Advertisement

Asymmetric nuclear matter and neutron star properties within the extended Brueckner theory

  • Khaled S. A. HassaneenEmail author
Regular Article - Theoretical Physics

Abstract.

Microscopically, the equation of state (EOS) and other properties of asymmetric nuclear matter at zero temperature have been investigated extensively by adopting the non-relativistic Brueckner-Hartree-Fock (BHF) and the extended BHF approaches by using the self-consistent Green’s function approach or by including a phenomenological three-body force. Once three-body forces are introduced, the phenomenological saturation point is reproduced and the theory is applied to the study of neutron star properties. We can calculate the total mass and radius for neutron stars using various equations of state at high densities in \( \beta\)-equilibrium without hyperons. A comparison with other microscopic predictions based on non-relativistic and density-dependent relativistic mean-field calculations has been done. It is found that relativistic EOS yields however larger mass and radius for neutron star than predictions based on non-relativistic approaches. Also the three-body force plays a crucial role to deduce the theoretical value of the maximum mass of neutron stars in agreement with recent measurements of the neutron star mass.

References

  1. 1.
    F. Weber, N.K. Glendenning, M.K. Weigel, Astrophys. J. 373, 579 (1991)ADSCrossRefGoogle Scholar
  2. 2.
    C.P. Lorenz, D.G. Ravenhall, C.J. Pethick, Phys. Rev. Lett. 70, 379 (1993)ADSCrossRefGoogle Scholar
  3. 3.
    C.J. Pethick, D.G. Ravenhall, C.P. Lorenz, Nucl. Phys. A 584, 675 (1995)ADSCrossRefGoogle Scholar
  4. 4.
    Bao-An Li, Lie-Wen Chen, Che Ming Ko, Phys. Rep. 464, 113 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    G. Bao, L. Engvik, M. Hjorth-Jensen, E. Osnes, E. Ostgaard, Nucl. Phys. A 575, 707 (1994)ADSCrossRefGoogle Scholar
  6. 6.
    A.W. Steiner, M. Hempel, T. Fischer, Astrophys. J. 774, 17 (2013)ADSCrossRefGoogle Scholar
  7. 7.
    T. Fischer, M. Hempel, I. Sagert, Y. Suwa, J. Schaffner-Bielich, Eur. Phys. J. A 50, 46 (2014)ADSCrossRefGoogle Scholar
  8. 8.
    S.E. Thorsett, Z. Arzoumanian, M.M. McKinnon, J.H. Taylor, Astrophys. J. 405, L29 (1993)ADSCrossRefGoogle Scholar
  9. 9.
    J. Oppenheimer, G. Volkoff, Phys. Rev. 55, 374 (1939)ADSCrossRefGoogle Scholar
  10. 10.
    R.C. Tolman, Proc. Natl. Acad. Sci. U.S.A. 20, 3 (1934)Google Scholar
  11. 11.
    E. Witten, Phys. Rev. D 30, 272 (1984)ADSCrossRefGoogle Scholar
  12. 12.
    C. Alcock, E. Farhi, A.V. Olinto, Astrophys. J. 310, 261 (1986)ADSCrossRefGoogle Scholar
  13. 13.
    G.E. Brown, C.H. Lee, M. Rho, V. Thorsson, Nucl. Phys. A 567, 937 (1994)ADSCrossRefGoogle Scholar
  14. 14.
    A.B. Migdal, E.E. Saperstein, M.A. Troitsky, D.N. Voskresensky, Phys. Rep. 192, 179 (1990)ADSCrossRefGoogle Scholar
  15. 15.
    M. Baldo, G.F. Burgio, H.-J. Schulze, Phys. Rev. C 58, 3688 (1998)ADSCrossRefGoogle Scholar
  16. 16.
    M. Baldo, Nuclear Methods and the Nuclear Equation of State, International Review of Nuclear Physics (World Scientific, 1999)Google Scholar
  17. 17.
    M. Baldo, G.F. Burgio, H.-J. Schulze, Phys. Rev. C 61, 55801 (2000)ADSCrossRefGoogle Scholar
  18. 18.
    R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989)Google Scholar
  19. 19.
