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Superfluidity and Superconductivity in Neutron Stars

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Abstract

Neutron stars, the compact stellar remnants of core-collapse supernova explosions, are unique cosmic laboratories for exploring novel phases of matter under extreme conditions. In particular, the occurrence of superfluidity and superconductivity in neutron stars will be briefly reviewed.

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Notes

  1. The high temperatures \({\sim }10^7\) K prevailing in neutron star interiors prevent the formation of electron pairs recalling that the highest critical temperatures of terrestrial superconductors do not exceed \({\sim }200\) K. In particular, iron expected to be present in the outermost layers of a neutron star was found to be superconducting in 2001, but with a critical temperature \(T_{\mathrm{c}}\simeq 2\) K (Shimizu et al. 2001). See also Ginzburg (1969).

  2. A given channel is denoted by \(^{2S+1}L_J\), where J is the total angular momentum, L is the orbital angular momentum, and S the spin of nucleon pair.

References

  • Abo-Shaeer, J. R., Raman, C., Vogels, J. M., Ketterle, W. 2001, Science, 292, 476.

    Article  ADS  Google Scholar 

  • Abrikosov, A. A. 1957, Sov. Phys. JETP, 5, 1174.

    Google Scholar 

  • Akbal O., Gügercinoğlu, E., Şaşmaz Muş, S., Alpar, M. A. 2015, Mon. Not. R. Astron. Soc., 449, 933.

    Article  ADS  Google Scholar 

  • Alford, M. G., Schmitt, A., Rajagopal, K., Schäfer, T. 2008, Rev. Mod. Phys., 80, 1455.

    Article  ADS  Google Scholar 

  • Alpar, M. A. 2005, in: The Electromagnetic Spectrum of Neutron Stars, edited by A. Baykal, S. K. Yerli, S. C. Inam & S. Grebenev, NATO Science Series II, Mathematics, Physics and Chemistry, 210, Springer, Dordrecht, p. 33.

  • Alpar, M. A. 2011, AIP Conf. Proc., 1379, 166.

    Article  ADS  Google Scholar 

  • Alpar, M. A., Baykal, A. 2006, Mon. Not. Roy. Astron. Soc., 372, 489.

    Article  ADS  Google Scholar 

  • Alpar, M. A., Langer, S. A., Sauls, J. A. 1984, Astrophys. J., 282, 533.

    Article  ADS  Google Scholar 

  • Alpar, M. A., Chau, H. F., Cheng, K. S., Pines, D. 1993, Astrophys. J., 409, 345.

    Article  ADS  Google Scholar 

  • An, Hongjun et al. 2014, Astrophys. J., 790, 60.

    Article  ADS  Google Scholar 

  • Anderson, P. W., Itoh, N. 1975, Nature, 256, 25.

    Article  ADS  Google Scholar 

  • Anderson, M. H., Ensher, J. R., Matthews, M. R., Wieman, C. E., Cornell, E. A. 1995, Science, 269, 198.

    Article  ADS  Google Scholar 

  • Andersson, N., Comer, G. L. 2006, Classical Quant. Grav. 23, 5505.

    Article  ADS  Google Scholar 

  • Andersson, N., Comer, G. L. 2007, Living Rev. Relativity, 10, 1.

    Article  ADS  Google Scholar 

  • Andersson, N., Glampedakis, K., Ho, W. C. G., Espinoza, C. M. 2012, Phys. Rev. Lett., 109, 241103.

    Article  ADS  Google Scholar 

  • Andreev, A. F., Bashkin, E. P. 1976, Sov. Phys. JETP, 42, 164.

    ADS  Google Scholar 

  • Baldo, M., Schulze, H.-J. 2007, Phys. Rev. C, 75, 025802.

    Article  ADS  Google Scholar 

  • Baldo, M., Elgarøy, Ø., Engvik, L., Hjorth-Jensen, M., Schulze, H.-J. 1998, Phys. Rev. C, 58, 1921.

    Article  ADS  Google Scholar 

  • Balibar, S. 2014, in: History of Artificial Cold, Scientific, Technological and Cultural Issues, Boston Studies in the Philosophy and History of Science, 299, Springer, p. 93.

  • Balibar, S. 2007, J. Low Temp. Phys., 146, 441.

    Article  ADS  Google Scholar 

  • Bardeen, J., Cooper, L. N., Schrieffer, J. R. 1957, Phys. Rev., 108, 1175.

    Article  ADS  MathSciNet  Google Scholar 

  • Basilico, D., Arteaga, D. P., Roca-Maza, X.; Colò, G. 2015, Phys. Rev. C, 92, 035802.

    Article  ADS  Google Scholar 

  • Baym, G., Pethick, C. J., Pines, D., 1969a, Nature, 224, 673.

