Publications
Publication Information
| Title | Equivalence of three-particle scattering formalisms |
| Authors | Andrew Jackura, Sebastian Dawid, CESAR FERNANDEZ RAMIREZ, Vincent Mathieu, Mikhail Mikhasenko, Alessandro Pilloni, Stephen Sharpe, Adam Szczepaniak |
| JLAB number | JLAB-THY-19-2947 |
| LANL number | arXiv:1905.12007 |
| Other number | DOE/OR/23177-4683 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DE-FG02-87ER40365 PHY-1415459 CONACYT-251817 |
|
Journal Compiled for Physical Review D Volume 100 Page(s) 034508 Refereed | |
| Publication Abstract: | In recent years, different on-shell 3->3 scattering formalisms have been proposed to be applied to both lattice QCD and infinite volume scattering processes. We prove that the formulation in the infinite volume presented by Hansen and Sharpe in Phys. Rev. D92, 114509 (2015) and subsequently Briceno, Hansen, and Sharpe in Phys. Rev. D95, 074510 (2017) can be recovered from the B-matrix representation, derived on the basis of S-matrix unitarity, presented by Mai et al. in Eur. Phys. J. A53, 177 (2017) and Jackura et al. in Eur. Phys. J. C79, 56 (2019). Therefore, both formalisms in the infinite volume are equivalent and the physical content is identical. Additionally, the Faddeev equations are recovered in the non-relativistic limit of both representations. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.100.034508 |
| Accepted Manuscript: | PhysRevD.100.034508.pdf |
| Supporting Documents: | |
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