    L. Engvik, M. Hjorth-Jensen, E. Osnes, G. Bao, E. Ostgaard, Phys. Rev. Lett. 73, 2650 (1994)ADSCrossRefGoogle Scholar
  20. 20.
    E.N.E. van Dalen, C. Fuchs, A. Faessler, Eur. Phys. J. A 31, 29 (2007)ADSCrossRefGoogle Scholar
  21. 21.
    Bao Yuan Sun, Wen Hui Long, Jie Meng, U. Lombardo, Phys. Rev. C 78, 065805 (2008)ADSCrossRefGoogle Scholar
  22. 22.
    P. Gögelein, E.N.E. van Dalen, Kh. Gad, Kh.S.A. Hassaneen, H. Müther, Phys. Rev. C 79, 024308 (2009)ADSCrossRefGoogle Scholar
  23. 23.
    P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)ADSCrossRefGoogle Scholar
  24. 24.
    J. Antoniadis et al., Science 340, 6131 (2013)ADSCrossRefGoogle Scholar
  25. 25.
    E. Fonseca, arXiv:1603.00545 (2016)
  26. 26.
    B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)Google Scholar
  27. 27.
    S.F. Ban, J. Li, S.Q. Zhang, H.Y. Jia, J.P. Sang, J. Meng, Phys. Rev. C 69, 045805 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    S. Lawley, W. Bentz, A.W. Thomas, Nucl. Phys. Proc. Suppl. 141, 29 (2005)ADSCrossRefGoogle Scholar
  29. 29.
    J.R. Stone, J.C. Miller, R. Koncewicz, P.D. Stevenson, M.R. Strayer, Phys. Rev. C 68, 034324 (2003)ADSCrossRefGoogle Scholar
  30. 30.
    M. Dutra, O. Lourenço, J.S. Sá Martins, A. Delfino, J.R. Stone, P.D. Stevenson, Phys. Rev. C 85, 035201 (2012)ADSCrossRefGoogle Scholar
  31. 31.
    P.D. Stevenson, P.M. Goddard, J.R. Stone, M. Dutra, AIP Conf. Proc. 1529, 262 (2013)ADSCrossRefGoogle Scholar
  32. 32.
    R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, R1483 (1996)ADSCrossRefGoogle Scholar
  33. 33.
    R. Machleidt, Phys. Rev. C 63, 024001 (2001)ADSCrossRefGoogle Scholar
  34. 34.
    T. Frick, Kh. Gad, H. Müther, P. Czerski, Phys. Rev. C 65, 034321 (2002)ADSCrossRefGoogle Scholar
  35. 35.
    T. Frick, Kh.S.A. Hassaneen, D. Rohe, H. Müther, Phys. Rev. C 70, 024309 (2004)ADSCrossRefGoogle Scholar
  36. 36.
    Kh.S.A. Hassaneen, H. Müther, Phys. Rev. C 70, 054308 (2004)ADSCrossRefGoogle Scholar
  37. 37.
    M. Baldo, A. Shaban, Phys. Lett. B 661, 373 (2008)ADSCrossRefGoogle Scholar
  38. 38.
    Kh. Gad, Kh.S.A. Hassaneen, Nucl. Phys. A 793, 67 (2007)ADSCrossRefGoogle Scholar
  39. 39.
    Kh.S.A. Hassaneen, Kh. Gad, J. Phys. Soc. Jpn. 77, 084201 (2008)ADSCrossRefGoogle Scholar
  40. 40.
    H. Mansour, Kh. Gad, Kh.S.A. Hassaneen, Prog. Theor. Phys. 123, 687 (2010)ADSCrossRefGoogle Scholar
  41. 41.
    M. Baldo, I. Bombaci, G.F. Burgio, Astron. Astrophys. 328, 274 (1997)ADSGoogle Scholar
  42. 42.
    E. Khan, J. Margueron, arXiv:1304.4721v1 (2013)
  43. 43.
    J.R. Stone, N.J. Stone, S.A. Moszkowski, Phys. Rev. C 89, 044316 (2014)ADSCrossRefGoogle Scholar
  44. 44.
    H. Müther, A. Polls, Prog. Part. Nucl. Phys. 45, 243 (2000)ADSCrossRefGoogle Scholar
  45. 45.
    J.P. Jeukenne, A. Lejeunne, C. Mahaux, Phys. Rep. 25, 83 (1976)ADSCrossRefGoogle Scholar
  46. 46.
    Kh.S.A. Hassaneen, H.M. Abo-Elsebaa, E.A. Sultan, H.M.M. Mansour, Ann. Phys. 326, 566 (2011)ADSCrossRefGoogle Scholar
  47. 47.
    H.M.M. Mansour, Kh.S.A. Hassaneen, Phys. At. Nucl. 77, 290 (2014)CrossRefGoogle Scholar
  48. 48.
    E. Schiller, H. Müther, P. Czerski, Phys. Rev. C 59, 2934 (1999) 60ADSCrossRefGoogle Scholar
  49. 49.
    P. Grangé, J. Cugnon, A. Lejeune, Nucl. Phys. A 473, 365 (1987)ADSCrossRefGoogle Scholar
  50. 50.