    Article  ADS  Google Scholar 

  • Baym, G., Pethick, C. J., Pines, D., Ruderman, M. 1969, Nature, 224, 872.

    Article  ADS  Google Scholar 

  • Baym, G., Pethick, C. J., Pines, D., 1969b, Nature, 224, 674.

    Article  ADS  Google Scholar 

  • Bekarevich, I., Khalatnikov, I. 1961, Sov. Phys. JETP, 13, 643.

    Google Scholar 

  • Bhattacharya, D. 2002, J. Astrophys. Astr., 23, 67.

    Article  ADS  Google Scholar 

  • Blaschke, D., Grigorian, H., Voskresensky, D. N. 2013, Phys. Rev. C, 88, 065805.

    Article  ADS  Google Scholar 

  • Bogoliubov, N. N. 1958, Dokl. Ak. Nauk SSSR, 119, 52.

    Google Scholar 

  • Bonanno, A., Baldo, M., Burgio, G. F., Urpin, V. 2014, Astron. Astrophys., 561, L5.

    Article  ADS  Google Scholar 

  • Bose, S. N. 1924, Z. Phys., 26, 178.

    Article  ADS  Google Scholar 

  • Brown, E. F., Cumming, A. 2009, Astrophys. J., 698, 1020.

    Article  ADS  Google Scholar 

  • Broglia, R. A., Zelevinsky, V. (eds) 2013, Fifty Years of Nuclear BCS: Pairing in Finite Systems, World Scientific Publishing Co. Pte. Ltd.

  • Bulgac, A., Forbes, M. M., Sharma, R. 2013, Phys. Rev. Lett., 110, 241102.

    Article  ADS  Google Scholar 

  • Cao, L. G., Lombardo, U., Schuck, P. 2006, Phys. Rev. C, 74, 064301.

    Article  ADS  Google Scholar 

  • Carter, B. 1989, in: Relativistic fluid dynamics, Springer-Verlag, p. 1.

  • Carter, B. 2000, in: Topological Defects and the Non-equilibrium Dynamics of Symmetry Breaking Phase Transitions, edited by Y. M. Bunkov & H. Godfrin, Springer, New York, p. 267.

  • Carter, B. 2001, in: Lecture Notes in Physics, 578, edited by D. Blaschke, N. K. Glendenning & A. Sedrakian, Springer, p. 54.

  • Carter, B. 1975, Ann. Phys., 95, 53.

    Article  ADS  Google Scholar 

  • Carter, B., Chachoua, E. 2006, Int. J. Mod. Phys. D, 15, 1329.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N. 2004, Int. J. Mod. Phys. D, 13, 291.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N. 2005a, Int. J. Mod. Phys. D, 14, 717.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N. 2005b, Int. J. Mod. Phys. D, 14, 749.

    Article  ADS  Google Scholar 

  • Carter, B., Khalatnikov, I. M. 1994, Rev. Math. Phys., 6, 277.

    Article  MathSciNet  Google Scholar 

  • Carter, B., Samuelsson, L. 2006, Classical Quant. Grav., 23, 5367.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N., Haensel, P. 2005, Nucl. Phys. A, 748, 675.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N., Haensel, P. 2005, Nucl. Phys. A, 759, 441.

  • Carter, B., Chachoua, E., Chamel, N. 2006, Gen. Rel. Grav., 38, 83.

    Article  ADS  Google Scholar 

  • Carter, B., Chamel, N., Haensel, P. 2006, Int. J. Mod. Phys. D, 15, 777.

    Article  ADS  Google Scholar 

  • Chamel, N., Goriely, S., Pearson, J. M. 2013, in: Fifty Years of Nuclear BCS: Pairing in Finite Systems, edited by R. A. Broglia & V. Zelevinsky, World Scientific Publishing Co. Pte. Ltd., pp. 284–296.

  • Chamel, N., Haensel, P. 2008, Living Rev. Relativity, 11, 10; http://www.livingreviews.org/lrr-2008-10.

  • Chamel, N. 2015, in: Proceedings of The Modern Physics of Compact Stars 2015, PoS(MPCS2015)013.

  • Chamel, N. 2005, Nucl. Phys. A, 747, 109.

    Article  ADS  Google Scholar 

  • Chamel, N. 2006, Nucl. Phys. A, 773, 263.

    Article  ADS  Google Scholar 

  • Chamel, N. 2008, Mon. Not. R. Astron. Soc., 388, 737.

    Article  ADS  Google Scholar 

  • Chamel, N. 2012, Phys. Rev. C, 85, 035801.

    Article  ADS  Google Scholar 

  • Chamel, N. 2013, Phys. Rev. Lett., 110, 011101.

    Article  ADS  Google Scholar 

  • Chamel, N., Carter, B. 2006, Mon. Not. R. Astron. Soc., 368, 796.

