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 g_A and the pion nucleon coupling constant g_πNN 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 g_A and g_πNN to investigate the effect of the quark masses on the g_A 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.