A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS

We assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the Dirac matrices. Then by making use of a suitable ansatz, the Dirac equation has a very simple...

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Format: Article
Language:English
Published: University of Tehran 1998-03-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31367_37d03fcb69fa1a2c213458bab0cdfa96.pdf
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description We assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the Dirac matrices. Then by making use of a suitable ansatz, the Dirac equation has a very simple solution which is exact. We then have calculated the static properties of the nucleon in the ground state with and without center of mass correction. The results are encouraging. PACS index 12.35 kW and 13.40 fn
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institution OA Journals
issn 1016-1104
2345-6914
language English
publishDate 1998-03-01
publisher University of Tehran
record_format Article
series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-b0d3c962cb554e619f10857e3e87e6222025-08-20T01:53:31ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141998-03-019131367A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKSWe assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the Dirac matrices. Then by making use of a suitable ansatz, the Dirac equation has a very simple solution which is exact. We then have calculated the static properties of the nucleon in the ground state with and without center of mass correction. The results are encouraging. PACS index 12.35 kW and 13.40 fnhttps://jsciences.ut.ac.ir/article_31367_37d03fcb69fa1a2c213458bab0cdfa96.pdf
spellingShingle A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
Journal of Sciences, Islamic Republic of Iran
title A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
title_full A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
title_fullStr A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
title_full_unstemmed A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
title_short A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS
title_sort quartic potential for the nucleonic quarks
url https://jsciences.ut.ac.ir/article_31367_37d03fcb69fa1a2c213458bab0cdfa96.pdf