    Article  ADS  Google Scholar 

  • Chamel, N., Haensel, P. 2006, Phys. Rev. C, 73, 045802.

    Article  ADS  Google Scholar 

  • Chamel, N., Naimi, S., Khan, E., Margueron, J. 2007, Phys. Rev. C, 75, 055806.

    Article  ADS  Google Scholar 

  • Chamel, N., Goriely, S., Pearson, J. M., Onsi, M. 2010, Phys. Rev. C, 81, 045804.

    Article  ADS  Google Scholar 

  • Chamel, N., Page, D., Reddy, S. 2013, Phys. Rev. C, 87, 035803.

    Article  ADS  Google Scholar 

  • Chamel, N., Stoyanov, Zh. K., Mihailov, L. M., Mutafchieva, Y. D., Pavlov, R. L., Velchev, Ch. J. 2015, Phys .Rev. C, 91, 065801.

    Article  ADS  Google Scholar 

  • Chamel, N., Pearson, J. M., Fantina, A. F., Ducoin, C., Goriely, S., Pastore, A. 2015, Acta Phys. Pol. B, 46, 349.

    Article  ADS  Google Scholar 

  • Chamel, N., Fantina, A. F., Zdunik, J.L., Haensel, P. 2015, Phys. Rev. C, 91, 055803.

    Article  ADS  Google Scholar 

  • Chamel, N., Mutafchieva, Y. D., Stoyanov, Zh K., Mihailov, L. M., Pavlov, R. L. 2016, J. Phys.: Conf. Ser., 724, 012034.

    Article  Google Scholar 

  • Chamel, N., Page, D., Reddy, S. 2016, J. Phys.: Conf. Ser., 665, 012065.

    Article  Google Scholar 

  • Chamel, N., Fantina, A. F., Pearson, J. M., Goriely, S. 2017, EPJ Web of Conferences, 137, 09001.

    Article  Google Scholar 

  • Charbonneau, J., Zhitnitsky, A. 2007, Phys. Rev. C, 76, 015801.

    Article  ADS  Google Scholar 

  • Chatterjee, D., Vidaña, I. 2016, Eur. Phys. J. A, 52, 29.

    Article  ADS  Google Scholar 

  • Chatterjee, D., Elghozi, T., Novak, J., Oertel, M. 2015, Mon. Rot. R. Astron. Soc., 447, 3785.

    Article  ADS  Google Scholar 

  • Chau, H. F., Cheng, K. S., Ding, K. Y. I 1992, Astrophys. J., 399, 213.

    Article  ADS  Google Scholar 

  • Datta, B., Alpar, M. A. 1993, Astron. Astrophys., 275, 210.

    ADS  Google Scholar 

  • Davis, K., Mewes, M.-O., Andrews, M. R., van Druten, N. J., Durfee, D. S., Kurn, D. M., Ketterle, W. 1995, Phys. Rev. Lett., 75, 3969.

    Article  ADS  Google Scholar 

  • Dean, D. J., Hjorth-Jensen, M. 2003, Rev. Mod. Phys., 75, 607.

    Article  ADS  Google Scholar 

  • Deaver, B., Fairbank, W. 1961, Phys. Rev. Lett., 7, 43.

    Article  ADS  Google Scholar 

  • Degenaar, N., Wijnands, R., Brown, E. F., Altamirano, D., Cackett, E. M., Fridriksson, J., Homan, J., Heinke, C. O., Miller, J. M., Pooley, D., Sivakoff, G. R. 2013, Astrophys. J., 775, 48.

    Article  ADS  Google Scholar 

  • Degenaar, N., Medin, Z., Cumming, A., Wijnands, R., Wolff, M. T., Cackett, E. M., Miller, J. M., Jonker, P. G., Homan, J., Brown, E. F. 2014, Astrophys. J., 791, 47.

    Article  ADS  Google Scholar 

  • Degenaar, N., Wijnands, R., Bahramian, A., Sivakoff, G. R., Heinke, C. O., Brown, E. F., Fridriksson, J. K., Homan, J., Cackett, E. M., Cumming, A., Miller, J. M., Altamirano, D., Pooley, D. 2015, Mon. Not. R. Astron. Soc., 451, 2071.

    Article  ADS  Google Scholar 

  • Delsate, T., Chamel, N., Gürlebeck, N., Fantina, A. F., Pearson, J. M., Ducoin, C. 2016, Phys. Rev. D, 94, 023008.

  • Deshpande, A. A., Ramachandran, R., Srinivasan, G. 1995, J. Astrophys. Astr., 16, 69.

    Article  ADS  Google Scholar 

  • Ding, D., Rios, A., Dussan, H., Dickhoff, W. H., Witte, S. J., Carbone, A., Polls, A. 2016, Phys. Rev. C, 94, 025802.

