Publications
Publication Information
| Title | Numerical study of the relativistic three-body quantization condition in the isotropic approximation |
| Authors | Raul Briceno, Maxwell Hansen, Stephen Sharpe |
| JLAB number | JLAB-THY-18-2657 |
| LANL number | arXiv:1803.04169 |
| Other number | DOE/OR/23177-4359 |
| 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 98 Issue 01 Page(s) 014506 Refereed | |
| Publication Abstract: | We present numerical results showing how our recently proposed relativistic three-particle quan- tization condition can be used in practice. Using the isotropic (generalized s-wave) approximation, and keeping only the leading terms in the effective range expansion, we show how the quantization condition can be solved numerically in a straightforward manner. In addition, we show how the inte- gral equations that relate the intermediate three-particle infinite-volume scattering quantity, Kdf,3, to the physical scattering amplitude can be solved at and below threshold. We test our methods by reproducing known analytic results for the 1/L expansion of the threshold state, the volume de- pendence of three-particle bound-state energies, and the Bethe-Salpeter amplitudes for these bound states. We also find that certain values of Kdf,3 lead to unphysical finite-volume energies, and give a preliminary analysis of these artifacts. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.98.014506 |
| Accepted Manuscript: | PhysRevD.98014506.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |