The Role of the Pauli Exclusion Principle in Nuclear Physics Models

The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physi...

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Main Authors: Josué R. M. Berriel-Aguayo, Peter O. Hess
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/5/738
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author Josué R. M. Berriel-Aguayo
Peter O. Hess
author_facet Josué R. M. Berriel-Aguayo
Peter O. Hess
author_sort Josué R. M. Berriel-Aguayo
collection DOAJ
description The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physics, in particular cluster models. Sometimes they tend to ignore the Pauli Exclusion Principle for practical reasons, leading to flawed interpretations. Though at first sight there seems to be an agreement to experiment, often it is due to the limited number of states known experimentally. We discuss several models which include or not the PEP, illustrating through their differences the importance of the PEP. This contribution is also a review of recently published results.
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spelling doaj.art-d44ad6b408a9408cb53af79cdad9cb622023-11-19T23:30:29ZengMDPI AGSymmetry2073-89942020-05-0112573810.3390/sym12050738The Role of the Pauli Exclusion Principle in Nuclear Physics ModelsJosué R. M. Berriel-Aguayo0Peter O. Hess1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico-City 04510, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico-City 04510, MexicoThe Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physics, in particular cluster models. Sometimes they tend to ignore the Pauli Exclusion Principle for practical reasons, leading to flawed interpretations. Though at first sight there seems to be an agreement to experiment, often it is due to the limited number of states known experimentally. We discuss several models which include or not the PEP, illustrating through their differences the importance of the PEP. This contribution is also a review of recently published results.https://www.mdpi.com/2073-8994/12/5/738pauli principlealgebraic cluster modelnuclear collective model
spellingShingle Josué R. M. Berriel-Aguayo
Peter O. Hess
The Role of the Pauli Exclusion Principle in Nuclear Physics Models
Symmetry
pauli principle
algebraic cluster model
nuclear collective model
title The Role of the Pauli Exclusion Principle in Nuclear Physics Models
title_full The Role of the Pauli Exclusion Principle in Nuclear Physics Models
title_fullStr The Role of the Pauli Exclusion Principle in Nuclear Physics Models
title_full_unstemmed The Role of the Pauli Exclusion Principle in Nuclear Physics Models
title_short The Role of the Pauli Exclusion Principle in Nuclear Physics Models
title_sort role of the pauli exclusion principle in nuclear physics models
topic pauli principle
algebraic cluster model
nuclear collective model
url https://www.mdpi.com/2073-8994/12/5/738
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