    Article  ADS  Google Scholar 

  • Doll, R., Näbauer, M. 1961, Phys. Rev. Lett., 7, 51.

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Drozdov, A. P., Eremets, M. I., Troyan, I. A., Ksenofontov, V., Shylin, S. I. 2015, Nature, 525, 73.

    Article  ADS  Google Scholar 

  • Duncan, R. C. 1998, Astrophys. J., 498, L45.

    Article  ADS  Google Scholar 

  • Einstein, A. 1925, Sitzungsberichte der Preussischen Akademie der Wissenschaften, 1, 3.

    Google Scholar 

  • Elshamouty, K. G., Heinke, C. O., Sivakoff, G. R., Ho, W. C. G., Shternin, P. S., Yakovlev, D. G., Patnaude, D. J., David, L. 2013, Astrophys. J., 777, 22.

  • Epstein, R. I. 1988, Astrophys. J., 333, 880.

    Article  ADS  Google Scholar 

  • Espinoza, C. M., Lyne, A. G., Stappers, B. W., Kramer, M. 2011, Mon. Not. Roy. Astron. Soc., 414, 1679; http://www.jb.man.ac.uk/pulsar/glitches.html

  • Fantina, A. F., Chamel, N., Mutafchieva, Y. D., Stoyanov, Zh. K., Mihailov, L. M., Pavlov, R. L. 2016, Phys .Rev. C, 93, 015801.

    Article  ADS  Google Scholar 

  • Feynman, R. P. 1955, Prog. Low Temp. Phys., 1, 17.

    Article  Google Scholar 

  • File, J., Mills, R. G. 1963, Phys. Rev. Lett., 10, 93.

    Article  ADS  Google Scholar 

  • Fortin, M., Grill, F., Margueron, J., Page, D., Sandulescu, N. 2010, Phys. Rev. C, 82, 065804.

    Article  ADS  Google Scholar 

  • Gabler, M., Cerdá-Durán, P., Stergioulas, N., Font, J. A., Müller, E. 2013, Phys. Rev. Lett., 111, 211102.

    Article  ADS  Google Scholar 

  • Gezerlis, A., Pethick, C. J., Schwenk, A. 2014, in: Novel Superfluids, Volume 2, edited by K. H. Bennemann & J. B. Ketterson, Oxford University Press, Chapter 22.

  • Ginzburg, V. L., Kirzhnits, D. A. 1964, Zh. Eksp. Teor. Fiz., 47, 2006; Sov. Phys. JETP. 20, 1346 (1965).

  • Ginzburg, V. L. 1969, J. Stat. Phys., 1, 3.

    Article  ADS  Google Scholar 

  • Glampedakis, K., Andersson, N., Jones, D. I. 2009, Mon. Not. R. Astron. Soc., 394 ,1908.

    Article  ADS  Google Scholar 

  • Gorter, C. J. 1955, Prog. Low Temp. Phys., 1, 1.

  • Gourgoulhon, E. 2006, EAS Publications Series, 21, 43.

    Article  Google Scholar 

  • Graber, V., Andersson, N., Hogg, M. 2017, Int. J. Mod. Phys. D, 26, 1730015.

  • Gügercinoğlu, E., Alpar, M. A. 2014, Astrophys. J., 788, L11.

    Article  ADS  Google Scholar 

  • Gusakov, M. E., Dommes, V. A. 2016, Phys. Rev. D, 94, 083006.

    Article  ADS  Google Scholar 

  • Gusakov, M. E., Haensel, P. 2005, Nucl. Phys. A., 761, 333.

    Article  ADS  Google Scholar 

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

    Book  Google Scholar 

  • Hall, H. E. 1960, Adv. Phys., 9, 89.

    Article  ADS  Google Scholar 

  • Hall, H. E., Vinen, W. F. 1956, Proc. R. Soc. A., 238, 215.

    Article  ADS  Google Scholar 

  • Harding, A. K. 2013, Frontiers of Physics, 8, 679.

    Article  Google Scholar 

  • Haskell, B. 2011, Phys. Rev. D, 83, 043006.

    Article  ADS  Google Scholar 

  • Haskell, B., Melatos, A. 2015, Int. J. Mod. Phys. D, 24, 1530008.

    Article  ADS  Google Scholar 

  • Haskell, B., Pizzochero, P. M., Sidery, T. 2012, Mon. Not. R. Astron. Soc., 420, 658.

    Article  ADS  Google Scholar 

  • Heinke, C. O., Ho, W. C. G. 2010, Astrophys. J., 719, L167.

    Article  ADS  Google Scholar 

  • Hess, G. B., Fairbank, W. M. 1967, Phys. Rev. Lett., 19, 216.

    Article  ADS  Google Scholar 

  • Hinkley, N., Sherman, J. A., Phillips, N. B., Schioppo, M., Lemke, N. D., Beloy, K., Pizzocaro, M., Oates, C. W., Ludlow, A. D. 2013, Science, 341, 1215.

    Article  ADS  Google Scholar 

  • Ho, W. C. G., Andersson, N. 2012, Nature Phys., 8, 787.

    Article  Google Scholar 

  • Ho, W. C. G., Espinoza, C. M., Antonopoulou, D., Andersson, N. 2015, Science Adv., 1, e1500578.

    Article  ADS  Google Scholar 

  • Ho, W. C. G., Elshamouty, K. G., Heinke, C. O., Potekhin, A. Y. 2015, Phys. Rev. C, 91, 015806.

    Article  ADS  Google Scholar 

  • Hoffberg, M., Glassgold, A. E., Richardson, R. W., Ruderman, M. 1970, Phys. Rev. Lett., 24, 775.

    Article  ADS  Google Scholar 

  • Horowitz, C. J., Berry, D. K., Briggs, C. M., Caplan, M. E., Cumming, A., Schneider, A. S. 2015, Phys. Rev. Lett., 114, 031102.

    Article  ADS  Google Scholar 

  • Kaminker, A. D., Yakovlev, D. G., Potekhin, A. Y., Shibazaki, N., Shternin, P. S., Gnedin, O. Y. 2007, Astrophys. Space Sci., 308, 423.

    Article  ADS  Google Scholar 

  • Kapitsa, P. 1938, Nature, 141, 74.

    Article  ADS  Google Scholar 

  • Keesom, W. H., Kok, J. A. 1932, Proc. Roy. Acad. Amsterdam, 35, 743.

    Google Scholar 

  • Kerr, M., Hobbs, G., Johnston, S., Shannon, R. M. 2016, Mon. Not. R. Astron. Soc., 455, 1845.

    Article  ADS  Google Scholar 

  • Kheto, A., Bandyopadhyay, D. 2014, Phys. Rev. D, 89, 023007.

    Article  ADS  Google Scholar 

  • Kirzhnits, D. A. 1970, Radiophys. Quantum Electron., 13, 1424.

    Article  ADS  Google Scholar 

  • Kreim, S., Hempel, M., Lunney, D., Schaffner-Bielich, J. 2013, Int. J. Mass Spec., 349-350, 63.

    Article  Google Scholar 

  • Landau, L. 1941, Phys. Rev., 60, 356.

    Article  ADS  Google Scholar 

  • Larson, M. B., Link, B. 2002, Mon. Not. R. Astron. Soc., 333, 613.

    Article  ADS  Google Scholar 

  • Leggett, A. J. 2006, Quantum Liquids: Bose Condensation and Cooper Pairing in Condensed-Matter Systems, Oxford University Press.

    Book  Google Scholar 

  • Link, B. 2003, Phys. Rev. Lett., 91, 101101.

    Article  ADS  Google Scholar 

  • Link, B. 2007, Astrophys. Space Sci., 308, 435.

    Article  ADS  Google Scholar 

  • Link, B., Epstein, R. I., Lattimer, J. M. 1999, Phys. Rev. Lett., 83, 3362.

    Article  ADS  Google Scholar 

  • Lombardo, U., Schulze, H.-J. 2001 in: Physics of Neutron Star Interiors, edited by D. Blaschke, N. K. Glendenning & A. Sedrakian, Springer, p. 30.

  • London, F. 1938, Nature, 141, 643.

    Article  ADS  Google Scholar 

  • Lyne, A. G., Pritchard, R. S., Shemar, S. L. 1995, J. Astrophys. Astr., 16, 179.

    Article  ADS  Google Scholar 

  • Machleidt, R. 2017, Int. J. Mod. Phys. E, 26, 1740018.

    Article  ADS  Google Scholar 

  • Magierski, P. 2004, Int. J. Mod. Phys. E, 13, 371.

    Article  ADS  Google Scholar 

  • Magierski, P., Bulgac, A. 2004, Acta Phys. Pol. B, 35, 1203.

    ADS  Google Scholar 

  • Magierski, P., Bulgac, A. 2004, Nucl. Phys. A, 738, 143.

    Article  ADS  Google Scholar 

  • Makishima, K., Enoto, T., Hiraga, J. S., Nakano, T., Nakazawa, K., Sakurai, S., Sasano, M., Murakami, H. 2014, Phys. Rev. Lett., 112, 171102.

    Article  ADS  Google Scholar 

  • Margueron, J., Sandulescu, N. 2012, in: Neutron Star Crust, edited by C. Bertulani & J. Piekarewicz, Nova Science Publishers, New York, p. 65.

  • Margueron, J., Khan, E. 2012, Phys. Rev. C, 86, 065801.

    Article  ADS  Google Scholar 

  • Martin, N., Urban, M. 2016, Phys. Rev. C, 94, 065801.

    Article  ADS  Google Scholar 

  • Maurizio, S., Holt, J. W., Finelli, P. 2014, Phys. Rev. C, 90, 044003.

    Article  ADS  Google Scholar 

  • Meissner, W., Ochsenfeld, R. 1933, Naturwissenschaften, 21, 787.

    Article  ADS  Google Scholar 

  • Melatos, A., Link, B. 2014, Mon. Not. R. Astron. Soc., 437, 21.

    Article  ADS  Google Scholar 

  • Mendell, G. 1991, Astrophys. J., 380, 515.

    Article  ADS  MathSciNet  Google Scholar 

  • Merritt, R. L., Cackett, E. M., Brown, E. F., Page, D., Cumming, A., Degenaar, N., Deibel, A., Homan, J., Miller, J. M., Wijnands, R. 2016, Astrophys. J., 833, 186.

    Article  ADS  Google Scholar 

  • Migdal, A. B. 1959, Nucl. Phys., 13, 655.

    Article  MathSciNet  Google Scholar 

  • Muslimov, A. G., Tsygan, A. I. 1985, Astrophys. Space Sci., 115, 43.

    Article  ADS  Google Scholar 

  • Negreiros, R., Schramm, S., Weber, F. 2013, Phys. Lett. B, 718, 1176.

    Article  ADS  Google Scholar 

  • Ng, C. Y., Kaspi, V. M. 2011, AIP Conf. Proc., 1379, 60.

    Article  ADS  Google Scholar 

  • Noda, T., Hashimoto, M., Yasutake, N., Maruyama, T., Tatsumi, T., Fujimoto, M. 2013, Astrophys. J., 765, 1.

    Article  ADS  Google Scholar 

  • Olausen, S. A., Kaspi, V. M. 2014, Astrophys. J. Suppl. Ser., 212, 6.

    Article  ADS  Google Scholar 

  • Onsager, L. 1949, Nuovo Cimento, 6, 249.

    Article  MathSciNet  Google Scholar 

  • Osheroff, D. D., Richardson, R. C., Lee, D. M. 1972, Phys. Rev. Lett., 28, 885.

    Article  ADS  Google Scholar 

  • Ouyed, R., Leahy, D., Koning, N. 2015, Res. Astron. Astrophys., 15, 483.

    Article  ADS  Google Scholar 

  • Page, D., Lattimer, J. M., Prakash, M. 2014, in: Novel Superfluids: volume 2, edited by K. H. Bennemann & J. B. Ketterson, Oxford University Press, p. 505.

  • Page, D., Reddy, S. 2012, in: Neutron Star Crust, edited by C. A. Bertulani & J. Piekarewicz, Nova Science Publishers, New York, p. 281.

  • Page, D., Prakash, M., Lattimer, J. M., Steiner, A. W. 2011, Phys. Rev. Lett., 106, 081101.

    Article  ADS  Google Scholar 

  • Pastore, A. 2015, Phys. Rev. C, 91, 015809.

    Article  ADS  Google Scholar 

  • Pastore, A., Margueron, J., Schuck, P., Viñas, X. 2013, Phys. Rev. C, 88, 034314.

    Article  ADS  Google Scholar 

  • Pearson, J. M., Goriely, S., Chamel, N. 2011, Phys. Rev. C, 83, 065810.

    Article  ADS  Google Scholar 

  • Peralta, C., Melatos, A., Giacobello, M., Ooi, A. 2006, Astrophys. J., 651, 1079.

    Article  ADS  Google Scholar 

  • Pétri, J. 2016, J. Plasma Phys., 82, 635820502.

    Article  Google Scholar 

  • Pili, A. G., Bucciantini, N., Del Zanna L. 2014, Mon. Not. R. Astron. Soc., 439, 3541.

    Article  ADS  Google Scholar 

  • Pines, D., Alpar, M. A. 1985, Nature, 316, 27.

    Article  ADS  Google Scholar 

  • Pizzochero, P. M., Antonelli, M., Haskell, B., Seveso, S., 2017, Nature Astronomy, 1, 0134.

    Article  ADS  Google Scholar 

  • Pons, J. A., Viganò, D., Rea, N. 2013, Nature Physics, 9, 431.

    Article  Google Scholar 

  • Posselt, B., Pavlov, G. G., Suleimanov, V., Kargaltsev, O. 2013, Astrophys. J., 779, 186.

  • Potekhin, A. Y., Pons, J. A., Page, D. 2015, Space Sci. Rev., 191, 239.

    Article  ADS  Google Scholar 

  • Prakash, M., Lattimer, J. M., Pons, J. A., Steiner, A. W., Reddy, S. 2001, in: Lecture Notes in Physics, 578, edited by D. Blaschke, N. K. Glendenning & A. Sedrakian, Springer, p. 364.

  • Prix. R. 2004, Phys. Rev. D, 69, 043001.

    Article  ADS  Google Scholar 

  • Prix, R. 2005, Phys. Rev. D, 71, 083006.

    Article  ADS  MathSciNet  Google Scholar 

  • Rea, N., Esposito, P., Turolla, R., Israel, G. L., Zane, S., Stella, L., Mereghetti, S., Tiengo, A., Götz, D., Göğüş, E., Kouveliotou, C. 2010, Science, 330, 944.

    Article  ADS  Google Scholar 

  • Regal, C. A., Greiner, M., Jin, D. S. 2004, Phys. Rev. Lett., 92, 040403.

    Article  ADS  Google Scholar 

  • Reppy, J. D., Depatie, D. 1964, Phys. Rev. Lett., 12, 187.

    Article  ADS  Google Scholar 

  • Rjabinin, J. N., Shubnikov, L. W. 1935a, Phys. Zeit. Swo. Union, 7, 122.

    Google Scholar 

  • Rjabinin, J. N., Shubnikov, L. W. 1935b, Nature, 135, 581.

    Article  ADS  Google Scholar 

  • Ruderman, M. 1995, J. Astrophys. Astr., 16, 207.

    Article  ADS  Google Scholar 

  • Ruderman, M., Zhu, T., Chen, K. 1998, Astrophys. J., 492, 267.

    Article  ADS  Google Scholar 

  • Samuelsson L., Andersson, N. 2007, Mon. Not. Roy. Astr. Soc., 374, 256.

    Article  ADS  Google Scholar 

  • Sauls, J. 1989, in: NATO Advanced Science Institutes (ASI) Series C, edited by H. Ögelman & E. P. J. van den Heuvel, NATO Advanced Science Institutes, Kluwer Academic/Plenum Press, New York, vol. 262, p. 457.

  • Schuck, P. 2014, J. Phys.: Conf. Series, 569, 012012.

    Article  Google Scholar 

  • Sedrakian, A., Clark, J. W. 2006, in: Pairing in Fermionic Systems, World Scientific Publishing, p. 135.

  • Sedrakian, A. 1996, Astrophys. Space Sci., 236, 267.

    Article  ADS  Google Scholar 

  • Sedrakian, A. 2010, Acta Phys. Polon. B: Proc. Suppl., 3, 669.

    Google Scholar 

  • Sedrakian, A. 2013, Astron. Astrophys., 555, L10.

    Article  ADS  Google Scholar 

  • Sedrakian, A. 2016, Eur. Phys. J. A, 52, 44.

    Article  ADS  Google Scholar 

  • Sedrakyan, D. M., Shakhabasyan, K. M. 1980, Astrofizika, 16, 727.

    ADS  Google Scholar 

  • Sharma, B. K., Centelles, M., Viñas, X., Baldo, M., Burgio, G. F. 2015, Astron. Astrophys., 584, A103.

    Article  ADS  Google Scholar 

  • Shimizu, K., Kimura, T., Furomoto, S., Takeda, K., Kontani, K., Onuki, Y., Amaya, K. 2001, Nature, 412, 316.

    Article  ADS  Google Scholar 

  • Shternin, P. S., Yakovlev, D. G., Haensel, P., Potekhin, A. Y. 2007, Mon. Not. R. Astron. Soc., 382, L43.

    Article  ADS  Google Scholar 

  • Shternin, P. S., Yakovlev, D. G., Heinke, C. O., Ho, W. C. G., Patnaude, D. J. 2011, Mon. Not. R. Astron. Soc., 412, L108.

    Article  ADS  Google Scholar 

  • Sidery, T., Passamonti, A., Andersson, N. 2010, Mon. Not. R. Astron. Soc., 405, 1061.

    ADS  Google Scholar 

  • Sourie, A., Oertel, M., Novak, J. 2016, Phys. Rev. D, 93, 083004.

    Article  ADS  MathSciNet  Google Scholar 

  • Sourie, A., Chamel, N., Novak, J., Oertel, M. 2017, Mon. Not. R. Astron. Soc., 464, 4641.

    Article  ADS  Google Scholar 

  • Srinivasan, G. 1997, in: Stellar Remnants, edited by G. Meynet & D. Schaerer, Springer-Verlag, p. 97.

  • Srinivasan, G., Bhattacharya, D., Muslimov, A. G., Tsygan, A. J. 1990, Current Science, 59, 31.

    ADS  Google Scholar 

  • Stein, M., Sedrakian, A., Huang, Xu-Guang, Clark, J. W. 2014, Phys. Rev. C, 90, 065804.

    Article  ADS  Google Scholar 

  • Stein, M., Sedrakian, A., Huang, Xu-Guang, Clark, J. W. 2016, Phys. Rev. C, 93, 015802.

