Spectrum of few-body systems in a finite volume

Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses could bridge the gap between nuclear physics and its fundamental theory. Such calculations are performed on a finite grid, and thus extrapolation of finite-volume numerical results to the physical-relevant...

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Main Authors: Bazak Betzalel, Schäfer Martin, Yaron Roee, Barnea Nir
Format: Article
Language:English
Published: EDP Sciences 2022-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_01011.pdf
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author Bazak Betzalel
Schäfer Martin
Yaron Roee
Barnea Nir
author_facet Bazak Betzalel
Schäfer Martin
Yaron Roee
Barnea Nir
author_sort Bazak Betzalel
collection DOAJ
description Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses could bridge the gap between nuclear physics and its fundamental theory. Such calculations are performed on a finite grid, and thus extrapolation of finite-volume numerical results to the physical-relevant free-space quantities is needed. A common approach for the extrapolation utilizes the two-body Lüscher formula and its generalization to larger systems. To understand better the accuracy of this approach we study here two model systems, bosonic and fermionic. The few-body systems are solved with the stochastic variational method in a periodic box, and the extrapolated values are compared to those calculated directly in free space.
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spelling doaj.art-7c236188114f4cdb8a60306980523a532022-12-22T03:42:25ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012710101110.1051/epjconf/202227101011epjconf_hyp2022_01011Spectrum of few-body systems in a finite volumeBazak Betzalel0Schäfer Martin1Yaron Roee2Barnea Nir3The Racah Institute of Physics, The Hebrew UniversityThe Racah Institute of Physics, The Hebrew UniversityThe Racah Institute of Physics, The Hebrew UniversityThe Racah Institute of Physics, The Hebrew UniversityLattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses could bridge the gap between nuclear physics and its fundamental theory. Such calculations are performed on a finite grid, and thus extrapolation of finite-volume numerical results to the physical-relevant free-space quantities is needed. A common approach for the extrapolation utilizes the two-body Lüscher formula and its generalization to larger systems. To understand better the accuracy of this approach we study here two model systems, bosonic and fermionic. The few-body systems are solved with the stochastic variational method in a periodic box, and the extrapolated values are compared to those calculated directly in free space.https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_01011.pdf
spellingShingle Bazak Betzalel
Schäfer Martin
Yaron Roee
Barnea Nir
Spectrum of few-body systems in a finite volume
EPJ Web of Conferences
title Spectrum of few-body systems in a finite volume
title_full Spectrum of few-body systems in a finite volume
title_fullStr Spectrum of few-body systems in a finite volume
title_full_unstemmed Spectrum of few-body systems in a finite volume
title_short Spectrum of few-body systems in a finite volume
title_sort spectrum of few body systems in a finite volume
url https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_01011.pdf
work_keys_str_mv AT bazakbetzalel spectrumoffewbodysystemsinafinitevolume
AT schafermartin spectrumoffewbodysystemsinafinitevolume
AT yaronroee spectrumoffewbodysystemsinafinitevolume
AT barneanir spectrumoffewbodysystemsinafinitevolume