\begin{document}$ \Lambda $\end{document} of neutron stars were first extracted from GW170817 by LIGO and Virgo Collaborations. However, the relationship between the radius \begin{document}$ R $\end{document} and tidal deformability \begin{document}$ \Lambda $\end{document} is still under debate. Using an isospin-dependent parameterized equation of state (EOS), we study the relation between \begin{document}$ R $\end{document} and \begin{document}$ \Lambda $\end{document} and its dependence on parameters of symmetry energy \begin{document}$ E_{\rm sym} $\end{document} and EOS of symmetric nuclear matter \begin{document}$ E_0 $\end{document} when the mass is fixed at \begin{document}$ 1.4 $\end{document} \begin{document}$ M_\odot $\end{document}, \begin{document}$ 1.0 $\end{document} \begin{document}$ M_\odot $\end{document}, and \begin{document}$ 1.8 $\end{document} \begin{document}$ M_\odot $\end{document}. We find that, although the changes of high order parameters of \begin{document}$ E_{\rm sym} $\end{document} and \begin{document}$ E_0 $\end{document} can shift individual values of \begin{document}$ R_{1.4} $\end{document} and \begin{document}$ \Lambda_{1.4} $\end{document}, the \begin{document}$ R_{1.4}\sim\Lambda_{1.4} $\end{document} relation remains approximately at the same fitted curve. The slope \begin{document}$ L $\end{document} of the symmetry energy plays the dominant role in determining the \begin{document}$ R_{1.4}\sim\Lambda_{1.4} $\end{document} relation. By investigating the mass dependence of the \begin{document}$ R\sim\Lambda $\end{document} relation, we find that the well fitted \begin{document}$ R\sim\Lambda $\end{document} relation for 1.4 \begin{document}$ M_\odot $\end{document} is broken for massive neutron stars."> Key factor for determining relation between radius and tidal deformability of neutron stars: Slope of symmetry energy -
  • [1]

    P. B. Demorest, T. Pennucci, S. M. Ransomet al., Nature,467: 1081 (2010)

  • [2]

    Z. Arzoumanianet al., Astrophys. J. Supp.,235: 37 (2018)

  • [3]

    J. Antoniadiset al., Science,340: 448 (2013)

  • [4]

    H. T. Cromartieet al., Nature Astronomy, (2019)

  • [5]

    N. B. Zhang and B. A. Li, Astrophys. J.,879: 99 (2019)

  • [6]

    S. Campana and L. Stella, Nucl. Phys. B Proc. Suppl.,132: 427 (2004)

  • [7]

    C. O. Heinke, PhD thesis, Harvard University

  • [8]

    S. Mereghetti, Astrophys. Space Sci. Proc.,21: 345 (2011)

  • [9]

    S. Guillot, M. Servillat, N. A. Webbet al., Astrophys. J.,772: 7 (2013)

  • [10]

    A. W. Steiner, J. M. Lattimer, and E. F. Brown, Astrophys. J. Lett.,765: 5 (2013)

  • [11]

    S. Guillot and R. E. Rutledge, Astrophys. J. Lett.,796: 3 (2014)

  • [12]

    J. M. Lattimer and A. W. Steiner, Eur. Phys. J. A,50: 40 (2014)

  • [13]

    S. Bogdanov, C. O. Heinke, F. Özelet al., Astrophys. J.,831: 184 (2016)

  • [14]

    Guillot S’ s talk in Nusym2016

  • [15]

    F. Özel, D. Psaltis, T. Güveret al., Astrophys. J.,820: 28 (2016)

  • [16]

    J. Nättilä, M. C. Miller, A. W. Steineret al., A&A,608: A31 (2017)

  • [17]

    A. W. Shawet al., Mon. Not. R. Astron. Soc.,476: 4713 (2018)

  • [18]

    A. W. Steineret al., Mon. Not. R. Astron. Soc.,476: 421 (2018)

  • [19]

    M. C. Miller, arXiv: 1312.0029

  • [20]

    F. Özel, Rep. Prog. Phys.,76: 016901 (2013)

  • [21]

    M. C. Miller and F. K. Lamb, Eur. Phys. J. A,52: 63 (2016)

  • [22]

    V. F. Suleimanov, J. Poutanen, D. Klochkovet al., Eur. Phys. J. A,52: 20 (2016)

  • [23]

    B. P. Abbottet al., Phys. Rev. Lett.,119: 161101 (2017)

  • [24]

    B. P. Abbottet al., Astrophys. J. Lett.,848: 12 (2017)

  • [25]

    J. Piekarewicz,Proceedings of the XIV International Workshop on Hadron Physics, Florianópolis, 18-23 March 2018 pages 12-37, arXiv: 1805.04780

  • [26]

    B. A. Li, P. G. Krastev, D. H. Wenet al., Eur. Phys. J. A,55: 117 (2019)

  • [27]

    C. A. Raithel, Eur. Phys. J. A,55: 80 (2019)

  • [28]

    L. Baiotti, Prog. Part. Nucl. Phys.,109: 103714 (2019)

  • [29]

    B. P. Abbottet al., Phys. Rev. Lett.,121: 161101 (2018)

  • [30]

    E. Annala, T. Gorda, A. Kurkelaet al., Phys. Rev. Lett.,120: 172703 (2018)

  • [31]

    E. R. Most, L. R. Weih, L. Rezzollaet al., Phys. Rev. Lett.,120: 261103 (2018)

  • [32]

    F. J. Fattoyev, J. Piekarewicz, and C. J. Horowitz, Phys. Rev. Lett.,120: 172702 (2018)

  • [33]

    R. Nandi, P. Char, and S. Pal, Phys. Rev. C,99: 052802 (2019)

  • [34]

    H. Tong, P. W. Zhao, and J. Meng, arXiv: 1903.05938

  • [35]

    O. Lourenço, M. Dutra, C. H. Lenziet al., arXiv: 1901.04529

  • [36]

    C. A. Raithel, F. Özel, and D. Psaltis, Astrophys. J. Lett.,857: 23 (2018)

  • [37]

    T. Malik, N. Alam, M. Fortinet al., Phys. Rev. C,98: 035804 (2018)

  • [38]

    Y. Zhou, L. W. Chen, and Z. Zhang, Phys. Rev. D,99: 121301 (2019)

  • [39]

    Y. Lim and J. W. Holt, Phys. Rev. Lett.,121: 062701 (2018)

  • [40]

    D. Radice and L. Dai, Eur. Phys. J. A,55: 50 (2019)

  • [41]

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

  • [42]

    S. De, D. Finstad, J. M. Lattimeret al., Phys. Rev. Lett,121: 091102 (2018)

  • [43]

    A. Bauswein A, O. Just, H. Jankaet al., Astrophys. J. Lett,850: L34 (2017)

  • [44]

    B. Margalit and B. D. Metzger, Astrophys. J. Lett.,850: 19 (2017)

  • [45]

    M. Shibata, S. Fujibayashi, K. Hotokezakaet al., Phys. Rev. D,96: 123012 (2017)

  • [46]

    L. Rezzolla, E. R. Most, and L. R. Weih, Astrophys. J. Lett.,852: 25 (2018)

  • [47]

    M. Ruiz, S. L. Shapiro, and A. Tsokaros, Phys. Rev. D,97: 021501 (2018)

  • [48]

    E. P. Zhou, X. Zhou, and A. Li, Phys. Rev. D,97: 083015 (2018)

  • [49]

    G. Baym, S. Furusawa, T. Hatsudaet al., arXiv: 1903.08963

  • [50]

    M. Shibata, E. Zhou, K. Kiuchiet al., Phys. Rev. D,100: 023015 (2019)

  • [51]

    N. B. Zhang and B. A. Li, Eur. Phys. J. A,55: 39 (2019)

  • [52]

    T. Hinderer, Astrophys. J.,677: 1216 (2008)

  • [53]

    T. Hinderer, B. D. Lackey, R. N. Langet al., Phys. Rev. D,81: 123016 (2010)

  • [54]

    R. C. Tolman, Proc. Natl. Acad. Sci. U.S.A.,20: 3 (1934)

  • [55]

    J. Oppenheimer and G. Volkoff, Phys. Rev.,55: 374 (1939)

  • [56]

    O. Lourenço, M. Dutra, C. H. Lenziet al., Phys. Rev. C,99: 045202 (2019)

  • [57]

    C. Y. Tsang, M. B. Tsang, Pawel Danielewicset al., Phys. Lett. B,796: 10 (2019)

  • [58]

    Y. M. Kim, Y. Lim, K. Kwaket al., Phys. Rev. C,98: 065805 (2018)

  • [59]

    N. B. Zhang, B. A. Li, and J. Xu, Astrophys. J.,859: 90 (2018)

  • [60]

    N. B. Zhang and B. A. Li, J. Phys. G: Nucl. Part. Phys.,46: 014002 (2019)

  • [61]

    I. Bombaci and U. Lombardo, Phys. Rev. C,44: 1892 (1991)

  • [62]

    B. A. Brown and A. Schwenk, Phys. Rev. C,89: 011307 (2014)

  • [63]

    B. A. Li and X. Han, Phys. Lett. B,727: 276 (2013)

  • [64]

    M. Oertel, M. Hempel, T. Klähnet al., Rev. Mod. Phys.,89: 015007 (2017)

  • [65]

    B. A. Li, Nuclear Physics News,27: 7 (2017)

  • [66]

    S. Shlomo, V. M. Kolomietz, and G. Colò, Eur. Phys. J. A,30: 23 (2006)

  • [67]

    J. Piekarewicz, J. Phys. G: Nucl. Part. Phys,37: 064038 (2010)

  • [68]

    I. Tews, J. M. Lattimer, A. Ohnishiet al., Astrophys. J.,848: 105 (2017)

  • [69]

    N. B. Zhang, B. J. Cai, B. A. Liet al., Nucl. Sci. Tech.,28: 181 (2017)

  • [70]

    G. Baym, C. J. Pethick, and P. Sutherland, Astrophys. J.,170: 299 (1971)

  • [71]

    J. W. Negele and D. Vautherin, Nucl. Phys. A,207: 298 (1973)

  • [72]

    S. Kubis, Phys. Rev. C,70: 065804 (2004)

  • [73]

    S. Kubis, Phys. Rev. C,76: 025801 (2007)

  • [74]

    J. M. Lattimer and M. Prakash, Phys. Rep.,442: 109 (2007)

  • [75]

    J. Xu, L. W. Chen, B. A. Liet al., Astrophys. J.,697: 1549 (2009)

  • [76]

    J. Piekarewicz and F. J. Fattoyev, Phys. Rev. C,99: 045802 (2019)

  • [77]

    R. Gamba, J. S. Read, and L. E. Wade, arXiv: 1902.04616

  • [78]

    F. Ji, J. N. Hu, S. S. Baoet al., Phys. Rev. C,100: 045801 (2019)

  • [79]

    J. M. Lattimer and M. Prakash, Phys. Rep.,333: 121 (2000)

  • [80]

    J. M. Lattimer and M. Prakash, Astrophys. J.,550: 426 (2001)

  • [81]

    F. J. Fattoyev, J. Carvajal, W. G. Newtonet al., Phys. Rev. C,87: 015806 (2013)

  • [82]

    F. J. Fattoyev, W. G. Newton, and B. A. Li, Eur. Phys. J. A,50: 45 (2014)

  • [83]

    N. Hornick, L. Tolos, A. Zacchiet al., Phys. Rev. C,98: 065804 (2018)

  • [84]

    B. A. Li and A. W. Steiner, Phys. Lett. B,642: 436 (2006)

  • [85]

    T. E. Rileyet al., Astrophys. J. Lett.,887: L21 (2019)

  • [86]

    M. C. Milleret al., Astrophys. J. Lett.,887: L24 (2019)

Baidu
map