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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Format: | Article |
Language: | English |
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EDP Sciences
2022-01-01
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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. |
first_indexed | 2024-04-12T07:17:16Z |
format | Article |
id | doaj.art-7c236188114f4cdb8a60306980523a53 |
institution | Directory Open Access Journal |
issn | 2100-014X |
language | English |
last_indexed | 2024-04-12T07:17:16Z |
publishDate | 2022-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | EPJ Web of Conferences |
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 |