CERN Accelerating science

Article
Report number arXiv:2112.11996 ; CERN-TH-2021-228
Title Analytic expansions of two- and three-particle excited-state energies
Author(s) Grabowska, Dorota Maria (CERN) ; Hansen, Maxwell T. (U. Edinburgh, Higgs Ctr. Theor. Phys.)
Publication 2022-05-16
Imprint 2021-12-22
Number of pages 13
Note 13 pages, 2 figures; talk presented at The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology; CERN-TH-2021-228
In: PoS LATTICE2021 (2022) pp.203
In: 38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.203
DOI 10.22323/1.396.0203
Subject category hep-lat ; Particle Physics - Lattice
Abstract The last years have seen significant developments in methods relating two- and three-particle finite-volume energies to scattering observables. These relations hold for both weakly and strongly interacting systems, and studying their predictions in limiting cases can provide important cross checks as well as giving useful insights into the general formulae. In these proceedings, we present analytic results for finite-volume excited states, recovered by expanding the general relations in powers of the interaction strength. We highlight elegant patterns that emerge, especially for excited three-particle energies, and discuss various applications of the results. The two-particle results summarized here are described in more detail in the full manuscript, and the three-particle results are detailed in a manuscript to appear.
Copyright/License preprint: (License: CC BY 4.0)
publication: © 2022-2025 The author(s) (License: CC-BY-NC-ND-4.0)



Corresponding record in: Inspire


 Rekord stworzony 2022-01-11, ostatnia modyfikacja 2023-12-13


Pełny tekst:
2112.11996 - Pobierz pełny tekstPDF
document - Pobierz pełny tekstPDF