Self-consistent mean field approximation and application in three-flavor NJL model |
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Authors: | Zi-Xiong Yu Tong Zhao Hong-Shi Zong |
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Affiliation: | 1. Department of physics, Nanjing University, Nanjing 210093, China2. Department of physics, AnHui Normal University, Wuhu 241000, China3. Nanjing Proton Source Research and Design Center, Nanjing 210093, China |
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Abstract: | In this study, we apply a self-consistent mean field approximation of the three-flavor Nambu–Jona-Lasinio (NJL) model and compare it with the two-flavor NJL model. The self-consistent mean field approximation introduces a new parameter, begin{document}$alpha$end{document}![]() , that cannot be fixed in advance by the mean field approach itself. Due to the lack of experimental data, the parameter, begin{document}$alpha$end{document}![]() , is undetermined. Hence, it is regarded as a free parameter and its influence on the chiral phase transition of strong interaction matter is studied based on this self-consistent mean field approximation. begin{document}$alpha$end{document}![]() affects numerous properties of the chiral phase transitions, such as the position of the phase transition point and the order of phase transition. Additionally, increasing begin{document}$alpha$end{document}![]() will decrease the number densities of different quarks and increase the chemical potential at which the number density of the strange quark is non-zero. Finally, we observed that begin{document}$alpha$end{document}![]() affects the equation of state (EOS) of the quark matter, and the sound velocity can be calculated to determine the stiffness of the EOS, which provides a good basis for studying the neutron star mass-radius relationship. |
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Keywords: | chiral phase transition finite density NJL model self-consistent mean field approximation |
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