Advertisement

Hypernuclear stars from relativistic Hartree-Fock density functional theory

  • Jia Jie Li
  • Wen Hui Long
  • Armen Sedrakian
Regular Article - Theoretical Physics
  • 11 Downloads

Abstract.

The hypernuclear matter is studied within the relativistic Hartree-Fock theory employing several parametrizations of the hypernuclear density functional with density-dependent couplings. The equations of state and compositions of hypernuclear matter are determined for each parametrization and compact stars are constructed by solving their structure equations in spherical symmetry. We quantify the softening effect of Fock terms on the equation of state, as well as discuss the impact of tensor interactions, which are absent in the Hartree theories. Starting from models of density functionals which are fixed in the nuclear sector to the nuclear phenomenology, we vary the couplings in the hyperonic sector around the central values which are fitted to the hyperon potentials in nuclear matter. We use the SU(6) spin-flavor and SU(3) flavor symmetric quark models to relate the hyperonic couplings to the nucleonic ones. We find, consistent with previous Hartree studies, that for the SU(6) model the maximal masses of compact stars are below the two-solar mass limit. In the SU(3) model we find sufficiently massive compact stars with cores composed predominantly of \(\Lambda\) and \(\Xi\) hyperons and a low fraction of leptons (mostly electrons). The parameter space of the SU(3) model is identified where simultaneously hypernuclear compact stars obey the astrophysical limits on pulsar masses and the empirical hypernuclear potentials in nuclear matter are reproduced.

References

  1. 1.
    N.K. Glendenning, Compact Stars: Nuclear Physics, Particle Physics, and General Relativity, Astronomy and Astrophysics Library (Springer, 1997)Google Scholar
  2. 2.
    F. Weber, Pulsars as astrophysical laboratories for nuclear and particle physics (Institute of Physics, Bristol, 1999)Google Scholar
  3. 3.
    J. Lattimer, M. Prakash, Science 304, 536 (2004)ADSCrossRefGoogle Scholar
  4. 4.
    F. Weber, R. Negreiros, P. Rosenfield, M. Stejner, Prog. Part. Nucl. Phys. 59, 94 (2007)ADSCrossRefGoogle Scholar
  5. 5.
    A. Sedrakian, Prog. Part. Nucl. Phys. 58, 168 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    M. Oertel, M. Hempel, T. Klähn, S. Typel, Rev. Mod. Phys. 89, 015007 (2017)ADSCrossRefGoogle Scholar
  7. 7.
    P.C.C. Freire, C.G. Bassa, N. Wex, I.H. Stairs, D.J. Champion et al., Mon. Not. R. Astron. Soc. 412, 2763 (2011)ADSCrossRefGoogle Scholar
  8. 8.
    P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    E. Fonseca, T.T. Pennucci, J.A. Ellis, I.H. Stairs, D.J. Nice et al., Astrophys. J. 832, 167 (2016)ADSCrossRefGoogle Scholar
  10. 10.
    J. Antoniadis, P.C.C. Freire, N. Wex, T.M. Tauris, R.S. Lynch et al., Science 340, 6131 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    J.M. Lattimer, M. Prakash, Phys. Rep. 621, 127 (2016)ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    J.M. Lattimer, A.W. Steiner, Astrophys. J. 784, 123 (2014)ADSCrossRefGoogle Scholar
  13. 13.
    A.L. Watts, N. Andersson, D. Chakrabarty, M. Feroci, K. Hebeler et al., Rev. Mod. Phys. 88, 021001 (2016)ADSCrossRefGoogle Scholar
  14. 14.
    A.W. Steiner, J.M. Lattimer, E.F. Brown, Eur. Phys. J. A 52, 18 (2016)ADSCrossRefGoogle Scholar
  15. 15.
    A. Steiner, C. Heinke, S. Bogdanov, C. Li, W. Ho, A. Bahramian, S. Han, Mon. Not. R. Astron. Soc. 476, 421 (2018)ADSCrossRefGoogle Scholar
  16. 16.
    K. Gendreau, Z. Arzoumanian, in American Astronomical Society Meeting, Vol. 229 (AAS, 2017)Google Scholar
  17. 17.
    A. Bauswein, H.-T. Janka, Phys. Rev. Lett. 108, 011101 (2012)ADSCrossRefGoogle Scholar
  18. 18.
    B.D. Lackey, L. Wade, Phys. Rev. D 91, 043002 (2015)ADSCrossRefGoogle Scholar
  19. 19.
    Virgo, LIGO Scientific Collaborations (B. Abbott et al.), Phys. Rev. Lett. 119, 161101 (2017)ADSCrossRefGoogle Scholar
  20. 20.
    E. Annala, T. Gorda, A. Kurkela, A. Vuorinen, Phys. Rev. Lett. 120, 172703 (2018)ADSCrossRefGoogle Scholar
  21. 21.
    V. Paschalidis, K. Yagi, D. Alvarez-Castillo, D.B. Blaschke, A. Sedrakian, Phys. Rev. D 97, 084038 (2018)ADSCrossRefGoogle Scholar
  22. 22.
    P.-G. Reinhard, Rep. Prog. Phys. 52, 439 (1989)ADSCrossRefGoogle Scholar
  23. 23.
    P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996)ADSCrossRefGoogle Scholar
  24. 24.
    B.D. Serot, J.D. Walecka, Int. J. Mod. Phys. E 6, 515 (1997)ADSCrossRefGoogle Scholar
  25. 25.
    D. Vretenar, A.V. Afanasjev, G.A. Lalazissis, P. Ring, Phys. Rep. 409, 101 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    J. Meng, H. Toki, S.-G. Zhou, S. Zhang, W. Long, L. Geng, Prog. Part. Nucl. Phys. 57, 470 (2006)ADSCrossRefGoogle Scholar
  27. 27.
    L. Bonanno, A. Sedrakian, Astron. Astrophys. 539, A16 (2012)ADSCrossRefGoogle Scholar
  28. 28.
    S. Weissenborn, D. Chatterjee, J. Schaffner-Bielich, Nucl. Phys. A 881, 62 (2012)ADSCrossRefGoogle Scholar
  29. 29.
    S. Weissenborn, D. Chatterjee, J. Schaffner-Bielich, Phys. Rev. C 85, 065802 (2012)ADSCrossRefGoogle Scholar
  30. 30.
    I. Bednarek, P. Haensel, J. Zdunik, M. Bejger, R. Mańka, Astron. Astrophys. 543, A157 (2012)ADSCrossRefGoogle Scholar
  31. 31.
    M.E. Gusakov, P. Haensel, E.M. Kantor, Mon. Not. R. Astron. Soc. 439, 318 (2014)ADSCrossRefGoogle Scholar
  32. 32.
    D. Chatterjee, I. Vidaña, Europ. Phys. J. A 52, 29 (2016)ADSCrossRefGoogle Scholar
  33. 33.
    K. Maslov, E. Kolomeitsev, D. Voskresensky, Phys. Lett. B 748, 369 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    L. Tolos, M. Centelles, A. Ramos, Astrophys. J. 834, 3 (2017)ADSCrossRefGoogle Scholar
  35. 35.
    W.M. Spinella, PhD Thesis, The Claremont Graduate University (2017)Google Scholar
  36. 36.
    W.H. Long, B.Y. Sun, K. Hagino, H. Sagawa, Phys. Rev. C 85, 025806 (2012)ADSCrossRefGoogle Scholar
  37. 37.
    G. Colucci, A. Sedrakian, Phys. Rev. C 87, 055806 (2013)ADSCrossRefGoogle Scholar
  38. 38.
    E. van Dalen, G. Colucci, A. Sedrakian, Phys. Lett. B 734, 383 (2014)ADSCrossRefGoogle Scholar
  39. 39.
    G. Colucci, A. Sedrakian, J. Phys.: Conf. Ser. 496, 012003 (2014)Google Scholar
  40. 40.
    S. Banik, M. Hempel, D. Bandyopadhyay, Astrophys. J. Suppl. 214, 22 (2014)ADSCrossRefGoogle Scholar
  41. 41.
    R.O. Gomes, V. Dexheimer, S. Schramm, C.A.Z. Vasconcellos, Astrophys. J. 808, 8 (2015)ADSCrossRefGoogle Scholar
  42. 42.
    P. Char, S. Banik, D. Bandyopadhyay, Astrophys. J. 809, 116 (2015)ADSCrossRefGoogle Scholar
  43. 43.
    M. Oertel, C. Providência, F. Gulminelli, A.R. Raduta, J. Phys. G 42, 075202 (2015)ADSCrossRefGoogle Scholar
  44. 44.
