Publications
Publication Information
| Title | Phenomenology of Relativistic 3->3 Reaction Amplitudes within the Isobar Approximation |
| Authors | Andrew Jackura, CESAR FERNANDEZ RAMIREZ, Vincent Mathieu, Mikhail Mikhasenko, Jannes Nys, Alessandro Pilloni, Kevin Saldana, Nathan Sherrill, Adam Szczepaniak |
| JLAB number | JLAB-THY-18-2817 |
| LANL number | arXiv:1809.10523 |
| Other number | DOE/OR/23177-4550 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | PHY-1415459 PHY-1205019 PHY-1757646 |
|
Journal Compiled for European Physical Journal C Volume 79 Issue 1 Page(s) 56 Refereed | |
| Publication Abstract: | Further progress in hadron spectroscopy necessitates the phenomenological description of three particle reactions. We consider the isobar approximation, where the connected part of the 3->3 amplitude is first expressed as a sum over initial and final pairs, and then expanded into a truncated partial wave series. The resulting unitarity equation is automatically fulfilled by the B-matrix solution, i.e. an integral equation for the partial wave amplitude that generalizes the 2->2 K-matrix construction. We study the one particle exchange and how its analytic structure impacts rescattering solutions such as the triangle diagram. The analytic structure is compared to other parameterizations discussed in the literature. We briefly discuss the analogies with recent formalisms for extracting 3->3 scattering amplitudes in lattice QCD. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1140/epjc/s10052-019-6566-1 |
| Accepted Manuscript: | scoap3-fulltext.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |