Magnetic Susceptibilities of Dense Superfluid Neutron Matter with Generalized Skyrme Forces and Spin-Triplet Pairing at Zero Temperature

  • A. N. Tarasov Akhiezer Institute for Theoretical Physics, National Science Center “Kharkiv Institute of Physics and Technology”, Nat. Acad. of Sci. of Ukraine
Keywords: dense superfluid neutron matter, Skyrme forces, spin-triplet pairing


Magnetic properties of a dense superfluid neutron matter (relevant to the physics of neutron star cores) at subnuclear and supranuclear densities (in the range 0.5 < n=n0 < 3.0, where n0 = 0.17 (fm^-3) is the saturation nuclear density) with the so-called generalized Skyrme effective forces BSk18, BSk19, BSk20, BSk21 (containing additional unconventional density-dependent terms) and with spin-triplet p-wave pairing (with spin S = 1 and orbital moment L = 1) in the presence of a strong magnetic field are studied within the framework of the non-relativistic generalized Fermi-liquid theory at zero temperature. The upper limit for the density range of a neutron matter is restricted by the magnitude 3n0 in order to avoid the account of relativistic corrections growing with density. The general formula obtained in [1] (valid for any parametrization of the Skyrme forces) for the magnetic susceptibility of a superfluid neutron matter at zero temperature is specified here for the new BSk18-BSk21 parametrizations of the Skyrme interaction. As is known, all previous conventional Skyrme interactions predict spin instabilities in a normal (nonsuperfluid) neutron matter beyond the saturation nuclear density. It is obtained in the present work that, for the model of superfluid neutron matter with new generalized BSk18-BSk21 parametrizations, such phase transition to the ferromagnetic state occurs neither at subnuclear nor at supranuclear densities. Thus, the high-density ferromagnetic instability is removed in the neutron matter with new generalized Skyrme forces BSk18-BSk21 not only in normal, but also in superfluid states with anisotropic spin-triplet pairing.


  1. A.N. Tarasov, Ukr. J. Phys. 55, 644 (2010).

  2. A.N. Tarasov, Centr. Eur. J. Phys. 9, 1057 (2011).

  3. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaeffer, Nucl. Phys. A 627, 710 (1997).

  4. J. Friedrich and P.-G. Reinhard, Phys. Rev. C 33, 335 (1986).

  5. M. Rayet, M. Arnould, F. Tondeur, and G. Paulus, Astron. Astrophys. 116, 183 (1982).

  6. J.R. Stone, J.C. Miller, R. Koncewicz, P.D. Stevenson, and M.R. Strayer, Phys. Rev. C 68, 034324 (2003).

  7. M. Dutra, O. Lourenco, J.S. Sa Martins, A. Delfino, J.R. Stone, and P.D. Stevenson, Phys. Rev. C 85, 035201 (2012).

  8. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. Suppl. 112, 27 (1993).

  9. A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975).

  10. D. Vollhardt and P. Wolfle, The Superfluid Phases of Helium 3 (Taylor and Francis, London, 1990).

  11. AIP Conf. Proc. 983 (2008), 40 Years of Pulsars: Millisecond Pulsars, Magnetars and More, edited by C. Bassa, Z. Wang, A, Cumming, V.M. Kaspi (McGill Univ., Montreal, 2008).

  12. R.C. Duncan and Ch. Thompson, Astrophys. J. 392, L9 (1992).

  13. Ch. Thompson and R.C. Duncan, Astrophys. J. 408, 194 (1993).

  14. C. Kouveliotou et al., Nature 393, 235 (1998).

  15. S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1983).

  16. P. Haensel, A.Y. Potekhin, and D.G. Yakovlev, Neutron Stars 1, Equation of State and Structure (Springer, New York, 2007).

  17. D.G. Yakovlev, K.P. Levenfish, and Yu.A. Shibanov, Uspekhi Fiz. Nauk, 169, 825 (1999).

  18. U. Lombardo and H.-J. Schulze, in Physics of Neutron Stars Interiors, edited by D. Blaschke et al. (Springer, New York, 2001), p. 30.

  19. A.N. Tarasov, J. Phys.: Conf. Ser. 400, 032101 (2012).

  20. N. Chamel, S. Goriely, and J.M. Pearson, Phys. Rev. C 80, 065804 (2009).

  21. N. Chamel, S. Goriely, and J.M. Pearson, Phys. Rev. C 82, 035804 (2010).

  22. A.I. Akhiezer, V.V. Krasil'nikov, S.V. Peletminskii, and A.A. Yatsenko, Phys. Rep. 245, 1 (1994).

  23. A. Vidaurre, J. Navarro, and J. Bernabeu, Astron. Astrophys. 135, 361 (1984).

  24. M. Kutschera and W. Wojcik, Phys. Lett. B 325, 271 (1994).

  25. J. Margueron, J. Navarro, and N.V. Giai, Phys. Rev. C 66, 014303 (2002).

  26. S. Fantoni, A. Sarsa, and K.E. Schmidt, Phys. Rev. Lett. 87, 181101 (2001).

  27. I. Vidana, A. Polls, and A. Ramos, Phys. Rev. C 65, 035804 (2002).

  28. I. Vidana and I. Bombaci, Phys. Rev. C 66, 045801 (2002).

  29. A. Rios, A. Polls, and I. Vidana, Phys. Rev. C 71, 055802 (2005).

  30. I. Bombaci, A. Polls, A. Ramos, A. Rios, and I. Vidana, Phys. Lett. B 632, 638 (2006).

  31. M.A. Perez-Garcia, Phys. Rev. C 77, 065806 (2008).

  32. M.A. Perez-Garcia, J. Navarro, and A. Polls, Phys. Rev. C 80, 025802 (2009).

  33. A.A. Isayev and J. Yang, Phys. Rev. C 80, 065801 (2009).

  34. S. Goriely, N. Chamel, and J.M. Pearson, Phys. Rev. Lett. 102, 152503 (2009).

  35. A.N. Tarasov, Low Temp. Phys. 24, 324 (1998); 26, 785 (2000).

  36. A.N. Tarasov, J. Probl. Atom. Sci. Techn. No. 6(2), 356 (2001).

  37. V.P. Mineev, Uspekhi Fiz. Nauk 139, 303 (1983).

  38. T. Tatsumi and K. Sato, Phys. Lett. B 663, 322 (2008).

  39. G.E. Brown, C.-H. Lee, and M. Rho, Phys. Rep. 462, 1 (2008).

  40. M.G. Alford, A. Schmitt, K. Rajagopal, and T. Sch¨afer, Rev. Mod. Phys. 80, 1455 (2008).

  41. K. Sato and T. Tatsumi, Nucl. Phys. A 826, 74 (2009). V.P. Neznamov and A.J. Silenko, J. Math. Phys. 50, 122302 (2009).

How to Cite
Tarasov, A. (2018). Magnetic Susceptibilities of Dense Superfluid Neutron Matter with Generalized Skyrme Forces and Spin-Triplet Pairing at Zero Temperature. Ukrainian Journal of Physics, 58(7), 611.
Fields and elementary particles