    M. Oertel, F. Gulminelli, C. Providência, A.R. Raduta, Eur. Phys. J. A 52, 50 (2016)ADSCrossRefGoogle Scholar
  45. 45.
    M. Marques, M. Oertel, M. Hempel, J. Novak, Phys. Rev. C 96, 045806 (2017)ADSCrossRefGoogle Scholar
  46. 46.
    A.R. Raduta, A. Sedrakian, F. Weber, Mon. Not. R. Astron. Soc. 475, 4347 (2018)ADSCrossRefGoogle Scholar
  47. 47.
    M. Fortin, S.S. Avancini, C. Providência, I. Vidaña, Phys. Rev. C 95, 065803 (2017)ADSCrossRefGoogle Scholar
  48. 48.
    K. Saito, K. Tsushima, A.W. Thomas, Prog. Part. Nucl. Phys. 58, 1 (2007)ADSCrossRefGoogle Scholar
  49. 49.
    J. Rikovska Stone, P.A.M. Guichon, H.H. Matevosyan, A.W. Thomas, Nucl. Phys. A 792, 341 (2007)ADSCrossRefGoogle Scholar
  50. 50.
    E. Massot, J. Margueron, G. Chanfray, EPL 97, 39002 (2012)ADSCrossRefGoogle Scholar
  51. 51.
    D.L. Whittenbury, J.D. Carroll, A.W. Thomas, K. Tsushima, J.R. Stone, Phys. Rev. C 89, 065801 (2014)ADSCrossRefGoogle Scholar
  52. 52.
    T. Miyatsu, M.-K. Cheoun, K. Saito, Astrophys. J. 813, 135 (2015)ADSCrossRefGoogle Scholar
  53. 53.
    W.H. Long, N. Van Giai, J. Meng, Phys. Lett. B 640, 150 (2006)ADSCrossRefGoogle Scholar
  54. 54.
    W.H. Long, H. Sagawa, N.V. Giai, J. Meng, Phys. Rev. C 76, 034314 (2007)ADSCrossRefGoogle Scholar
  55. 55.
    H. Liang, N. Van Giai, J. Meng, Phys. Rev. Lett. 101, 122502 (2008)ADSCrossRefGoogle Scholar
  56. 56.
    W.H. Long, P. Ring, N.V. Giai, J. Meng, Phys. Rev. C 81, 024308 (2010)ADSCrossRefGoogle Scholar
  57. 57.
    W.H. Long, P. Ring, J. Meng, N. Van Giai, C.A. Bertulani, Phys. Rev. C 81, 031302 (2010)ADSCrossRefGoogle Scholar
  58. 58.
    J.J. Li, W.H. Long, J. Margueron, N. Van Giai, Phys. Lett. B 732, 169 (2014)ADSCrossRefGoogle Scholar
  59. 59.
    J.J. Li, J. Margueron, W.H. Long, N. Van Giai, Phys. Rev. C 92, 014302 (2015)ADSCrossRefGoogle Scholar
  60. 60.
    W. Long, H. Sagawa, J. Meng, N. Van Giai, EPL 82, 12001 (2008)CrossRefGoogle Scholar
  61. 61.
    W.H. Long, T. Nakatsukasa, H. Sagawa, J. Meng, H. Nakada, Y. Zhang, Phys. Lett. B 680, 428 (2009)ADSCrossRefGoogle Scholar
  62. 62.
    J.J. Li, W.H. Long, J.L. Song, Q. Zhao, Phys. Rev. C 93, 054312 (2016)ADSCrossRefGoogle Scholar
  63. 63.
    L.J. Jiang, S. Yang, B.Y. Sun, W.H. Long, H.Q. Gu, Phys. Rev. C 91, 034326 (2015)ADSCrossRefGoogle Scholar
  64. 64.
    J.J. Li, J. Margueron, W.H. Long, N. Van Giai, Phys. Lett. B 753, 97 (2016)ADSCrossRefGoogle Scholar
  65. 65.
    B.Y. Sun, W.H. Long, J. Meng, U. Lombardo, Phys. Rev. C 78, 065805 (2008)ADSCrossRefGoogle Scholar
  66. 66.
    J. Götz, J. Ramschütz, F. Weber, M. Weigel, Phys. Lett. B 226, 213 (1989)ADSCrossRefGoogle Scholar
  67. 67.
    S. Marcos, J.-F. Mathiot, M. Lopez-Quelle, R. Niembro, P. Bernardos, Nucl. Phys. A 600, 529 (1996)ADSCrossRefGoogle Scholar
  68. 68.
    R.C. Tolman, Phys. Rev. 55, 364 (1939)ADSCrossRefGoogle Scholar
  69. 69.
    J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)ADSCrossRefGoogle Scholar
  70. 70.
    G. Baym, C. Pethick, P. Sutherland, Astrophys. J. 170, 299 (1971)ADSCrossRefGoogle Scholar
  71. 71.
    G. Baym, H.A. Bethe, C.J. Pethick, Nucl. Phys. A 175, 225 (1971)ADSCrossRefGoogle Scholar
  72. 72.
    M. Fortin, C. Providência, A.R. Raduta, F. Gulminelli, J.L. Zdunik, P. Haensel, M. Bejger, Phys. Rev. C 94, 035804 (2016)ADSCrossRefGoogle Scholar
  73. 73.
    G.A. Lalazissis, T. Nikšić, D. Vretenar, P. Ring, Phys. Rev. C 71, 024312 (2005)ADSCrossRefGoogle Scholar
  74. 74.
    N.K. Glendenning, S.A. Moszkowski, Phys. Rev. Lett. 67, 2414 (1991)ADSCrossRefGoogle Scholar
  75. 75.
    K. Hebeler, J. Lattimer, C.J. Pethick, A. Schwenk, Astrophys. J. 773, 11 (2013)ADSCrossRefGoogle Scholar
  76. 76.
    M.B. Tsang, Y. Zhang, P. Danielewicz, M. Famiano, Z. Li, W.G. Lynch, A.W. Steiner, Phys. Rev. Lett. 102, 122701 (2009)ADSCrossRefGoogle Scholar
  77. 77.
    P. Russotto, P.Z. Wu, M. Zoric, M. Chartier, Y. Leifels, R.C. Lemmon, Q. Li, J. Lukasik, A. Pagano, P. Pawłowski et al., Phys. Lett. B 697, 471 (2011)ADSCrossRefGoogle Scholar
  78. 78.
    P. Russotto, S. Gannon, S. Kupny, P. Lasko, L. Acosta et al., Phys. Rev. C 94, 034608 (2016)ADSCrossRefGoogle Scholar
  79. 79.
    P. Danielewicz, J. Lee, Nucl. Phys. A 922, 1 (2014)ADSCrossRefGoogle Scholar
  80. 80.
    S. Typel, H.H. Wolter, Nucl. Phys. A 656, 331 (1999)ADSCrossRefGoogle Scholar
  81. 81.
    S. Typel, Phys. Rev. C 71, 064301 (2005)ADSCrossRefGoogle Scholar
  82. 82.
    S. Typel, G. Röpke, T. Klähn, D. Blaschke, H.H. Wolter, Phys. Rev. C 81, 015803 (2010)ADSCrossRefGoogle Scholar
  83. 83.
    T. Klähn, D. Blaschke, S. Typel, E.N.E. van Dalen, A. Faessler et al., Phys. Rev. C 74, 035802 (2006)ADSCrossRefGoogle Scholar
  84. 84.
    W. Long, J. Meng, N.V. Giai, S.-G. Zhou, Phys. Rev. C 69, 034319 (2004)ADSCrossRefGoogle Scholar
  85. 85.
    T. Nikšić, D. Vretenar, P. Finelli, P. Ring, Phys. Rev. C 66, 024306 (2002)ADSCrossRefGoogle Scholar
  86. 86.
    X. Roca-Maza, X. Viñas, M. Centelles, P. Ring, P. Schuck, Phys. Rev. C 84, 054309 (2011)ADSCrossRefGoogle Scholar
  87. 87.
    Y. Sugahara, H. Toki, Nucl. Phys. A 579, 557 (1994)ADSCrossRefGoogle Scholar
  88. 88.
    H. Toki, D. Hirata, Y. Sugahara, K. Sumiyoshi, I. Tanihata, Nucl. Phys. A 588, 357c (1995)ADSCrossRefGoogle Scholar
  89. 89.
    G.A. Lalazissis, J. König, P. Ring, Phys. Rev. C 55, 540 (1997)ADSCrossRefGoogle Scholar
  90. 90.
    G.A. Lalazissis, S. Karatzikos, R. Fossion, D.P. Arteaga, A.V. Afanasjev, P. Ring, Phys. Lett. B 671, 36 (2009)ADSCrossRefGoogle Scholar
  91. 91.
    B.G. Todd-Rutel, J. Piekarewicz, Phys. Rev. Lett. 95, 122501 (2005)ADSCrossRefGoogle Scholar
  92. 92.
    W.-C. Chen, J. Piekarewicz, Phys. Rev. C 90, 044305 (2014)ADSCrossRefGoogle Scholar
  93. 93.
    F.J. Fattoyev, C.J. Horowitz, J. Piekarewicz, G. Shen, Phys. Rev. C 82, 055803 (2010)ADSCrossRefGoogle Scholar
  94. 94.
    A.W. Steiner, M. Hempel, T. Fischer, Astrophys. J. 774, 17 (2013)ADSCrossRefGoogle Scholar
  95. 95.
    E. van Dalen, C. Fuchs, A. Faessler, Phys. Rev. Lett. 95, 022302 (2005)ADSCrossRefGoogle Scholar
  96. 96.
    E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998)ADSCrossRefGoogle Scholar
  97. 97.
    P.-G. Reinhard, Nucl. Phys. A 649, 305c (1999)ADSCrossRefGoogle Scholar
  98. 98.
    T. Nikšić, T. Marketin, D. Vretenar, N. Paar, P. Ring, Phys. Rev. C 71, 014308 (2005)ADSCrossRefGoogle Scholar
  99. 99.
    T. Marketin, D. Vretenar, P. Ring, Phys. Rev. C 75, 024304 (2007)ADSCrossRefGoogle Scholar
  100. 100.
    I. Tews, J.M. Lattimer, A. Ohnishi, E.E. Kolomeitsev, Astrophys. J. 848, 105 (2017)ADSCrossRefGoogle Scholar
  101. 101.
    J.J. de Swart, Rev. Mod. Phys. 35, 916 (1963)ADSMathSciNetCrossRefGoogle Scholar
  102. 102.
    C.B. Dover, A. Gal, Prog. Part. Nucl. Phys. 12, 171 (1984)ADSCrossRefGoogle Scholar
  103. 103.
    J. Schaffner, C.B. Dover, A. Gal, C. Greiner, D.J. Millener, H. Stocker, Ann. Phys. 235, 35 (1994)ADSCrossRefGoogle Scholar
  104. 104.
    J.A. Maruhn, T. Bürvenich, D.G. Madland, J. Comput. Phys. 169, 238 (2001)ADSMathSciNetCrossRefGoogle Scholar
  105. 105.
    H. Liang, P. Zhao, P. Ring, X. Roca-Maza, J. Meng, Phys. Rev. C 86, 021302 (2012)ADSCrossRefGoogle Scholar
  106. 106.
    T. Hasegawa, O. Hashimoto, S. Homma, T. Miyachi, T. Nagae et al., Phys. Rev. C 53, 1210 (1996)ADSCrossRefGoogle Scholar
  107. 107.
    H. Hotchi, T. Nagae, H. Outa, H. Noumi, M. Sekimoto et al., Phys. Rev. C 64, 044302 (2001)ADSCrossRefGoogle Scholar
  108. 108.
    D.J. Millener, C.B. Dover, A. Gal, Phys. Rev. C 38, 2700 (1988)ADSCrossRefGoogle Scholar
  109. 109.
    N.K. Glendenning, D. Von-Eiff, M. Haft, H. Lenske, M.K. Weigel, Phys. Rev. C 48, 889 (1993)ADSCrossRefGoogle Scholar
  110. 110.
    K. Tsushima, K. Saito, A.W. Thomas, Phys. Lett. B 411, 9 (1997)ADSCrossRefGoogle Scholar
  111. 111.
    C.M. Keil, F. Hofmann, H. Lenske, Phys. Rev. C 61, 064309 (2000)ADSCrossRefGoogle Scholar
  112. 112.
    J. Cugnon, A. Lejeune, H.-J. Schulze, Phys. Rev. C 62, 064308 (2000)ADSCrossRefGoogle Scholar
  113. 113.
    I. Vidaña, A. Polls, A. Ramos, H.-J. Schulze, Phys. Rev. C 64, 044301 (2001)ADSCrossRefGoogle Scholar
  114. 114.
    The AGS E885 Collaboration (P. Khaustov, D.E. Alburger, P.D. Barnes, B. Bassalleck, A.R. Berdoz et al.), Phys. Rev. C 61, 054603 (2000)CrossRefGoogle Scholar
  115. 115.
    H. Noumi, P.K. Saha, D. Abe, S. Ajimura, K. Aoki et al., Phys. Rev. Lett. 89, 072301 (2002)ADSCrossRefGoogle Scholar
  116. 116.
    M. Kohno, Y. Fujiwara, Y. Watanabe, K. Ogata, M. Kawai, Phys. Rev. C 74, 064613 (2006)ADSCrossRefGoogle Scholar
  117. 117.
    T. Nagae, T. Miyachi, T. Fukuda, H. Outa, T. Tamagawa et al., Phys. Rev. Lett. 80, 1605 (1998)ADSCrossRefGoogle Scholar
  118. 118.
    E. Friedman, A. Gal, Phys. Rep. 452, 89 (2007)ADSCrossRefGoogle Scholar
  119. 119.
    C.B. Dover, D.J. Millener, A. Gal, D.H. Davis, Phys. Rev. C 44, 1905 (1991)ADSCrossRefGoogle Scholar
  120. 120.
    S. Aoki, S. Bahk, K. Chung, S. Chung, H. Funahashi et al., Prog. Theor. Phys. 85, 1287 (1991)ADSCrossRefGoogle Scholar
  121. 121.
    H. Takahashi, J.K. Ahn, H. Akikawa, S. Aoki, K. Arai et al., Phys. Rev. Lett. 87, 212502 (2001)ADSCrossRefGoogle Scholar
  122. 122.
    E373 (KEK-PS) Collaboration (J.K. Ahn, H. Akikawa, S. Aoki, K. Arai, S.Y. Bahk et al.), Phys. Rev. C 88, 014003 (2013)ADSCrossRefGoogle Scholar
  123. 123.
    E. Khan, J. Margueron, F. Gulminelli, A.R. Raduta, Phys. Rev. C 92, 044313 (2015)ADSCrossRefGoogle Scholar
  124. 124.
    J. Margueron, E. Khan, F. Gulminelli, Phys. Rev. C 96, 054317 (2017)ADSCrossRefGoogle Scholar
  125. 125.
    T. Katayama, T. Miyatsu, K. Saito, Astrophys. J. Suppl. 203, 22 (2012)ADSCrossRefGoogle Scholar
  126. 126.
    C.J. Horowitz, J. Piekarewicz, Phys. Rev. Lett. 86, 5647 (2001)ADSCrossRefGoogle Scholar
  127. 127.
    R. Cavagnoli, D.P. Menezes, C. Providência, Phys. Rev. C 84, 065810 (2011)ADSCrossRefGoogle Scholar
  128. 128.
    J.M. Lattimer, C.J. Pethick, M. Prakash, P. Haensel, Phys. Rev. Lett. 66, 2701 (1991)ADSCrossRefGoogle Scholar
  129. 129.
    D. Page, J.H. Applegate, Astrophys. J. 394, L17 (1992)ADSCrossRefGoogle Scholar
  130. 130.
    P. Haensel, O.Y. Gnedin, Astron. Astrophys. 290, 458 (1994)ADSGoogle Scholar
  131. 131.
    C. Schaab, S. Balberg, J. Schaffner-Bielich, Astrophys. J. 504, L99 (1998)ADSCrossRefGoogle Scholar
  132. 132.
    S. Tsuruta, J. Sadino, A. Kobelski, M.A. Teter, A.C. Liebmann, T. Takatsuka, K.nomoto, H. Umeda, Astrophys. J. 691, 621 (2009)ADSCrossRefGoogle Scholar
  133. 133.
    T. Katayama, K. Saito, Phys. Lett. B 747, 43 (2015)ADSCrossRefGoogle Scholar
  134. 134.
    A. Drago, A. Lavagno, G. Pagliara, D. Pigato, Euro. Phys. J. A 52, 40 (2016)ADSCrossRefGoogle Scholar
  135. 135.
    Z.-Y. Zhu, A. Li, J.-N. Hu, H. Sagawa, Phys. Rev. C 94, 045803 (2016)ADSCrossRefGoogle Scholar
  136. 136.
    J.J. Li, A. Sedrakian, F. Weber, Phys. Lett. B 783, 234 (2018)ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute for Theoretical PhysicsJ. W. Goethe UniversityFrankfurt am MainGermany
  2. 2.School of Nuclear Science and TechnologyLanzhou UniversityLanzhouChina
  3. 3.Frankfurt Institute for Advanced StudiesFrankfurt am MainGermany

Personalised recommendations