Publications
Publication Information
| Title | Three-particle systems with resonant subprocesses in a finite volume |
| Authors | Raul Briceno, Stephen Sharpe, Maxwell Hansen |
| JLAB number | JLAB-THY-18-2819 |
| LANL number | arXiv:1810.01429 |
| Other number | DOE/OR/23177-4553 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 99 Issue 01 Page(s) 4516 Refereed | |
| Publication Abstract: | Previous work has developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that the two-particle K matrices, which enter in sub-processes, do not have poles [1-3]. Here we lift this restriction, determining the quantization condition for identical scalar particles with a G-parity symmetry in the case that the two-particle K matrix has a pole in the kinematic regime of interest. This quantization condition involves unphysical infinite-volume scattering quantities, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes a_2 -> |rho||pi| -> |pi||pi||pi|, in which the |rho| is rigorously treated as a resonance state. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.99.014516 |
| Accepted Manuscript: | PhysRevD.99.014516.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |