Skip to main content
Log in

Superfluid states in β-stable nuclear matter

  • Elementary Particles and Fields
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Two superfluid states of nuclear matter, which are supposed to play an important role in neutron stars, are discussed: the first one due to the proton-proton 1 S 0 pairing in β-equilibrium nuclear matter; the second one due to the anisotropic neutron-neutron 3 PF 2 pairing in neutron matter. Since the two phases appear at high density of nuclear matter, the three-body forces were added to the pairing interaction and the strong correlation effects in the single-paricle spectrum. The energy gaps, obtained solving the extended BCS equations, significantly deviate from the values without medium effects so as to limit the role of these two superfluid states in the interpretation of phenomena occurring in the neutron-star core.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Bohr, B. R. Mottelson, and D. Pines, Phys. Rev. 110, 936 (1958).

    Article  ADS  Google Scholar 

  2. L. N. Cooper, R. L. Mills, and A. M. Sessler, Phys. Rev. 114, 1377 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  3. A. B. Migdal, Sov. Phys. JETP 10, 176 (1960).

    MathSciNet  Google Scholar 

  4. V. L. Ginzburg and D. A. Kirzhnits, Sov. Phys. JETP 20, 1346 (1965).

    Google Scholar 

  5. D. Pines and M. Ali Alpar, Nature (London) 316, 27 (1985).

    Article  ADS  Google Scholar 

  6. B. Haskell, P. M. Pizzochero, and S. Seveso, arXiv:1209.6260 [astro-ph.SR].

  7. D. Page, M. Prakash, J. M. Lattimer, and A. W. Steiner, Phys. Rev. Lett. 106, 081101 (2011); P. S. Shternin, D. G. Yakovlev, C. O. Heinke, et al., Mon. Not. R. Astron. Soc. 412, L108 (2011).

    Article  ADS  Google Scholar 

  8. D. G. Yakovlev and C. J. Pethick, Ann. Rev. Astron. Astrophys. 42, 169 (2004).

    Article  ADS  Google Scholar 

  9. C. O. Heinke and W. C. G. Ho, Astrophys. J. Lett. 719, L167 (2010).

    Article  ADS  Google Scholar 

  10. U. Lombardo and H.-J. Schulze, Lect. Notes Phys. 578, 30 (2001).

    Article  ADS  Google Scholar 

  11. X.-R. Zhou, H.-J. Schulze, E.-G. Zhao, et al., Phys. Rev. C 70, 048802 (2004).

    Article  ADS  Google Scholar 

  12. W. Zuo, Z. H. Li, G. C. Lu, et al., Phys. Lett. B 595, 44 (2004).

    Article  ADS  Google Scholar 

  13. W. Zuo, C. X. Cui, U. Lombardo, and H.-J. Schulze, Phys. Rev. C 78, 015805 (2008).

    Article  ADS  Google Scholar 

  14. P. J. Jeukenne, A. Lejeune, and C. Mahaux, Phys. Rep. 25, 83 (1976).

    Article  ADS  Google Scholar 

  15. R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987).

    Article  ADS  Google Scholar 

  16. P. Grangé, A. Lejeune, M. Martzolff, and J.-F. Mathiot, Phys. Rev. C 40, 1040 (1989).

    Article  ADS  Google Scholar 

  17. Z. H. Li, U. Lombardo, H.-J. Schulze, and W. Zuo, Phys. Rev. C 77, 034316 (2008).

    Article  ADS  Google Scholar 

  18. W. Zuo, I. Bombaci, and U. Lombardo, Phys. Rev. C 60, 024605 (1999).

    Article  ADS  Google Scholar 

  19. M. Baldo, I. Bombaci, L. S. Ferreira, G. Giansiracusa, and U. Lombardo, Phys. Lett. B 209, 135 (1988).

    Article  ADS  Google Scholar 

  20. Z. H. Li and U. Lombardo, Phys. Rev. C 78, 047603 (2008).

    Article  ADS  Google Scholar 

  21. A. B. Migdal, Sov. Phys. JETP 5, 333 (1957); J. M. Luttinger, Phys. Rev. 119, 1153 (1960).

    MathSciNet  Google Scholar 

  22. A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Interscience, London, 1967).

    Google Scholar 

  23. L. G. Cao, U. Lombardo, and P. Schuck, Phys. Rev. C 74, 064301 (2006).

    Article  ADS  Google Scholar 

  24. I. Bombaci and U. Lombardo, Phys. Rev. C 44, 1892 (1991).

    Article  ADS  Google Scholar 

  25. X. R. Zhou, G. F. Burgio, U. Lombardo, H.-J. Schulze, and W. Zuo, Phys. Rev. C 69, 018801 (2004).

    Article  ADS  Google Scholar 

  26. J. M. Dong, U. Lombardo, and W. Zuo, Phys. Rev. C 87, 062801(R) (2013).

    Article  ADS  Google Scholar 

  27. Peng Yin, Jian-Yang Li, Pei Wang, and Wei Zuo, Phys. Rev. C 87, 014314 (2013).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to U. Lombardo.

Additional information

The text was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dong, J.M., Lombardo, U. & Zuo, W. Superfluid states in β-stable nuclear matter. Phys. Atom. Nuclei 77, 1057–1062 (2014). https://doi.org/10.1134/S1063778814080055

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778814080055

Keywords

Navigation