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 · Fri Mar 13 00:00:00 EDT 2020 · Physical Review. D.

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

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

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; 054018

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal 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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