American Journal of Physics and Applications
Volume 2, Issue 2, March 2014, Pages: 46-51
Received: Jan. 30, 2014;
Published: Mar. 10, 2014
Views 3190 Downloads 138
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
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.
A. K. Abu-Nab,
Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model, American Journal of Physics and Applications.
Vol. 2, No. 2,
2014, pp. 46-51.
C. V. Christov, E. R. Arriola and K. Goeke, "Nucleon properties and restoration of chiral symmetry at finite density and temperature in an effective theory", Nucl. Phys A 556, 641(1993).
T. H. Phat, N. T. Anh, and L. V. Hoa, "On the chiral phase transition in the linear sigma model", Eur. Phys. J. A 19, 359 (2004).
M. Gell-Mann and M. Levy, "The Axial vector current in Beta Decay", Nuovo Cim. 16, 705 (1960).
T. H. R. Skyrme, "Proc. R. Soc. London", Ser. A 260, 127 (1961).
M. Birse and M. Banerjee, "Chiral model for nucleon and delta", Phys. Rev. D 31, 118 (1985).
M. Broniowski, M. Banerjee, "Chiral quark-meson model of N and Δ with vector mesons ", Phys. Rev. D 34, 849 (1986).
M. Birse, "Chiral model of the nucleon: Projecting the hedgehog as a coherent state", Phys. Rev. D 33, 1934 (1986).
M. Rashdan, M. Abu-Shady and T.S.T Ali, "Nucleon Properties from Modified Sigma Model", Inter. J. Mod. Phys. A 22, 2673 (2007).
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).
M. Abu-Shady, "Effect of Logarithmic Mesonic Potential on Nucleon Properties", Mod. Phys. Lett. A 24, 20 (2009).
M. Abu-shady, "improved nucleon properties in the extended quark sigma model" , Quant. Phys. Lett. 2, 25 (2013).
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).
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).
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).
T. Kahara and K. Tuominen, Effective models of two-flavor QCD" Phys. Rev. D 80 114022 (2009).
Kahara and K. Tuominen, "Effective models of two-flavor QCD: Finite μ and mq dependence" Phys. Rev. D 82 114026 (2010).
W. Broniowski and B. Golli, "Approximating chiral quark models with linear σ-models" Nul. Phy. A 714, 575 (2003).
M. Abu-Shady, "Meson Prperties at finite temperature in the linear sigma model" Int. J. Theor. Phys. 49, 2425 (2010).
A. A. Osipov, B. Hiller, J. Moreira, A. H. Blin, and J. da. "Providencia, Stationary phase corrections in the process of bosonization of multi-quark interactions", Eur. Phys. C 46, 225 (2006).
B. Hiller, J. Moreira, A. A. Oscipov and A. H. Blin, "Phase diagram for the Nambu-Jona-Lasinio model with 't Hooft and eight-quark interactions", Phys. Rev. D 81, 116005 (2010).