    Article  ADS  Google Scholar 

  • Stella, L., DallOsso, S., Israel, G. L. 2005, Astrophys. J., 634, L165.

  • Tamagaki, R. 1970, Prog. Theor. Phys., 44, 905.

    Article  ADS  Google Scholar 

  • Taranto, G., Burgio, G. F., Schulze, H.-J. 2016, Mon. Not. R. Astron. Soc., 456, 1451.

    Article  ADS  Google Scholar 

  • Thompson, C., Duncan, R. C. 1992, Astrophys. J., 392, L9.

    Article  ADS  Google Scholar 

  • Tiengo, A. et al. 2013, Nature, 500, 312.

    Article  ADS  Google Scholar 

  • Tisza, L. 1938, Nature, 141, 913.

    Article  ADS  Google Scholar 

  • Tkachenko, V. K. 1966, Sov. Phys. JETP, 22, 1282.

    ADS  Google Scholar 

  • Tsakadze, J. S., Tsakadze, S. J. 1980, J. Low Temp. Phys., 39, 649.

    Article  ADS  Google Scholar 

  • Turlione, A., Aguilera, D. N., Pons, J. A. 2015, Astron. Astrophys., 577, A5.

    Article  ADS  Google Scholar 

  • Turolla, R., Zane, S., Watts, A. L. 2015, Rep. Prog. Phys., 78, 116901.

    Article  ADS  Google Scholar 

  • Utama, R., Piekarewicz, J., Prosper, H. B. 2016, Phys. Rev. C, 93, 014311.

    Article  ADS  Google Scholar 

  • van Delft, D., Kes, P. 2010, Phys. Today, 63, 9, 38

    Article  Google Scholar 

  • Vardanyan, G. A., Sedrakyan, D. M. 1981, Sov. Phys. JETP, 54, 919.

    Google Scholar 

  • Vietri, M., Stella, L., Israel, G. L. 2007, Astrophys. J., 661, 1089.

    Article  ADS  Google Scholar 

  • Warszawski, L., Melatos, A. 2013, Mon. Not. Roy. Astron. Soc., 428, 1911.

    Article  ADS  Google Scholar 

  • Watanabe, G., Maruyama, T. 2012, in: Neutron Star Crust, edited by C. Bertulani & J. Piekarewicz, Nova Science Publishers, p. 23.

  • Waterhouse, A. C., Degenaar, N., Wijnands, R., Brown, E. F., Miller, J. M., Altamirano, D., Linares, M. 2016, Mon. Not. R. Astron. Soc., 456, 4001.

    Article  ADS  Google Scholar 

  • Watts, A. L., Strohmayer, T. E. 2007, Adv. Space Res., 40, 1446.

    Article  ADS  Google Scholar 

  • Wigner, E. P., Seitz, F. 1933, Phys. Rev., 43, 804.

    Article  ADS  Google Scholar 

  • Wlazłowski, G., Sekizawa, K., Magierski, P., Bulgac, A., McNeil Forbes, M. 2016, Phys. Rev. Lett., 117, 232701.

  • Wolf, R. A. 1966, Astrophys. J., 145, 834.

    Article  ADS  Google Scholar 

  • Wolf, R. N. et al. 2013, Phys. Rev. Lett., 110, 041101.

    Article  ADS  Google Scholar 

  • Woods, P. M., Thompson, C. 2006, in: Compact Stellar X-ray Sources, edited by W. H. G. Lewin & M. van der Klis, Cambridge University Press, Cambridge, p. 547.

  • Yarmchuk, E. J., Gordon, M. J. V., Packard, R. E. 1979, Phys. Rev. Lett., 43, 214.

    Article  ADS  Google Scholar 

  • Yu, Y., Bulgac, A. 2003, Phys. Rev. Lett., 90, 161101.

    Article  ADS  Google Scholar 

  • Yuan, J. P., Manchester, R. N., Wang, N., Zhou, X., Liu, Z. Y., Gao, Z. F. 2010, Astrophys. J., 719, L111.

    Article  ADS  Google Scholar 

  • Zhou, X-R, Schulze, H.-J., Zhao, E-G, Pan, F., Draayer, J. P. 2004, Phys. Rev. C, 70, 048802.

    Article  ADS  Google Scholar 

  • Zwierlein, M. W., Abo-Shaeer, J. R., Schirotzek, A., Schunck, C. H., Ketterle, W. 2005, Nature, 435, 1047.

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Acknowledgements

This work has been supported by the Fonds de la Recherche Scientifique – FNRS (Belgium) under grant n\(^\circ \) CDR J.0187.16, and by the European Cooperation in Science and Technology (COST) action MP1304 NewCompStar.

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Chamel, N. Superfluidity and Superconductivity in Neutron Stars. J Astrophys Astron 38, 43 (2017). https://doi.org/10.1007/s12036-017-9470-9

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