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A theoretical study of the magnetically deformed inner crust matter of magnetars

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Abstract.

We have studied various physical properties of magnetically deformed atoms and the associated matter, replacing the atoms by the deformed Wigner-Seitz (WS) cells at the crustal region of strongly magnetized neutron stars (magnetars). A relativistic version of the Thomas-Fermi (TF) model in the presence of a strong magnetic field in cylindrical coordinates is used to study the properties of such matter.

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References

  1. R.C. Duncan, C. Thompson, Astrophys. J. Lett. 92, L9 (1992)

    Article  ADS  Google Scholar 

  2. C. Thompson, R.C. Duncan, Astrophys. J. 408, 194 (1993)

    Article  ADS  Google Scholar 

  3. C. Thompson, R.C. Duncan, Mon. Not. R. Astron. Soc. 275, 255 (1995)

    ADS  Google Scholar 

  4. C. Thompson, R.C. Duncan, Astrophys. J. 473, 322 (1996)

    Article  ADS  Google Scholar 

  5. P.M. Woods et al., Astrophys. J. Lett. 519, L139 (1999)

    Article  ADS  Google Scholar 

  6. C. Kouveliotou et al., Nature 391, 235 (1999)

    Google Scholar 

  7. K. Hurley et al., Astrophys. J. 442, L111 (1999)

    Article  ADS  Google Scholar 

  8. S. Mereghetti, L. Stella, Astrophys. J. 442, L17 (1999)

    Article  ADS  Google Scholar 

  9. J. van Paradihs, R.E. Taam, E.P.J. van den Heuvel, Astron. Astrophys. 299, L41 (1995)

    ADS  Google Scholar 

  10. S. Mereghetti, astro-ph/9911252

  11. See also A. Reisenegger, astro-ph/0103010

  12. See also S. Mereghetti, arXiv:0904.4880, for the current status on the observational aspects of magnetars

  13. See the review work by P. Haensel, A.Y. Potekhin, D.G. Yakovlev, Neutron Stars 1: Equation of State and Structure, Vol. 326 (Springer, 2007)

  14. Nandini Nag, Sutapa Ghosh, Somenath Chakrabarty, Ann. Phys. (N.Y.) 324, 499 (2009)

    Article  ADS  MATH  Google Scholar 

  15. Nandini Nag, Sutapa Ghosh, Somenath Chakrabarty, Eur. Phys. J. A 45, 99 (2010)

    Article  ADS  Google Scholar 

  16. Jon Eilif Skjervold, Erlend Ostgaard, Phys. Scr. 29, 484 (1984)

    Google Scholar 

  17. D. Lai, Rev. Mod. Phys. 73, 629 (2001)

    Article  ADS  Google Scholar 

  18. B.K. Shivamoggi, P. Mulser, Europhys. Lett. 22, 657 (1993)

    Article  ADS  Google Scholar 

  19. M. Rotondo, R. Ruffini, S.-S. Xue, arXiv:0903.4095

  20. M. Rotondo, J.A. Rueda, R. Ruffini, S.-S. Xue, arXiv:0911.4622

  21. Arpita Ghosh, Somenath Chakrabarty, in preparation

  22. S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars (John Wiley and Sons, New York, 1983)

  23. E.H. Lieb, B. Simon, Phys. Rev. Lett. 31, 681 (1973)

    Article  ADS  Google Scholar 

  24. E.H. Lieb, J.P. Solovej, J. Yngvason, Phys. Rev. Lett. 69, 749 (1992)

    Article  ADS  Google Scholar 

  25. E.H. Lieb, Bull. Am. Math. Soc. 22, 1 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  26. R. Ruffini, Exploring the Universe, a Festschrift in honour of Riccardo Giacconi, edited by H. Gursky, R. Rufini, L. Stella, Adv. Ser. Astrophys. Cosmol., Vol. 13 (World Scientific, 2000) p. 383

  27. R. Ruffini, Int. J. Mod. Phys. 5, 507 (1996)

    ADS  Google Scholar 

  28. M. Ruderman, Phys. Rev. Lett. 27, 1306 (1971)

    Article  ADS  Google Scholar 

  29. R.O. Mueller, A.R.P. Rau, Larry Spruch, Phys. Rev. Lett. 26, 1136 (1971)

    Article  ADS  Google Scholar 

  30. M. Abramowitz, I.A. Stegun (Editors), Handbook of Mathematical Functions (Dover Publication, Inc., New York, 1970)

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Communicated by Bo-Qiang Ma

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Ghosh, A., Chakrabarty, S. A theoretical study of the magnetically deformed inner crust matter of magnetars. Eur. Phys. J. A 47, 56 (2011). https://doi.org/10.1140/epja/i2011-11056-9

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  • DOI: https://doi.org/10.1140/epja/i2011-11056-9

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