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Universality of size-energy ratio in four-body systems
Universal relationship of scaled size and scaled energy, which was previously established for two- and three-body systems in their ground state, is examined for four-body systems, using Quantum Monte Carlo simulations. We study in detail the halo region, in which systems are extremely weakly bound....
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6472412/ https://www.ncbi.nlm.nih.gov/pubmed/31000736 http://dx.doi.org/10.1038/s41598-019-42312-9 |
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author | Stipanović, Petar Vranješ Markić, Leandra Gudyma, Andrii Boronat, Jordi |
author_facet | Stipanović, Petar Vranješ Markić, Leandra Gudyma, Andrii Boronat, Jordi |
author_sort | Stipanović, Petar |
collection | PubMed |
description | Universal relationship of scaled size and scaled energy, which was previously established for two- and three-body systems in their ground state, is examined for four-body systems, using Quantum Monte Carlo simulations. We study in detail the halo region, in which systems are extremely weakly bound. Strengthening the interparticle interaction we extend the exploration all the way to classical systems. Universal size-energy law is found for homogeneous tetramers in the case of interaction potentials decaying predominantly as r(−6). In the case of mixed tetramers, we also show under which conditions the universal line can approximately describe the size-energy ratio. The universal law can be used to extract ground-state energy from experimentally measurable structural characteristics, as well as for evaluation of theoretical interaction models. |
format | Online Article Text |
id | pubmed-6472412 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-64724122019-04-25 Universality of size-energy ratio in four-body systems Stipanović, Petar Vranješ Markić, Leandra Gudyma, Andrii Boronat, Jordi Sci Rep Article Universal relationship of scaled size and scaled energy, which was previously established for two- and three-body systems in their ground state, is examined for four-body systems, using Quantum Monte Carlo simulations. We study in detail the halo region, in which systems are extremely weakly bound. Strengthening the interparticle interaction we extend the exploration all the way to classical systems. Universal size-energy law is found for homogeneous tetramers in the case of interaction potentials decaying predominantly as r(−6). In the case of mixed tetramers, we also show under which conditions the universal line can approximately describe the size-energy ratio. The universal law can be used to extract ground-state energy from experimentally measurable structural characteristics, as well as for evaluation of theoretical interaction models. Nature Publishing Group UK 2019-04-18 /pmc/articles/PMC6472412/ /pubmed/31000736 http://dx.doi.org/10.1038/s41598-019-42312-9 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Stipanović, Petar Vranješ Markić, Leandra Gudyma, Andrii Boronat, Jordi Universality of size-energy ratio in four-body systems |
title | Universality of size-energy ratio in four-body systems |
title_full | Universality of size-energy ratio in four-body systems |
title_fullStr | Universality of size-energy ratio in four-body systems |
title_full_unstemmed | Universality of size-energy ratio in four-body systems |
title_short | Universality of size-energy ratio in four-body systems |
title_sort | universality of size-energy ratio in four-body systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6472412/ https://www.ncbi.nlm.nih.gov/pubmed/31000736 http://dx.doi.org/10.1038/s41598-019-42312-9 |
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