Publications
Publication Information
| Title | Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states |
| Authors | Raul Briceno, Maxwell Hansen, Stephen Sharpe, Tyler Blanton, Fernando Romero-Lo´pez |
| JLAB number | JLAB-THY-19-3011 |
| LANL number | arXiv:1908.02411 |
| Other number | DOE/OR/23177-4759 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Journal of High Energy Physics Volume 1910 Page(s) 7 Refereed | |
| Publication Abstract: | In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two-particle K matrix that required the absence of two-particle bound states or narrow two-particle resonances. In this work, we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K matrix that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two- and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and also for cases where the two-particle subchannel is resonant. We also show how the quantization condition provides a tool for determining infinite-volume dimer-particle scattering amplitudes for energies below the dimer breakup. We illustrate this for a series of examples, including one that parallels physical deuteron-nucleon scattering. All calculations presented here are restricted to the case of three identical scalar particles. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1007/JHEP10(2019)007 |
| Accepted Manuscript: | scoap3-fulltext.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |