Volume 4 Number 3 (May 2014)
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IJAPM 2014 Vol.4(3): 184-187 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2014.V4.280

Determination of the Axial-Vector Coupling Constant from the Extended Linear Sigma Model

Tarek Sayed Taha Ali
Abstract—We reexamine the work of Rashdan et al., who considered a chiral model for the nucleon based on the linear sigma model with scalar-isoscalar scalar-isovector mesons coupled to quarks. The dependence of the axial-vector coupling constant gA and the pion nucleon coupling constant gπNN on the quark masses and sigma masses have been investigated in the frame work of the extended linear sigma model. In this work we calculate both of gA and gπNN to investigate the effect of the quark masses on the gA in the framework of the extended linear sigma model, which is proposed by Rashdan et al. and compare it with the free Skyrmion model, extended Skyrmion model and finally with Birse and Banerjee model. The field equations have been solved in the mean-field approximation by Goldflam and Wilets. Our study shows a better fitting to the experimental data compared with the existing models.

Index Terms—Extended linear sigma model, axial vector coupling constant, quark mass and mean field approximation.

Tarek Sayed Taha Ali is with Faculty of Science, UAE University, AL-AIN, U.A.E. (e-mail: t.ali@uaeu.ac.ae).

Cite: Tarek Sayed Taha Ali, "Determination of the Axial-Vector Coupling Constant from the Extended Linear Sigma Model," International Journal of Applied Physics and Mathematics vol. 4, no. 3, pp. 184-187, 2014.

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing:  Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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