Abstract
This review focuses on applications of the ideas of superfluidity and superconductivity in neutron stars in a broader context, ranging from the microphysics of pairing in nucleonic superfluids to macroscopic manifestations of superfluidity in pulsars. The exposition of the basics of pairing, vorticity and mutual friction can serve as an introduction to the subject. We also review some topics of recent interest, including the various types of pinning of vortices, glitches, and oscillations in neutron stars containing superfluid phases of baryonic matter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
When computing the variation with respect to the occupation numbers one needs to assume that the Bogolyubov coefficients are constant, because they are determined from the condition δ(E − μN)∕δv p = 0.
- 2.
The full nuclear interaction can be renormalized via resummations of infinite series such as to contain only components close to the Fermi surface.
- 3.
Note that the tensor coupling arises also in the case of pairing in the 3S 1-3D 1 channel which acts only between neutrons and protons and is relevant when the isospin asymmetry between neutrons and protons in not too large (Lombardo et al. 2001).
References
Akbal, O., Alpar, M.A., Buchner, S., Pines, D.: Nonlinear interglitch dynamics, the braking index of the Vela pulsar and the time to the next glitch. ArXiv e-prints (2016). 1612.03805
Akgün, T., Link, B., Wasserman, I.: Precession of the isolated neutron star PSR B1828-11. MNRAS 365, 653–672 (2006). https://doi.org/10.1111/j.1365-2966.2005.09745.x. astro-ph/0506606
Alm, T., Röpke, G., Sedrakian, A., Weber, F.: 3D 2 pairing in asymmetric nuclear matter. Nucl. Phys. A 604, 491–504 (1996). https://doi.org/10.1016/0375-9474(96)00153-4
Alpar, M.A.: Pinning and threading of quantized vortices in the pulsar crust superfluid. Astrophys. J. 213, 527–530 (1977) . https://doi.org/10.1086/155183
Alpar, M.A., Pines, D., Anderson, P.W., Shaham, J.: Vortex creep and the internal temperature of neutron stars. I - general theory. Astrophys. J. 276, 325–334 (1984a). https://doi.org/10.1086/161616
Alpar, M.A., Langer, S.A., Sauls, J.A.: Rapid postglitch spin-up of the superfluid core in pulsars. Astrophys. J. 282, 533–541 (1984b). https://doi.org/10.1086/162232
Alpar, M.A., Anderson, P.W., Pines, D., Shaham, J.: Vortex creep and the internal temperature of neutron stars. II - VELA pulsar. Astrophys. J. 278, 791–805 (1984c). https://doi.org/10.1086/161849
Alpar, M.A., Nandkumar, R., Pines, D.: Vortex creep and the internal temperature of neutron stars The Crab pulsar and PSR 0525 + 21. Astrophys. J. 288, 191–195 (1985). https://doi.org/10.1086/162780
Alpar, M.A., Chau, H.F., Cheng, K.S., Pines, D.: Postglitch relaxation of the VELA pulsar after its first eight large glitches - a reevaluation with the vortex creep model. Astrophys. J. 409, 345–359 (1993). https://doi.org/10.1086/172668
Andersson, N.: A new class of unstable modes of rotating relativistic stars. Astrophys. J. 502, 708–713 (1998). https://doi.org/10.1086/305919.gr-qc/9706075
Andersson, N., Comer, G.L.: A flux-conservative formalism for convective and dissipative multi-fluid systems, with application to Newtonian superfluid neutron stars. Classical Quantum Gravity 23, 5505–5529 (2006). https://doi.org/10.1088/0264-9381/23/18/003. physics/0509241
Andersson, N., Comer, G.L.: Relativistic fluid dynamics: physics for many different scales. Living Rev. Relativ. 10, 1 (2007). https://doi.org/10.12942/lrr-2007-1. gr-qc/0605010
Andersson, N., Comer, G.L.: A covariant action principle for dissipative fluid dynamics: from formalism to fundamental physics. Classical Quantum Gravity 32, 075008 (2015). https://doi.org/10.1088/0264-9381/32/7/075008. 1306.3345
Anderson, P.W., Itoh, N.: Pulsar glitches and restlessness as a hard superfluidity phenomenon. Nature 256, 25–27 (1975). https://doi.org/10.1038/256025a0
Andersson, N., Kokkotas, K.D.: The R-mode instability in rotating neutron stars. Int. J. Modern Phys. D 10, 381–441 (2001). https://doi.org/10.1142/S0218271801001062. gr-qc/0010102
Andersson, N., Comer, G.L., Langlois, D.: Oscillations of general relativistic superfluid neutron stars. Phys. Rev. D 66, 104002 (2002). https://doi.org/10.1103/PhysRevD.66.104002. gr-qc/0203039
Andersson, N., Comer, G.L., Glampedakis, K.: How viscous is a superfluid neutron star core?. Nucl. Phys. A 763, 212–229 (2005). https://doi.org/10.1016/j.nuclphysa.2005.08.012. astro-ph/0411748
Andersson, N., Sidery, T., Comer, G.L.: Mutual friction in superfluid neutron stars. Mon. Not. R. Astron. Soc. 368, 162–170 (2006). https://doi.org/10.1111/j.1365-2966.2006.10147.x. astro-ph/0510057
Andersson, N., Sidery, T., Comer, G.L.: Superfluid neutron star turbulence. Mon. Not. R. Astron. Soc. 381, 747–756 (2007). https://doi.org/10.1111/j.1365-2966.2007.12251.x. astro-ph/0703257
Andersson, N., Glampedakis, K., Haskell, B.: Oscillations of dissipative superfluid neutron stars. Phys. Rev. D 79, 103009 (2009). https://doi.org/10.1103/PhysRevD.79.103009. 0812.3023
Andersson, N., Haskell, B., Comer, G.L.: r-modes in low temperature color-flavor-locked superconducting quark stars. Phys. Rev. D 82, 023007 (2010). https://doi.org/10.1103/PhysRevD.82.023007. 1005.1163
Andersson, N., Glampedakis, K., Ho, W.C.G., Espinoza, C.M.: Pulsar glitches: the crust is not enough. Phys. Rev. Lett. 109, 241103 (2012). https://doi.org/10.1103/PhysRevLett.109.241103. 1207.0633
Andersson, N., Glampedakis, K., Hogg, M.: Superfluid instability of r-modes in “differentially rotating” neutron stars. Phys. Rev. D 87, 063007 (2013a). https://doi.org/10.1103/PhysRevD.87.063007. 1208.1852
Andersson, N., Krüger, C., Comer, G.L., Samuelsson, L.: A minimal model for finite temperature superfluid dynamics. Classical Quantum Gravity 30, 235025 (2013b). https://doi.org/10.1088/0264-9381/30/23/235025. 1212.3987
Andersson, N., Wells, S., Vickers, J.A.: Quantised vortices and mutual friction in relativistic superfluids. Classical Quantum Gravity 33, 245010 (2016). https://doi.org/10.1088/0264-9381/33/24/245010. 1601.07395
Andreev, A.F., Bashkin, E.P.: Three-velocity hydrodynamics of superfluid solutions. Sov. J. Exp. Theor. Phys. 42 164 (1976)
Antonelli, M., Pizzochero, P.M.: Axially symmetric equations for differential pulsar rotation with superfluid entrainment. Mon. Not. R. Astron. Soc. 464 (2017), 721–733. https://doi.org/10.1093/mnras/stw2376. 1603.02838
Antonelli, M., Montoli, A., Pizzochero, P.M.: Effects of general relativity on glitch amplitudes and pulsar mass upper bounds. Mon. Not. R. Astron. Soc. (2018) https://doi.org/10.1093/mnras/sty130. 1710.05879
Ashton, G., Jones, D.I., Prix, R.: On the free-precession candidate PSR B1828-11: evidence for increasing deformation. Mon. Not. R. Astron. Soc. 467, 164–178 (2017). https://doi.org/10.1093/mnras/stx060. 1610.03508
Baldo, M., Elgarøy, Ø., Engvik, L., Hjorth-Jensen, M., Schulze, H.-J.: 3P 2- 3F 2 pairing in neutron matter with modern nucleon-nucleon potentials. Phys. Rev. C 58, 1921–1928 (1998). https://doi.org/10.1103/PhysRevC.58.1921. nucl-th/9806097
Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Theory of superconductivity. Phys. Rev. 108, 1175–1204 (1957). https://doi.org/10.1103/PhysRev.108.1175
Baym, G., Pethick, C., Pines, D., Ruderman, M.: Spin up in neutron stars : the future of the vela pulsar. Nature 224, 872–874 (1969). https://doi.org/10.1038/224872a0
Bildsten, L., Epstein, R.I.: Superfluid dissipation time scales in neutron star crusts. ApJ 342, 951–957 (1989). https://doi.org/10.1086/167652
Bogoljubov, N.N.: On a new method in the theory of superconductivity. Il Nuovo Cimento (1955–1965) 7, 794–805 (1958). https://doi.org/10.1007/BF02745585
Bohr, A., Mottelson, B.R., Pines, D.: Possible analogy between the excitation spectra of nuclei and those of the superconducting metallic state. Phys. Rev. 110, 936–938 (1958). https://doi.org/10.1103/PhysRev.110.936
Bruk, Y.M.: Intermediate state in superconducting neutron star. Astrophysics 9, 134–143 (1973). https://doi.org/10.1007/BF01011420
Buckley, K.B., Metlitski, M.A., Zhitnitsky, A.R.: Vortices and type-I superconductivity in neutron stars. Phys. Rev. C 69, 055803 (2004). https://doi.org/10.1103/PhysRevC.69.055803. hep-ph/0403230
Caroli, C., Matricon, J.: Excitations électroniques dans les supraconducteurs purs de 2ème espèce. Physik der Kondensierten Materie 3, 380–401 (1965). https://doi.org/10.1007/BF02422806
Carter, B.: Convective variational approach to relativistic thermodynamics of dissipative fluids. Proc. R. Soc. London, Ser. A 433, 45–62 (1991). https://doi.org/10.1098/rspa.1991.0034
Carter, B., Khalatnikov, I.M.: Momentum, vorticity, and helicity in covariant superfluid dynamics. Ann. Phys. 219, 243–265 (1992). https://doi.org/10.1016/0003-4916(92)90348-P
Carter, B., Khalatnikov, I.M.: Canonically covariant formulation of Landau’s Newtonian superfluid dynamics. Rev. Math. Phys. 6, 277–304 (1994). https://doi.org/10.1142/S0129055X94000134
Carter, B., Langlois, D.: Relativistic models for superconducting-superfluid mixtures. Nucl. Phys. B 531, 478–504 (1998). https://doi.org/10.1016/S0550-3213(98)00430-1. gr-qc/9806024
Carter, B., Langlois, D., Sedrakian, D.M.: Centrifugal buoyancy as a mechanism for neutron star glitches. Astron. Astrophys. 361, 795–802 (2000). astro-ph/0004121
Chamel, N.: Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids. Phys. Rev. C 85, 035801 (2012). https://doi.org/10.1103/PhysRevC.85.035801
Chamel, N.: Crustal entrainment and pulsar glitches. Phys. Rev. Lett. 110, 011101 (2013). https://doi.org/10.1103/PhysRevLett.110.011101. 1210.8177
Chau, H.F., Cheng, K.S., Ding, K.Y.: Implications of 3P2 superfluidity in the interior of neutron stars. Astrophys. J. 399, 213–217 (1992). https://doi.org/10.1086/171917
Chauve, P., Le Doussal, P., Jörg Wiese, K.: Renormalization of pinned elastic systems: how does it work beyond one loop? Phys. Rev. Lett. 86, 1785–1788 (2001). https://doi.org/10.1103/PhysRevLett.86.1785. cond-mat/0006056
Chen, J.M.C., Clark, J.W., Davé, R.D., Khodel, V.V.: Pairing gaps in nucleonic superfluids. Nucl. Phys. A 555, 59–89 (1993). https://doi.org/10.1016/0375-9474(93)90314-N
Cheng, K.S., Pines, D., Alpar, M.A., Shaham, J.: Spontaneous superfluid unpinning and the inhomogeneous distribution of vortex lines in neutron stars. Astrophys. J. 330, 835–846 (1988). https://doi.org/10.1086/166517
Chugunov, A.I., Gusakov, M.E., Kantor, E.M.: New possible class of neutron stars: hot and fast non-accreting rotators. Mon. Not. R. Astron. Soc. 445 (2014), 385–391. https://doi.org/10.1093/mnras/stu1772. 1408.6770
Comer, G.L., Langlois, D., Lin, L.M.: Quasinormal modes of general relativistic superfluid neutron stars. Phys. Rev. D 60, 104025 (1999). https://doi.org/10.1103/PhysRevD.60.104025. gr-qc/9908040
Cooper, L.N.: Bound electron pairs in a degenerate Fermi gas. Phys. Rev. 104, 1189–1190 (1956). https://doi.org/10.1103/PhysRev.104.1189
Dean, D.J., Hjorth-Jensen, M.: Pairing in nuclear systems: from neutron stars to finite nuclei. Rev. Mod. Phys. 75, 607–656 (2003). https://doi.org/10.1103/RevModPhys.75.607. nucl-th/0210033
Dodson, R.G., McCulloch, P.M., Lewis, D.R.: High time resolution observations of the January 2000 glitch in the vela pulsar. Astrophys. J. 564, L85–L88 (2002). https://doi.org/10.1086/339068. astro-ph/0201005
Donati, P., Pizzochero, P.M.: Fully consistent semi-classical treatment of vortex-nucleus interaction in rotating neutron stars. Nucl. Phys. A 742, 363–379 (2004). https://doi.org/10.1016/j.nuclphysa.2004.07.002
Donati, P., Pizzochero, P.M.: Realistic energies for vortex pinning in intermediate-density neutron star matter. Phys. Lett. B 640, 74–81 (2006). https://doi.org/10.1016/j.physletb.2006.07.047
Donnelly, R.J.: Quantized Vortices in Helium II. University of Massachusetts, Amherst (1991)
Eckart, C.: The thermodynamics of irreversible processes. III. Relativistic theory of the simple fluid. Phys. Rev. 58, 919–924 (1940). https://doi.org/10.1103/PhysRev.58.919
Elfritz, J.G., Pons, J.A., Rea, N., Glampedakis, K., Viganò, D.: Simulated magnetic field expulsion in neutron star cores. Mon. Not. R. Astron. Soc. 456, 4461–4474 (2016). https://doi.org/10.1093/mnras/stv2963. 1512.07151
Epstein, R.I., Baym, G.: Vortex drag and the spin-up time scale for pulsar glitches. Astrophys. J. 387, 276–287 (1992). https://doi.org/10.1086/171079
Espinoza, C.M., Antonopoulou, D., Stappers, B.W., Watts, A., Lyne, A.G.: Neutron star glitches have a substantial minimum size. Mon. Not. R. Astron. Soc. 440, 2755–2762 (2014). https://doi.org/10.1093/mnras/stu395. 1402.7219
Feibelman, P.J.: Relaxation of electron velocity in a rotating neutron superfluid: application to the relaxation of a pulsar’s slowdown rate. Phys. Rev. D 4, 1589–1597 (1971). https://doi.org/10.1103/PhysRevD.4.1589
Fetter, A.L., Walecka, J.D.: Quantum Theory of Many-Particle Systems. McGraw-Hill, Boston (1971)
Fily, Y., Olive, E., di Scala, N., Soret, J.C.: Critical behavior of plastic depinning of vortex lattices in two dimensions: molecular dynamics simulations. Phys. Rev. B 82, 134519 (2010). https://doi.org/10.1103/PhysRevB.82.134519. 0912.3835
Friedman, J.L., Morsink, S.M.: Axial Instability of rotating relativistic stars. Astrophys. J. 502 (1998), 714–720. https://doi.org/10.1086/305920. gr-qc/9706073
Gaertig, E., Glampedakis, K., Kokkotas, K.D., Zink, B.: f-mode instability in relativistic neutron stars. Phys. Rev. Lett. 107, 101102 (2011). https://doi.org/10.1103/PhysRevLett.107.101102. 1106.5512
Gandolfi, S., Illarionov, A.Y., Fantoni, S., Pederiva, F., Schmidt, K.E.: Equation of state of superfluid neutron matter and the calculation of the 1S 0 pairing gap. Phys. Rev. Lett. 101, 132501 (2008). https://doi.org/10.1103/PhysRevLett.101.132501. 0805.2513
Gezerlis, A., Carlson, J.: Low-density neutron matter. Phys. Rev. C 81, 025803 (2010). https://doi.org/10.1103/PhysRevC.81.025803. 0911.3907
Gezerlis, A., Pethick, C.J., Schwenk, A.: Pairing and superfluidity of nucleons in neutron stars. ArXiv e-prints (2014). 1406.6109
Glaberson, W.I., Johnson, W.W., Ostermeier, R.M.: Instability of a vortex array in He II. Phys. Rev. Lett. 33, 1197–1200 (1974). https://doi.org/10.1103/PhysRevLett.33.1197
Glampedakis, K., Andersson, N.: Hydrodynamical trigger mechanism for pulsar glitches. Phys. Rev. Lett. 102, 141101 (2009). https://doi.org/10.1103/PhysRevLett.102.141101. 0806.3664
Glampedakis, K., Andersson, N.: Magneto-rotational neutron star evolution: the role of core vortex pinning. Astrophys. J. 740, L35 (2011). https://doi.org/10.1088/2041-8205/740/2/L35. 1106.5997
Glampedakis, K., Andersson, N., Samuelsson, L.: Magnetohydrodynamics of superfluid and superconducting neutron star cores. Mon. Not. R. Astron. Soc. 410, 805–829 (2011). https://doi.org/10.1111/j.1365-2966.2010.17484.x. 1001.4046
Gorter, C.J., Mellink, J.H.: On the irreversible processes in liquid helium II. Physica 15, 285–304 (1949). https://doi.org/10.1016/0031-8914(49)90105-6
Graber, V., Andersson, N., Glampedakis, K., Lander, S.K.: Magnetic field evolution in superconducting neutron stars. Mon. Not. R. Astron. Soc. 453, 671–681 (2015). https://doi.org/10.1093/mnras/stv1648. 1505.00124
Gualtieri, L., Kantor, E.M., Gusakov, M.E., Chugunov, A.I.: Quasinormal modes of superfluid neutron stars. Phys. Rev. D 90, 024010 (2014). https://doi.org/10.1103/PhysRevD.90.024010. 1404.7512
Gügercinoğlu, E., Alpar, M.A.: Vortex creep against Toroidal flux lines, crustal entrainment, and pulsar glitches. Astrophys. J. 788, L11 (2014). https://doi.org/10.1088/2041-8205/788/1/L11
Gügercinoğlu, E., Alpar ,M.A.: Microscopic vortex velocity in the inner crust and outer core of neutron stars. Mon. Not. R. Astron. Soc. 462, 1453–1460 (2016). https://doi.org/10.1093/mnras/stw1758. 1607.05092
Gusakov, M.E.: Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics. Phys. Rev. D 93, 064033 (2016). https://doi.org/10.1103/PhysRevD.93.064033. 1601.07732
