Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model

The mass spectrum of different meson particles is generated using an effective Lagrangian of the extended linear-sigma model (eLSM) for scalar and pseudoscalar meson fields and quark flavors, up, down, strange, and charm. Analytical formulas for the masses of scalar, pseudoscalar, vector, and axialv...

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Main Authors: Azar I. Ahmadov, Azzah A. Alshehri, Abdel Nasser Tawfik
Format: Article
Language:English
Published: MDPI AG 2024-06-01
Series:Particles
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Online Access:https://www.mdpi.com/2571-712X/7/3/31
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author Azar I. Ahmadov
Azzah A. Alshehri
Abdel Nasser Tawfik
author_facet Azar I. Ahmadov
Azzah A. Alshehri
Abdel Nasser Tawfik
author_sort Azar I. Ahmadov
collection DOAJ
description The mass spectrum of different meson particles is generated using an effective Lagrangian of the extended linear-sigma model (eLSM) for scalar and pseudoscalar meson fields and quark flavors, up, down, strange, and charm. Analytical formulas for the masses of scalar, pseudoscalar, vector, and axialvector meson states are derived assuming global chiral symmetry. The various eLSM parameters are analytically deduced and numerically computed. This enables accurate estimations of the masses of sixteen noncharmed and thirteen charmed meson states at vanishing temperature. The comparison of these results to a recent compilation of the particle data group (PDG) allows us to draw the conclusion that the masses of sixteen noncharmed and thirteen charmed meson states calculated in the eLSM are in good agreement with the PDG. This shows that the eLSM, with its configurations and parameters, is an effective theoretical framework for determining the mass spectra of various noncharmed and charmed meson states, particularly at vanishing temperature.
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spelling doaj-art-6f7c2d025fc94e7ebb7047d0e2d5be692025-08-20T01:55:45ZengMDPI AGParticles2571-712X2024-06-017356057510.3390/particles7030031Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma ModelAzar I. Ahmadov0Azzah A. Alshehri1Abdel Nasser Tawfik2Department of Theoretical Physics, Baku State University, Z. Khalilov St. 23, Baku AZ1148, AzerbaijanFaculty of Science, University of Hafr Al Batin, Al Jamiah Street, Hafr Al Batin 39524, Saudi ArabiaFaculty of Engineering, Future University in Egypt (FUE), Fifth Settlement, New Cairo 11835, EgyptThe mass spectrum of different meson particles is generated using an effective Lagrangian of the extended linear-sigma model (eLSM) for scalar and pseudoscalar meson fields and quark flavors, up, down, strange, and charm. Analytical formulas for the masses of scalar, pseudoscalar, vector, and axialvector meson states are derived assuming global chiral symmetry. The various eLSM parameters are analytically deduced and numerically computed. This enables accurate estimations of the masses of sixteen noncharmed and thirteen charmed meson states at vanishing temperature. The comparison of these results to a recent compilation of the particle data group (PDG) allows us to draw the conclusion that the masses of sixteen noncharmed and thirteen charmed meson states calculated in the eLSM are in good agreement with the PDG. This shows that the eLSM, with its configurations and parameters, is an effective theoretical framework for determining the mass spectra of various noncharmed and charmed meson states, particularly at vanishing temperature.https://www.mdpi.com/2571-712X/7/3/31Chiral Lagrangiansigma modelcharmed mesons
spellingShingle Azar I. Ahmadov
Azzah A. Alshehri
Abdel Nasser Tawfik
Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
Particles
Chiral Lagrangian
sigma model
charmed mesons
title Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
title_full Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
title_fullStr Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
title_full_unstemmed Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
title_short Mass Spectrum of Noncharmed and Charmed Meson States in Extended Linear-Sigma Model
title_sort mass spectrum of noncharmed and charmed meson states in extended linear sigma model
topic Chiral Lagrangian
sigma model
charmed mesons
url https://www.mdpi.com/2571-712X/7/3/31
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