Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model

M. Abu-Shady; A. K. Abu-Nab

doi:doi:10.11648/j.ajpa.20140202.11

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Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model

M. Abu-Shady, A. K. Abu-Nab

Published in American Journal of Physics and Applications (Volume 2, Issue 2)

Received: 30 January 2014 Published: 10 March 2014

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Abstract

Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective potential tends to the original effective potential when the coupling between the higher order mesonic interactions equal to zero. The field equations have been solved in the mean-field approximation by using the extended iteration method. We found that the nucleon mass increases with increasing temperature and the magnetic moments of proton and neutron increase with increasing temperature. A comparison is presented with recent previous works and other models. We conclude that higher-order mesonic interactions play an important role in changing the behavior of nucleon properties at finite temperature. In addition, the deconfinement phase transition is satisfied in the present model.

Published in	American Journal of Physics and Applications (Volume 2, Issue 2)
DOI	10.11648/j.ajpa.20140202.11
Page(s)	46-51
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

The Linear Sigma Model, Nucleon Properties, Finite Temperature Field Theory

References

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[8]	M. Rashdan, M. Abu-Shady and T.S.T Ali, "Nucleon Properties from Modified Sigma Model", Inter. J. Mod. Phys. A 22, 2673 (2007).
[9]	M. Rashdan, M. Abu-Shady and T.S.T Ali, "Extended Linear Sigma Model in Higher Order Mesonic Interactions", Inter. J. Mod. Phys. E 15, 143 (2006).
[10]	M. Abu-Shady, "Effect of Logarithmic Mesonic Potential on Nucleon Properties", Mod. Phys. Lett. A 24, 20 (2009).
[11]	M. Abu-shady, "improved nucleon properties in the extended quark sigma model" , Quant. Phys. Lett. 2, 25 (2013).
[12]	M. Abu-Shady and H. M. Mansour, "The effect of higher-order mesonic interactions on the chiral phase transition and the critical temperature", Ukr. J. Phys. 58, (2013).
[13]	M. Abu-Shady ,W. Amer and A. K. Abu-Nab, "Lowering critical temperature in the extended quark sigma model" Int. J. Theor. Phys. 50, 1372 (2013).
[14]	M. Abu-Shady, "The Effect of Finite Temperature on the Nucleon Properties in the Extended Linear Sigma Model", Inter. J. Mod. Phys. E 21, 125006 (2012).
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[18]	M. Abu-Shady, "Meson Prperties at finite temperature in the linear sigma model" Int. J. Theor. Phys. 49, 2425 (2010).
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APA Style

M. Abu-Shady, A. K. Abu-Nab. (2014). Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. American Journal of Physics and Applications, 2(2), 46-51. https://doi.org/10.11648/j.ajpa.20140202.11

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ACS Style

M. Abu-Shady; A. K. Abu-Nab. Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. Am. J. Phys. Appl. 2014, 2(2), 46-51. doi: 10.11648/j.ajpa.20140202.11

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AMA Style

M. Abu-Shady, A. K. Abu-Nab. Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. Am J Phys Appl. 2014;2(2):46-51. doi: 10.11648/j.ajpa.20140202.11

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@article{10.11648/j.ajpa.20140202.11,
  author = {M. Abu-Shady and A. K. Abu-Nab},
  title = {Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model},
  journal = {American Journal of Physics and Applications},
  volume = {2},
  number = {2},
  pages = {46-51},
  doi = {10.11648/j.ajpa.20140202.11},
  url = {https://doi.org/10.11648/j.ajpa.20140202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20140202.11},
  abstract = {Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective potential tends to the original effective potential when the coupling between the higher order mesonic interactions equal to zero. The field equations have been solved in the mean-field approximation by using the extended iteration method. We found that the nucleon mass increases with increasing temperature and the magnetic moments of proton and neutron increase with increasing temperature. A comparison is presented with recent previous works and other models. We conclude that higher-order mesonic interactions play an important role in changing the behavior of nucleon properties at finite temperature. In addition, the deconfinement phase transition is satisfied in the present model.},
 year = {2014}
}

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TY  - JOUR
T1  - Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model
AU  - M. Abu-Shady
AU  - A. K. Abu-Nab
Y1  - 2014/03/10
PY  - 2014
N1  - https://doi.org/10.11648/j.ajpa.20140202.11
DO  - 10.11648/j.ajpa.20140202.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 46
EP  - 51
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20140202.11
AB  - Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective potential tends to the original effective potential when the coupling between the higher order mesonic interactions equal to zero. The field equations have been solved in the mean-field approximation by using the extended iteration method. We found that the nucleon mass increases with increasing temperature and the magnetic moments of proton and neutron increase with increasing temperature. A comparison is presented with recent previous works and other models. We conclude that higher-order mesonic interactions play an important role in changing the behavior of nucleon properties at finite temperature. In addition, the deconfinement phase transition is satisfied in the present model.
VL  - 2
IS  - 2
ER  -

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Author Information

M. Abu-Shady

Department of Mathematics, Faculty of Science, Menoufia University, Egypt
A. K. Abu-Nab

Department of Mathematics, Faculty of Science, Menoufia University, Egypt

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APA Style

M. Abu-Shady, A. K. Abu-Nab. (2014). Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. American Journal of Physics and Applications, 2(2), 46-51. https://doi.org/10.11648/j.ajpa.20140202.11

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ACS Style

M. Abu-Shady; A. K. Abu-Nab. Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. Am. J. Phys. Appl. 2014, 2(2), 46-51. doi: 10.11648/j.ajpa.20140202.11

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AMA Style

M. Abu-Shady, A. K. Abu-Nab. Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model. Am J Phys Appl. 2014;2(2):46-51. doi: 10.11648/j.ajpa.20140202.11

Copy | Download

@article{10.11648/j.ajpa.20140202.11,
  author = {M. Abu-Shady and A. K. Abu-Nab},
  title = {Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model},
  journal = {American Journal of Physics and Applications},
  volume = {2},
  number = {2},
  pages = {46-51},
  doi = {10.11648/j.ajpa.20140202.11},
  url = {https://doi.org/10.11648/j.ajpa.20140202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20140202.11},
  abstract = {Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective potential tends to the original effective potential when the coupling between the higher order mesonic interactions equal to zero. The field equations have been solved in the mean-field approximation by using the extended iteration method. We found that the nucleon mass increases with increasing temperature and the magnetic moments of proton and neutron increase with increasing temperature. A comparison is presented with recent previous works and other models. We conclude that higher-order mesonic interactions play an important role in changing the behavior of nucleon properties at finite temperature. In addition, the deconfinement phase transition is satisfied in the present model.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model
AU  - M. Abu-Shady
AU  - A. K. Abu-Nab
Y1  - 2014/03/10
PY  - 2014
N1  - https://doi.org/10.11648/j.ajpa.20140202.11
DO  - 10.11648/j.ajpa.20140202.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 46
EP  - 51
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20140202.11
AB  - Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective potential tends to the original effective potential when the coupling between the higher order mesonic interactions equal to zero. The field equations have been solved in the mean-field approximation by using the extended iteration method. We found that the nucleon mass increases with increasing temperature and the magnetic moments of proton and neutron increase with increasing temperature. A comparison is presented with recent previous works and other models. We conclude that higher-order mesonic interactions play an important role in changing the behavior of nucleon properties at finite temperature. In addition, the deconfinement phase transition is satisfied in the present model.
VL  - 2
IS  - 2
ER  -

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