Publications
Publication Information
| Title | Relating the finite-volume spectrum and the two-and-three-particle S-matrix\\ for relativistic systems of identical scalar particles |
| Authors | Raul Briceno, Maxwell Hansen, Stephen Sharpe |
| JLAB number | JLAB-THY-17-2400 |
| LANL number | arXiv:1701.07465 |
| Other number | DOE/OR/23177-4058 |
| 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 Letters Volume 95 Issue 07 Page(s) 074510 Refereed | |
| Publication Abstract: | Working in relativistic quantum field theory, we derive the quantization condition satisfied by coupled two- and three-particle systems of identical scalar particles confined to a cubic spatial volume with periodicity $L$. This gives the relation between the finite-volume spectrum and the infinite-volume $\textbf 2 \to \textbf 2$, $\textbf 2 \to \textbf 3$ and $\textbf 3 \to \textbf 3$ scattering amplitudes for such theories. The result holds for relativistic systems composed of scalar particles with nonzero mass $m$, whose center of mass energy lies below the four-particle threshold, and for which the two-particle K-matrix has no singularities below the three-particle threshold. The quantization condition is exact up to corrections of the order $\mathcal{O}(e^{-mL})$ and holds for any choice of total momenta satisfying the boundary conditions. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.95.074510 |
| Accepted Manuscript: | paper_PRD_April.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |