Extracting observables from lattice data in the three-particle sector

Extracting observables from lattice data in the three-particle sector

The three-particle quantization condition is derived, using the particle-dimer picture in the non-relativistic effective field theory. The procedure for the extraction of various observables in the three-particle sector (the particle-dimer scattering amplitudes, breakup amplitudes, etc.) from the fi...

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Main Authors: Rusetsky Akaki, Hammer Hans-Werner, Pang Jin-Yi
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817511006
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spelling doaj-e121718016c44c5eb3281eebdf41e88f2021-08-02T04:43:12ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011751100610.1051/epjconf/201817511006epjconf_lattice2018_11006Extracting observables from lattice data in the three-particle sectorRusetsky AkakiHammer Hans-WernerPang Jin-YiThe three-particle quantization condition is derived, using the particle-dimer picture in the non-relativistic effective field theory. The procedure for the extraction of various observables in the three-particle sector (the particle-dimer scattering amplitudes, breakup amplitudes, etc.) from the finite-volume lattice spectrum is discussed in detail. As an illustration of the general formalism, the expression for the finite-volume energy shift of the three-body bound-state in the unitary limit is re-derived. The role of the threebody force, which is essential for the renormalization, is highlighted, and the extension of the result beyond the unitary limit is studied. Comparison with other approaches, known in the literature, is carried out.https://doi.org/10.1051/epjconf/201817511006
collection DOAJ
language English
format Article
sources DOAJ
author Rusetsky Akaki
Hammer Hans-Werner
Pang Jin-Yi
spellingShingle Rusetsky Akaki
Hammer Hans-Werner
Pang Jin-Yi
Extracting observables from lattice data in the three-particle sector
EPJ Web of Conferences
author_facet Rusetsky Akaki
Hammer Hans-Werner
Pang Jin-Yi
author_sort Rusetsky Akaki
title Extracting observables from lattice data in the three-particle sector
title_short Extracting observables from lattice data in the three-particle sector
title_full Extracting observables from lattice data in the three-particle sector
title_fullStr Extracting observables from lattice data in the three-particle sector
title_full_unstemmed Extracting observables from lattice data in the three-particle sector
title_sort extracting observables from lattice data in the three-particle sector
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description The three-particle quantization condition is derived, using the particle-dimer picture in the non-relativistic effective field theory. The procedure for the extraction of various observables in the three-particle sector (the particle-dimer scattering amplitudes, breakup amplitudes, etc.) from the finite-volume lattice spectrum is discussed in detail. As an illustration of the general formalism, the expression for the finite-volume energy shift of the three-body bound-state in the unitary limit is re-derived. The role of the threebody force, which is essential for the renormalization, is highlighted, and the extension of the result beyond the unitary limit is studied. Comparison with other approaches, known in the literature, is carried out.
url https://doi.org/10.1051/epjconf/201817511006
work_keys_str_mv AT rusetskyakaki extractingobservablesfromlatticedatainthethreeparticlesector
AT hammerhanswerner extractingobservablesfromlatticedatainthethreeparticlesector
AT pangjinyi extractingobservablesfromlatticedatainthethreeparticlesector
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