    D.S. Koltun, Phys. Rev. C 9, 484 (1974)ADSCrossRefGoogle Scholar
  51. 51.
    I. Bombaci, U. Lombardo, Phys. Rev. C 44, 1892 (1991)ADSCrossRefGoogle Scholar
  52. 52.
    P.G. Krastev, F. Sammarruca, Phys. Rev. C 74, 025808 (2006)ADSCrossRefGoogle Scholar
  53. 53.
    P.E. Haustein, At. Data Nucl. Data Tables 39, 185 (1988)ADSCrossRefGoogle Scholar
  54. 54.
    A.W. Steiner, J.M. Lattimer, E.F. Brown, Eur. Phys. J. A 52, 18 (2016)ADSCrossRefGoogle Scholar
  55. 55.
    A. Rios, A. Polls, I. Vidaña, Phys. Rev. C 79, 025802 (2009)ADSCrossRefGoogle Scholar
  56. 56.
    R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995)ADSCrossRefGoogle Scholar
  57. 57.
    J. Carlson, V.R. Pandharipande, R.B. Wiringa, Nucl. Phys. A 401, 59 (1983)ADSCrossRefGoogle Scholar
  58. 58.
    Private communication with Professor M. BaldoGoogle Scholar
  59. 59.
    P. Bonche, D. Vautherin, Nucl Phys. A 372, 496 (1981)ADSCrossRefGoogle Scholar
  60. 60.
    E.N.E. van Dalen, P. Gögelein, H. Müther, Phys. Rev. C 80, 044312 (2009)ADSCrossRefGoogle Scholar
  61. 61.
    J.M. Lattimer, B.F. Schutz, Astrophys. J. 629, 979 (2005)ADSCrossRefGoogle Scholar
  62. 62.
    D. Blaschke, D. E. Alvarez-Castillo, T. Klähn, arXiv:1604.08575 [nucl-th]
  63. 63.
    J.M. Lattimer, Y. Lim, Astrophys. J. 771, 51 (2013)ADSCrossRefGoogle Scholar
  64. 64.
    J.M. Lattimer, C.J. Pethick, M. Prakash, P. Haensel, Phys. Rev. Lett. 66, 2701 (1991)ADSCrossRefGoogle Scholar
  65. 65.
    P. Danielewicz, R. Lacey, W.G. Lynch, Science 298, 1592 (2002)ADSCrossRefGoogle Scholar
  66. 66.
    M. Prakash, T.L. Ainsworth, J.M. Lattimer, Phys. Rev. Lett. 61, 2518 (1988)ADSCrossRefGoogle Scholar
  67. 67.
    Xuejun Wu, H. Müther, M. Soffel, H. Herold, H. Ruder, Astron. Astrophys. 246, 411 (1991)ADSGoogle Scholar
  68. 68.
    F. Hofmann, C.M. Keil, H. Lenske, Phys. Rev. C 64, 025804 (2001)ADSCrossRefGoogle Scholar
  69. 69.
    Z.H. Li, H.J. Schulze, Phys. Rev. C 78, 028801 (2008)ADSCrossRefGoogle Scholar
  70. 70.
    Ch.C. Moustakidis, Phys. Rev. C 91, 035804 (2015)ADSCrossRefGoogle Scholar
  71. 71.
    S. Gandolfi, A. Gezerlis, J. Carlson, Annu. Rev. Nucl. Part. Sci 65, 303 (2015)ADSCrossRefGoogle Scholar
  72. 72.
    G. Baym, C. Pethick, D. Sutherland, Astrophys. J. 170, 299 (1971)ADSCrossRefGoogle Scholar
  73. 73.
    J.W. Negele, D. Vautherin, Nucl. Phys. A 207, 298 (1973)ADSCrossRefGoogle Scholar
  74. 74.
    T. Güver, F. Özel, Astrophys. J. 765, L1 (2013)ADSCrossRefGoogle Scholar
  75. 75.
    B.K. Sharma, M. Centelles, X. Vinas, M. Baldo, G.F. Burgio, Astron. Astrophys. 584, A103 (2015)ADSCrossRefGoogle Scholar
  76. 76.
    M. Dutra, O. Lourenço, D.P. Menezes, Phys. Rev. C 93, 025806 (2016) 94ADSCrossRefGoogle Scholar
  77. 77.
    M. Dutra, O. Lourenço, S.S. Avancini, B.V. Carlson, A. Delfino, D.P. Menezes, C. Providencia, S. Typel, J.R. Stone, Phys. Rev. C 90, 055203 (2014)ADSCrossRefGoogle Scholar
  78. 78.
    L. Engvik, E. Osnes, M. Hjorth-Jensen, G. Bao, E. Ostgaard, Astrophys. J. 469, 794 (1996)ADSCrossRefGoogle Scholar
  79. 79.
    W. Zuo, I. Bombaci, U. Lombardo, Eur. Phys. J. A 50, 12 (2014)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Physics Department, Faculty of ScienceSohag UniversitySohagEgypt
  2. 2.Physics Department, Faculty of ScienceTaif UniversityTaifSaudi Arabia

Personalised recommendations