Publications
Publication Information
| Title | Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism |
| Authors | Raul Briceno, Adam Szczepaniak, Stephen Sharpe, Max Hansen |
| JLAB number | JLAB-THY-19-2945 |
| LANL number | arXiv:1905.11188 |
| Other number | DOE/OR/23177-4684 |
| 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 100 Page(s) 054508 Refereed | |
| Publication Abstract: | In Ref.~\cite{\HSQCb}, two of us derived a relation between the scattering amplitude of three identical bosons, $\mathcal M_3$, and a real function referred to as the {divergence-free} K matrix and denoted $\Kdf$. The result arose in the context of a relation between finite-volume energies and $\Kdf$, derived to all orders in the perturbative expansion of a generic low-energy effective field theory. In this work we set aside the role of the finite volume and focus on the relation between $\Kdf$ and $\mathcal M_3$. We show that, for any real choice of $\Kdf$, $\mathcal M_3$ satisfies the three-particle unitarity constraint to all orders. Given that $\Kdf$ is also free of a class of kinematic divergences, the function may provide a useful tool for parametrizing three-body scattering data. Applications include the phenomenological analysis of experimental data (where the connection to the finite volume is irrelevant) as well as calculations in lattice quantum chromodynamics (where the volume plays a key role). |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.100.054508 |
| Accepted Manuscript: | PhysRevD.100.054508.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |