Publications
Publication Information
| Title | Three-body spectrum in a finite volume: the role of cubic symmetry |
| Authors | Michael Doring, H. Hammer, Maxim Mai, J.-Y. Pang, A. Rusetsky, J. Wu |
| JLAB number | JLAB-THY-18-2646 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4349 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | NSF/PIF grant No. PHY 1415459 NSF/CAREER grant No. 1452055 DOE grant No. DE-SC001658 |
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Journal Compiled for Physical Review D Volume 97 Page(s) 114508 Refereed | |
| Publication Abstract: | The three-particle quantization condition is partially diagonalized in the center-of-mass frame by using cubic symmetry on the lattice. To this end, instead of spherical harmonics, the kernel of the Bethe-Salpeter equation for particle-dimer scattering is expanded in the basis functions of different irreducible representations of the octahedral group. Such a projection is of particular importance for the three-body problem in the finite volume due to to the occurrence of three-body singularities above breakup. Additionally, we study the numerical solution and properties of such a projected quantization condition in a simple model. It is shown that, for large volumes, these solutions allow for an instructive interpretation of the energy eigenvalues in terms of bound and scattering states. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.97.114508 |
| Accepted Manuscript: | PhysRevD.97.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |