Döring, Michael ; Hammer, Hans-Werner ; Mai, Maxim ; Pang, J.-Y. ; Rusetsky, Akaki ; Wu, J. (2022):
Three-body spectrum in a finite volume: The role of cubic symmetry. (Publisher's Version)
In: Physical Review D, 97 (11), American Physical Society, ISSN 2470-0010, e-ISSN 2470-0029,
DOI: 10.26083/tuprints-00012800,
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| Item Type: | Article |
|---|---|
| Origin: | Secondary publication |
| Status: | Publisher's Version |
| Title: | Three-body spectrum in a finite volume: The role of cubic symmetry |
| Language: | English |
| 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 BetheSalpeter 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 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. |
| Journal or Publication Title: | Physical Review D |
| Volume of the journal: | 97 |
| Issue Number: | 11 |
| Place of Publication: | Darmstadt |
| Publisher: | American Physical Society |
| Collation: | 17 Seiten |
| Classification DDC: | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Divisions: | 05 Department of Physics > Institute of Nuclear Physics |
| Date Deposited: | 11 Mar 2022 13:13 |
| Last Modified: | 23 Feb 2023 06:57 |
| DOI: | 10.26083/tuprints-00012800 |
| Corresponding Links: | |
| URN: | urn:nbn:de:tuda-tuprints-128003 |
| Additional Information: | Supplements: https://journals.aps.org/prd/supplemental/10.1103/PhysRevD.97.114508/Read_basis_functions.nb https://journals.aps.org/prd/supplemental/10.1103/PhysRevD.97.114508/basisfunctions.wl |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/12800 |
| PPN: | 505222361 |
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