HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 122 (2009) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 122 No. 3 (2009) pp. 673-691

[ Full Text PDF : FREE ACCESS (597K) ]

Nonuniform Matter in Neutron Star Crusts Studied by the Variational Method with Thomas-Fermi Calculations

Hiroaki Kanzawa,1 Masatoshi Takano,1,2 Kazuhiro Oyamatsu3, and Kohsuke Sumiyoshi4

1Department of Physics, Science and Engineering, Waseda University,
Tokyo 169-8555, Japan
2Research Institute for Science and Engineering, Waseda University,
Tokyo 169-8555, Japan
3Department of Media Theories and Production, Aichi Shukutoku University,
Nagakute-cho, Aichi 480-1197, Japan
4Numazu College of Technology, Numazu 410-8501, Japan

(Received March 31, 2009)

Abstract:

The equation of state (EOS) for neutron star (NS) crusts is studied in the Thomas-Fermi (TF) approximation using the EOS for uniform nuclear matter obtained by the variational method with the realistic nuclear Hamiltonian. The parameters associated with the nuclear three-body force, which are introduced to describe the saturation properties, are finely adjusted so that the TF calculations for isolated atomic nuclei reproduce the experimental data on masses and charge distributions satisfactorily. The resulting root-mean-square deviation of the masses from the experimental data for mass-measured nuclei is about 3 MeV. With the use of the nuclear EOS thus obtained, the nuclear species in the NS crust at zero temperature are determined. The predicted proton numbers of the nuclei in the NS crust are close to the gross behavior of the results obtained by Negele and Vautherin, while they are larger than those for the EOS obtained by Shen et al. owing to the difference in the symmetry energy. The density profile of NS is calculated with the constructed EOS.

Subject Index : 204, 210, 241, 421, 423
URL : http://ptp.ipap.jp/link?PTP/122/673/
DOI : 10.1143/PTP.122.673

[ Full Text PDF : FREE ACCESS (597K) ] Citation:

References:

  1. K. Sumiyoshi, S. Yamada and H. Suzuki, Astrophys. J. 667 (2007), 382[CrossRef].
  2. K. Nakazato, K. Sumiyoshi and S. Yamada, Phys. Rev. D 77 (2008), 103006[APS].
  3. K. Sumiyoshi, C. Ishizuka, A. Ohnishi, S. Yamada and H. Suzuki, Astrophys. J. 690 (2009), L43[IoP STACKS].
  4. J. M. Lattimer and F. D. Swesty, Nucl. Phys. A 535 (1991), 331[CrossRef].
  5. H. Shen, H. Toki, K. Oyamatsu and K. Sumiyoshi, Nucl. Phys. A 637 (1998), 435[CrossRef]; Prog. Theor. Phys. 100 (1998), 1013[PTP].
  6. C. Ishizuka, A. Ohnishi, K. Tsubakihara, K. Sumiyoshi and S. Yamada, J. of Phys. G 35 (2008), 085201[CrossRef].
  7. H. Kanzawa, K. Oyamatsu, K. Sumiyoshi and M. Takano, Nucl. Phys. A 791 (2007), 232[CrossRef].
  8. A. Akmal, V. R. Pandharipande and D. G. Ravenhall, Phys. Rev. C 58 (1998), 1804[APS].
  9. K. E. Schmidt and V. R. Pandharipande, Phys. Lett. B 87 (1979), 11[CrossRef].
  10. A. Mukherjee and V. R. Pandharipande, Phys. Rev. C 75 (2007), 035802[APS].
  11. B. Friedman and V. R. Pandharipande, Nucl. Phys. A 361(1981), 502[CrossRef].
  12. A. Rios, A. Polls, A. Ramos and H. Muther, Phys. Rev. C 78 (2008), 044314, [APS]and references therein.
  13. S. C. Pieper, V. R. Pandharipande and R. B. Wiringa, Phys. Rev. C 64 (2001), 014001[APS].
  14. M. Baldo and C. Maieron, J. of Phys. G 34 (2007), R243, [CrossRef]and references therein.
  15. S. Gandolfi, F. Pederiva, S. Fantoni and K. E. Schmidt, Phys. Rev. Lett. 98 (2007), 102503[APS].
    A. Sarsa, S. Fantoni, K. E. Schmidt and F. Pederiva, Phys. Rev. C 68 (2003), 024308[APS].
    J. Carlson, J. Morales Jr., V. R. Pandharipande and D. G. Ravenhall, Phys. Rev. C 68 (2003), 025802[APS].
  16. K. Oyamatsu, Nucl. Phys. A 561 (1993), 431[CrossRef].
  17. K. Oyamatsu and K. Iida, Prog. Theor. Phys. 109 (2003), 631[PTP].
  18. K. Oyamatsu and K. Iida, Phys. Rev. C 75 (2005), 015801[APS].
  19. I. E. Lagaris and V. R. Pandharipande, Nucl. Phys. A 369 (1981), 470[CrossRef].
  20. M. Takano and M. Yamada, Prog. Theor. Phys. 116 (2006), 545[PTP].
  21. M. Takano et al., in preparation.
  22. L. R. B. Elton and A. Swift, Nucl. Phys. A 94 (1967), 52[CrossRef].
  23. G. Audi, A. H. Wapstra and C. Thibault, Nucl. Phys. A 729 (2003), 337[CrossRef].
  24. H. Koura, T. Tachibana, M. Uno and M. Yamada, Prog. Theor. Phys. 113 (2005), 305[PTP].
    H. Koura, M. Uno, T. Tachibana and M. Yamada, Nucl. Phys A 674 (2000), 47[CrossRef].
  25. H. de Vries, C. W. de Jager and C. de Vries, At. Data Nucl. Data Tables 36 (1987), 495.
  26. G. Baym, C. J. Pethick and P. Sutherland, Astrophys. J. 170 (1971), 299[CrossRef].
  27. J. W. Negele and D. Vautherin, Nucl. Phys. A 207 (1973), 298[CrossRef].
  28. H. Kanzawa, K. Oyamatsu, K. Sumiyoshi and M. Takano, AIP Conf. Proc. 1011 (2008), 287.

Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 63-68 :
    Variational Approach to Nuclear Matter
    Masatoshi Takano, Hajime Togashi and Hiroaki Kanzawa

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.