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
Artikel, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Döring, Michael ; Hammer, Hans-Werner ; Mai, Maxim ; Pang, J.-Y. ; Rusetsky, Akaki ; Wu, J. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Three-body spectrum in a finite volume: The role of cubic symmetry |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Publikationsdatum der Erstveröffentlichung: | 2018 |
| Verlag: | American Physical Society |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physical Review D |
| Jahrgang/Volume einer Zeitschrift: | 97 |
| (Heft-)Nummer: | 11 |
| Kollation: | 17 Seiten |
| DOI: | 10.26083/tuprints-00012800 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/12800 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung |
| Kurzbeschreibung (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. |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-128003 |
| Zusätzliche Informationen: | 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 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Kernphysik |
| Hinterlegungsdatum: | 11 Mär 2022 13:13 |
| Letzte Änderung: | 14 Mär 2022 08:29 |
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| Zugehörige Links: | |
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