Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems

Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems

Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal...

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Main Authors: Angelo Plastino, Gustavo Luis Ferri, Angel Ricardo Plastino
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Quantum Reports
Subjects:
statistical complexity
exactly solvable models
even-odd effects
Online Access:https://www.mdpi.com/2624-960X/3/1/10
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spelling doaj-c85115000a814e92a3862d6673ffd42c2021-02-17T00:00:36ZengMDPI AGQuantum Reports2624-960X2021-02-0131016617210.3390/quantum3010010Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions SystemsAngelo Plastino0Gustavo Luis Ferri1Angel Ricardo Plastino2Instituto de Física La Plata–CCT-CONICET, Universidad Nacional de La Plata, C.C. 727, La Plata 1900, ArgentinaDepartamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Santa Rosa, La Pampa 6300, ArgentinaCeBio y Departamento de Ciencias Basicas, Universidad Nacional del Noroeste de la Prov. de Buenos Aires, UNNOBA, CONICET, Roque Saenz Pena 456, Junin 6000, ArgentinaOdd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.https://www.mdpi.com/2624-960X/3/1/10statistical complexityexactly solvable modelseven-odd effects
collection DOAJ
language English
format Article
sources DOAJ
author Angelo Plastino
Gustavo Luis Ferri
Angel Ricardo Plastino
spellingShingle Angelo Plastino
Gustavo Luis Ferri
Angel Ricardo Plastino
Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
Quantum Reports
statistical complexity
exactly solvable models
even-odd effects
author_facet Angelo Plastino
Gustavo Luis Ferri
Angel Ricardo Plastino
author_sort Angelo Plastino
title Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
title_short Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
title_full Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
title_fullStr Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
title_full_unstemmed Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems
title_sort spectral explanation for statistical odd-even staggering in few fermions systems
publisher MDPI AG
series Quantum Reports
issn 2624-960X
publishDate 2021-02-01
description Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.
topic statistical complexity
exactly solvable models
even-odd effects
url https://www.mdpi.com/2624-960X/3/1/10
work_keys_str_mv AT angeloplastino spectralexplanationforstatisticaloddevenstaggeringinfewfermionssystems
AT gustavoluisferri spectralexplanationforstatisticaloddevenstaggeringinfewfermionssystems
AT angelricardoplastino spectralexplanationforstatisticaloddevenstaggeringinfewfermionssystems
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