Publications
Publication Information
| Title | Solving relativistic three-body integral equations in the presence of bound states |
| Authors | Andrew Jackura, Raul Briceno, Sebastian Dawid, Md. Habib E Islam, Connor McCarty |
| JLAB number | JLAB-THY-20-3272 |
| LANL number | arXiv:2010.09820 |
| Other number | DOE/OR/23177-5070 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DOE |
|
Journal Compiled for Physical Review D Volume 104 Page(s) 014507 Refereed | |
| Publication Abstract: | We present a systematically improvable method for numerically solving relativistic three-body integral equations for the partial-wave projected amplitudes. The method consists of a discretization procedure in momentum space, which approximates the continuum problem with a matrix equation. It is solved for different matrix sizes, and in the end, an extrapolation is employed to restore the continuum limit. Our technique is tested by solving a three-body problem of scalar particles with an S wave two-body bound state. We discuss two methods of incorporating the pole contribution in the integral equations, both of them leading to agreement with previous results obtained using finite-volume spectra of the same theory. We provide an analytic and numerical estimate of the systematic errors. Although we focus on kinematics below the three-particle threshold, we provide numerical evidence that the methods presented allow for determinations of amplitude above this threshold as well. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.104.014507 |
| Accepted Manuscript: | PhysRevD.104.014507.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |