doi: 10.7763/IJAPM.2014.V4.280
Determination of the Axial-Vector Coupling Constant from the Extended Linear Sigma Model
Tarek Sayed Taha Ali
- Faculty of Science, UAE University
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 <em>g<sub>A</sub></em> and the pion nucleon coupling constant <em>g<sub>πNN</sub></em> 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 <em>g<sub>A</sub></em> and <em>g<sub>πNN</sub></em> to investigate the effect of the quark masses on the <em>g<sub>A</sub></em> 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.
Keywords
- Extended linear sigma model
- axial vector coupling constant
- quark mass and mean field approximation
How to 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. https://doi.org/ 10.7763/IJAPM.2014.V4.280
Copyright & License
Copyright © 2014 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).