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.
Similar content being viewed by others
References
A. Bohr, B. R. Mottelson, and D. Pines, Phys. Rev. 110, 936 (1958).
L. N. Cooper, R. L. Mills, and A. M. Sessler, Phys. Rev. 114, 1377 (1959).
A. B. Migdal, Sov. Phys. JETP 10, 176 (1960).
V. L. Ginzburg and D. A. Kirzhnits, Sov. Phys. JETP 20, 1346 (1965).
D. Pines and M. Ali Alpar, Nature (London) 316, 27 (1985).
B. Haskell, P. M. Pizzochero, and S. Seveso, arXiv:1209.6260 [astro-ph.SR].
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).
D. G. Yakovlev and C. J. Pethick, Ann. Rev. Astron. Astrophys. 42, 169 (2004).
C. O. Heinke and W. C. G. Ho, Astrophys. J. Lett. 719, L167 (2010).
U. Lombardo and H.-J. Schulze, Lect. Notes Phys. 578, 30 (2001).
X.-R. Zhou, H.-J. Schulze, E.-G. Zhao, et al., Phys. Rev. C 70, 048802 (2004).
W. Zuo, Z. H. Li, G. C. Lu, et al., Phys. Lett. B 595, 44 (2004).
W. Zuo, C. X. Cui, U. Lombardo, and H.-J. Schulze, Phys. Rev. C 78, 015805 (2008).
P. J. Jeukenne, A. Lejeune, and C. Mahaux, Phys. Rep. 25, 83 (1976).
R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987).
P. Grangé, A. Lejeune, M. Martzolff, and J.-F. Mathiot, Phys. Rev. C 40, 1040 (1989).
Z. H. Li, U. Lombardo, H.-J. Schulze, and W. Zuo, Phys. Rev. C 77, 034316 (2008).
W. Zuo, I. Bombaci, and U. Lombardo, Phys. Rev. C 60, 024605 (1999).
M. Baldo, I. Bombaci, L. S. Ferreira, G. Giansiracusa, and U. Lombardo, Phys. Lett. B 209, 135 (1988).
Z. H. Li and U. Lombardo, Phys. Rev. C 78, 047603 (2008).
A. B. Migdal, Sov. Phys. JETP 5, 333 (1957); J. M. Luttinger, Phys. Rev. 119, 1153 (1960).
A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Interscience, London, 1967).
L. G. Cao, U. Lombardo, and P. Schuck, Phys. Rev. C 74, 064301 (2006).
I. Bombaci and U. Lombardo, Phys. Rev. C 44, 1892 (1991).
X. R. Zhou, G. F. Burgio, U. Lombardo, H.-J. Schulze, and W. Zuo, Phys. Rev. C 69, 018801 (2004).
J. M. Dong, U. Lombardo, and W. Zuo, Phys. Rev. C 87, 062801(R) (2013).
Peng Yin, Jian-Yang Li, Pei Wang, and Wei Zuo, Phys. Rev. C 87, 014314 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778814080055