TU Darmstadt / ULB / TUprints

Three-body spectrum in a finite volume: The role of cubic symmetry

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.
In: Physical Review D, 2018, 97 (11)
doi: 10.26083/tuprints-00012800
Article, Secondary publication, Publisher's Version

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

Download (592kB) | Preview
Item Type: Article
Type of entry: Secondary publication
Title: Three-body spectrum in a finite volume: The role of cubic symmetry
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2018
Publisher: American Physical Society
Journal or Publication Title: Physical Review D
Volume of the journal: 97
Issue Number: 11
Collation: 17 Seiten
DOI: 10.26083/tuprints-00012800
Corresponding Links:
Origin: Secondary publication

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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-128003
Additional Information:




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
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12800
PPN: 505222361
Actions (login required)
View Item View Item