Gusakov, M.E., Andersson, N.: Temperature-dependent pulsations of superfluid neutron stars. Mon. Not. R. Astron. Soc. 372, 1776–1790 (2006). https://doi.org/10.1111/j.1365-2966.2006.10982.x. astro-ph/0602282
Gusakov, M.E., Kantor, E.M., Chugunov, A.I., Gualtieri, L.: Dissipation in relativistic superfluid neutron stars. Mon. Not. R. Astron. Soc. 428, 1518–1536 (2013). https://doi.org/10.1093/mnras/sts129. 1211.2452
Gusakov, M.E., Chugunov, A.I., Kantor, E.M.: Instability windows and evolution of rapidly rotating neutron stars. Phys. Rev. Lett. 112, 151101 (2014). https://doi.org/10.1103/PhysRevLett.112.151101. 1310.8103
Gusakov, M.E., Chugunov, A.I., Kantor, E.M.: Explaining observations of rapidly rotating neutron stars in low-mass X-ray binaries. Phys. Rev. D 90, 063001 (2014). https://doi.org/10.1103/PhysRevD.90.063001. 1305.3825
Hall, H.E., Vinen, W.F.: The rotation of liquid helium II. II. The theory of mutual friction in uniformly rotating helium II. Proc. R. Soc. London, Ser. A 238, 215–234 (1956). https://doi.org/10.1098/rspa.1956.0215
Harvey, J.A., Ruderman, M.A., Shaham, J.: Effects of neutron-star superconductivity on magnetic monopoles and core field decay. Phys. Rev. D 33, 2084–2091 (1986). https://doi.org/10.1103/PhysRevD.33.2084
Haskell, B.: Tkachenko modes in rotating neutron stars: the effect of compressibility and implications for pulsar timing noise. Phys. Rev. D 83, 043006 (2011). https://doi.org/10.1103/PhysRevD.83.043006. 1011.1180
Haskell, B.: The effect of superfluid hydrodynamics on pulsar glitch sizes and waiting times. Mon. Not. R. Astron. Soc. 461, L77–L81 (2016). https://doi.org/10.1093/mnrasl/slw103. 1603.04304
Haskell, B., Melatos, A.: Pinned vortex hopping in a neutron star crust. Mon. Not. R. Astron. Soc. 461, 2200–2211 (2016). https://doi.org/10.1093/mnras/stw1334. 1510.03136
Haskell, B., Andersson, N., Passamonti, A.: r modes and mutual friction in rapidly rotating superfluid neutron stars. Mon. Not. R. Astron. Soc. 397 (2009), 1464–1485. https://doi.org/10.1111/j.1365-2966.2009.14963.x. 0902.1149
Haskell, B., Pizzochero, P.M., Sidery, T.: Modelling pulsar glitches with realistic pinning forces: a hydrodynamical approach. Mon. Not. R. Astron. Soc. 420, 658–671 (2012a). https://doi.org/10.1111/j.1365-2966.2011.20080.x. 1107.5295
Haskell, B., Degenaar, N., Ho, W.C.G.: Constraining the physics of the r-mode instability in neutron stars with X-ray and ultraviolet observations. Mon. Not. R. Astron. Soc. 424, 93–103 (2012b). https://doi.org/10.1111/j.1365-2966.2012.21171.x. 1201.2101
Haskell, B., Andersson, N., Comer, G.L.: Dynamics of dissipative multifluid neutron star cores. Phys. Rev. D 86, 063002 (2012c). https://doi.org/10.1103/PhysRevD.86.063002. 1204.2894
Haskell, B., Pizzochero, P.M., Seveso, S.: Investigating superconductivity in neutron star interiors with glitch models. Astrophys. J. 764, L25 (2013). https://doi.org/10.1088/2041-8205/764/2/L25. 1209.6260
Haskell, B., Glampedakis, K., Andersson, N.: A new mechanism for saturating unstable r modes in neutron stars. Mon. Not. R. Astron. Soc. 441, 1662–1668 (2014). https://doi.org/10.1093/mnras/stu535. 1307.0985
