Publications
Publication Information
| Title | Khuri-Treiman equations for $3\pi$ decays of particles with spin |
| Authors | Miguel Albaladejo, Daniel Winney, Igor Danilkin, CESAR FERNANDEZ RAMIREZ, Vincent Mathieu, Mikhail Mikhasenko, Alessandro Pilloni, Jorge Antonio Silva Castro, Adam Szczepaniak |
| JLAB number | JLAB-THY-19-3066 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4788 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DOE NSF Ministerio de Ciencia, Innovacion y Universidades |
|
Journal Compiled for Physical Review D Volume 101 Page(s) 054018 Refereed | |
| Publication Abstract: | Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of 3-body decays, specially into the $3\pi$ 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, specially 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.101.054018 |
| Accepted Manuscript: | PhysRevD.101.054018.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |