:: 1604504

Alternate ID(s):: OSTI ID: 1604951

Report Number(s):: JLAB-THY-19-3066; DOE/OR/23177-4788; PRVDAQ; TRN: US2104355

Journal Information:: Physical Review D, Vol. 101, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 9 works

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