Haskell, B., Andersson, N., D’Angelo, C., Degenaar, N., Glampedakis, K., Ho, W.C.G. et al.: Gravitational waves from rapidly rotating neutron stars. In: Sopuerta, C.F. (ed.) Gravitational Wave Astrophysics. Astrophysics and Space Science Proceedings, vol. 40, p. 85 (2015). 1407.8254. DOI
Henriksson, K.T., Wasserman, I.: Poloidal magnetic fields in superconducting neutron stars. Mon. Not. R. Astron. Soc. 431, 2986–3002 (2013). https://doi.org/10.1093/mnras/stt338. 1212.5842
Ho, W.C.G., Andersson, N., Haskell, B.: Revealing the physics of r modes in low-mass X-ray binaries. Phys. Rev. Lett. 107, 101101 (2011). https://doi.org/10.1103/PhysRevLett.107.101101. 1107.5064
Ho, W.C.G., Espinoza, C.M., Antonopoulou, D., Andersson, N.: Pinning down the superfluid and measuring masses using pulsar glitches. Sci. Adv. 1, e1500578–e1500578 (2015). https://doi.org/10.1126/sciadv.1500578. 1510.00395
Howitt, G., Haskell, B., Melatos, A.: Hydrodynamic simulations of pulsar glitch recovery. Mon. Not. R. Astron. Soc. 460, 1201–1213 (2016). https://doi.org/10.1093/mnras/stw1043. 1512.07903
Israel, W., Stewart, J.M.: Transient relativistic thermodynamics and kinetic theory. Ann. Phys. 118, 341–372 (1979) . https://doi.org/10.1016/0003-4916(79)90130-1
Jahan-Miri, M.: Flux expulsion and field evolution in neutron stars. Astrophys. J. 532, 514–529 (2000). https://doi.org/10.1086/308528. astro-ph/9910490
Jones, P.B.: Rotation of the neutron-drip superfluid in pulsars - the resistive force. Mon. Not. R. Astron. Soc. 243, 257–262 (1990)
Jones, P.B.: Neutron superfluid spin-down and magnetic field decay in pulsars. Mon. Not. R. Astron. Soc. 253, 279–286 (1991a). https://doi.org/10.1093/mnras/253.2.279
Jones, P.B.: Rotation of the neutron-drip superfluid in pulsars - the interaction and pinning of vortices. Astrophys. J. 373, 208–212 (1991b). https://doi.org/10.1086/170038
Jones, P.B.: Rotation of the neutron-drip superfluid in pulsars - the Kelvin phonon contribution to dissipation. Mon. Not. R. Astron. Soc. 257, 501–506 (1992). https://doi.org/10.1093/mnras/257.3.501
Jones, P.B.: Type II superconductivity and magnetic flux transport in neutron stars. Mon. Not. R. Astron. Soc. 365, 339–344 (2006). https://doi.org/10.1111/j.1365-2966.2005.09724.x. astro-ph/0510396
Jones, D.I.: Pulsar state switching, timing noise and free precession. MNRAS 420, 2325–2338 (2012). https://doi.org/10.1111/j.1365-2966.2011.20238.x. 1107.3503
Jones, D.I., Andersson, N.: Freely precessing neutron stars: model and observations. Mon. Not. R. Astron. Soc. 324, 811–824 (2001). https://doi.org/10.1046/j.1365-8711.2001.04251.x. astro-ph/0011063
Kantor, E.M., Gusakov, M.E.: Temperature effects in pulsating superfluid neutron stars. Phys. Rev. D 83, 103008 (2011). https://doi.org/10.1103/PhysRevD.83.103008. 1105.4040
Kantor, E.M., Gusakov, M.E.: Temperature-dependent r-modes in superfluid neutron stars stratified by muons. ArXiv e-prints (2017). 1705.06027
Kantor, E.M., Gusakov, M.E., Chugunov, A.I.: Observational signatures of neutron stars in low-mass X-ray binaries climbing a stability peak. Mon. Not. R. Astron. Soc. 455, 739–753 (2016). https://doi.org/10.1093/mnras/stv2352. 1512.02428
