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



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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. (2020) Khuri-Treiman equations for 3π decays of particles with spin. Physical Review D, 101 (5). ISSN 2470-0010

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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.

Item Type:Article
Subjects:Sciences > Physics > Particles
ID Code:74448
Deposited On:14 Sep 2022 11:48
Last Modified:14 Sep 2022 13:58

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