Study of Baryon Spectroscopy Using a New Potential Form

In the present work, the nonrelativistic quark model is applied to study baryon systems, where the constituent quarks are bound by a suitable hyper central potential. We proposed a new phenomenological form of the interaction potential, digamma-type potential. Using the Jacobi coordinates, the three...

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Main Author: L. I. Abou-Salem
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/196484
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author L. I. Abou-Salem
author_facet L. I. Abou-Salem
author_sort L. I. Abou-Salem
collection DOAJ
description In the present work, the nonrelativistic quark model is applied to study baryon systems, where the constituent quarks are bound by a suitable hyper central potential. We proposed a new phenomenological form of the interaction potential, digamma-type potential. Using the Jacobi coordinates, the three-body wave equation is solved numerically to calculate the resonance states of the N, Δ, Λ, and Σ baryon systems. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornell potential results. The description of the spectrum shows that the ground states of the considered light and strange baryon spectra are in general well reproduced.
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spelling doaj-art-370a5ce04e594d618b519aa39dce17642025-02-03T05:43:33ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/196484196484Study of Baryon Spectroscopy Using a New Potential FormL. I. Abou-Salem0Physics Department, Faculty of Science, Benha University, Benha, EgyptIn the present work, the nonrelativistic quark model is applied to study baryon systems, where the constituent quarks are bound by a suitable hyper central potential. We proposed a new phenomenological form of the interaction potential, digamma-type potential. Using the Jacobi coordinates, the three-body wave equation is solved numerically to calculate the resonance states of the N, Δ, Λ, and Σ baryon systems. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornell potential results. The description of the spectrum shows that the ground states of the considered light and strange baryon spectra are in general well reproduced.http://dx.doi.org/10.1155/2014/196484
spellingShingle L. I. Abou-Salem
Study of Baryon Spectroscopy Using a New Potential Form
Advances in High Energy Physics
title Study of Baryon Spectroscopy Using a New Potential Form
title_full Study of Baryon Spectroscopy Using a New Potential Form
title_fullStr Study of Baryon Spectroscopy Using a New Potential Form
title_full_unstemmed Study of Baryon Spectroscopy Using a New Potential Form
title_short Study of Baryon Spectroscopy Using a New Potential Form
title_sort study of baryon spectroscopy using a new potential form
url http://dx.doi.org/10.1155/2014/196484
work_keys_str_mv AT liabousalem studyofbaryonspectroscopyusinganewpotentialform