STI Publications - View Publication Form #15942
| Back to Search Results |
Publication Information
| Title | Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism | ||||
| 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 | ||||
| Author(s) | Raul Briceno, Adam Szczepaniak, Stephen Sharpe, Max Hansen | ||||
| Publication Date | September 2019 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP) | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
|
||||
| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | Physical Review D |
| Refereed | Yes |
| Volume | 100 |
| Issue | |
| Page(s) | 054508 |
Attachments/Datasets/DOI Link
| Document(s) |
jlab3.pdf
(STI Document)
PhysRevD.100.054508.pdf
(Accepted Manuscript)
|
| DOI Link | |
| Dataset(s) | (none) |
| Back to Search Results |