\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."> Self-consistent mean field approximation and application in three-flavor NJL model -
  • [1]

    J. R. Oppenheimer and G. M. Volkoff, Physical Review,55: 374 (1939)

  • [2]

    Y. Nambu and G. Jona-Lasinio, Physical Review,122: 345 (1961)

  • [3]

    Y. Nambu and G. Jona-Lasinio, Physical Review,124: 246 (1961)

  • [4]

    S. P. Klevansky, Reviews of Modern Physics,64: 649 (1992)

  • [5]

    M. Buballa, Physics Reports,407: 205 (2005)

  • [6]

    T. Kunihiro and T. Hatsuda, Progress of Theoretical Physics,71: 1332 (1984)

  • [7]

    T. Hatsuda and T. Kunihiro, Prog. Theor. Phys.,74: 765 (1985)

  • [8]

    F. Wang, Y. Cao, and H. Zong, Chinese Physics C,43: 084102 (2019)

  • [9]

    P. Demorest, T. Pennucci, S. Ransomet al., nature,467: 1081 (2010)

  • [10]

    J. Antoniadis, P. C. Freire, N. Wexet al., Science,340: 1233232 (2013)

  • [11]

    E. Fonseca, T. T. Pennucci, J. A. Elliset al., The Astrophysical Journal,832: 167 (2016)

  • [12]

    H. Cromartie, E. Fonseca, S. M. Ransomet al., arXiv: 1904.06759 (2019)

  • [13]

    B. P. Abbott, R. Abbott, T. Abbottet al., Physical Review Letters,119: 161101 (2017)

  • [14]

    H. Gao, Z. Cao, S. Aiet al., The Astrophysical Journal Letters,851: L45 (2017)

  • [15]

    A. Bauswein, O. Just, H.-T. Jankaet al., The Astrophysical Journal Letters,850: L34 (2017)

  • [16]

    J.-E. Christian, A. Zacchi, and J. Schaffner-Bielich, Physical Review D,99: 023009 (2019)

  • [17]

    A. Bauswein, N.-U. F. Bastian, D. Blaschkeet al., arXiv: 1904.01306 (2019)

  • [18]

    T. Zhao, W. Zheng, F. Wanget al., Physical Review D,100: 043018 (2019)

  • [19]

    Z.-F. Cui, F.-Y. Hou, Y.-M. Shiet al., Annals of Physics,358: 172 (2015)

  • [20]

    M. Halasz, A. Jackson, R. Shrocket al., Physical Review D,58: 096007 (1998)

  • [21]

    H.-S. Zong and W.-M. Sun, Physical Review D,78: 054001 (2008)

  • [22]

    H.-S. Zong and W.-M. Sun, International Journal of Modern Physics A,23: 3591 (2008)

  • [23]

    Y. Yan, J. Cao, X.-L. Luoet al., Physical Review D,86: 114028 (2012)

  • [24]

    O. Benvenuto and G. Lugones, Physical Review D,51: 1989 (1995)

  • [25]

    C. C. Moustakidis, T. Gaitanos, C. Margaritiset al., Physical Review C,95: 045801 (2017)

  • [26]

    P. Bedaque and A. W. Steiner, Physical Review Letters,114: 031103 (2015)

  • [27]

    I. Tews, J. Margueron, and S. Reddy, Physical Review C,98: 045804 (2018)

  • [28]

    Q. Wang, T. Zhao, and H. Zong, arXiv: 1908.01325 (2019)

  • [29]

    Q. Wang, C. Shi, and H.-S. Zong, Physical Review D,100: 123003 (2019)

Baidu
map