Kerr, M., Hobbs, G., Johnston, S., Shannon, R.M.: Periodic modulation in pulse arrival times from young pulsars: a renewed case for neutron star precession. MNRAS 455, 1845–1854 (2016). https://doi.org/10.1093/mnras/stv2457. 1510.06078
Khalatnikov, I.: An introduction to the theory of superfluidity. Advanced Books Classics Series. Addison-Wesley Publishing Company, Boston (1989)
Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon Press, Oxford (1959)
Lander, S.K.: Magnetic fields in superconducting neutron stars. Phys. Rev. Lett. 110, 071101 (2013). https://doi.org/10.1103/PhysRevLett.110.071101. 1211.3912
Lander, S.K.: The contrasting magnetic fields of superconducting pulsars and magnetars. Mon. Not. R. Astron. Soc. 437, 424–436 (2014). https://doi.org/10.1093/mnras/stt1894. 1307.7020
Langlois, D., Sedrakian, D.M., Carter, B.: Differential rotation of relativistic superfluid in neutron stars. Mon. Not. R. Astron. Soc. 297, 1189–1201 (1998). https://doi.org/10.1046/j.1365-8711.1998.01575.x. astro-ph/9711042
Lasky, P.D.: Gravitational waves from neutron stars: a review. Publications of the Astronomical Society of Australia 32, e034 (2015). https://doi.org/10.1017/pasa.2015.35. 1508.06643
Lee, U., Yoshida, S.: r-modes of neutron stars with superfluid cores. Astrophys. J. 586, 403–418 (2003). https://doi.org/10.1086/367617. astro-ph/0211580
Lindblom, L., Mendell, G.: The oscillations of superfluid neutron stars. Astrophys. J. 421 (1994), 689–704. https://doi.org/10.1086/173682
Lindblom, L., Mendell, G.: r-modes in superfluid neutron stars. Phys. Rev. D 61, 104003 (2000). https://doi.org/10.1103/PhysRevD.61.104003. gr-qc/9909084
Link, B.: Constraining hadronic superfluidity with neutron star precession. Phys. Rev. Lett. 91, 101101 (2003). https://doi.org/10.1103/PhysRevLett.91.101101. astro-ph/0302441
Link, B.: Dynamics of quantum vorticity in a random potential. Phys. Rev. Lett. 102, 131101 (2009). https://doi.org/10.1103/PhysRevLett.102.131101. 0807.1945
Link, B.: Instability of superfluid flow in the neutron star core. Mon. Not. R. Astron. Soc. 421, 2682–2691 (2012). https://doi.org/10.1111/j.1365-2966.2012.20498.x.1111.0696
Link, B.: Thermally activated post-glitch response of the neutron star inner crust and core. I. Theory. Astrophys. J. 789, 141 (2014). https://doi.org/10.1088/0004-637X/789/2/141. 1311.2499
Link, B.K., Epstein, R.I.: Mechanics and energetics of vortex unpinning in neutron stars. Astrophys. J. 373 (1991), 592–603. https://doi.org/10.1086/170078
Lee, U.: Nonradial oscillations of neutron stars with the superfluid core. Astron. Astrophys. 303, 515 (1995)
Lombardo, U., Schulze, H.-J.: Superfluidity in neutron star matter. In: Blaschke, D., Glendenning, N.K., Sedrakian, A. (eds.) Physics of Neutron Star Interiors. Lecture Notes in Physics, vol. 578, p. 30. Springer, Berlin (2001). astro-ph/0012209
Lombardo, U., Nozières, P., Schuck, P., Schulze, H.-J., Sedrakian, A.: Transition from BCS pairing to Bose-Einstein condensation in low-density asymmetric nuclear matter. Phys. Rev. C 64, 064314 (2001). https://doi.org/10.1103/PhysRevC.64.064314. nucl-th/0109024
Lombardo, U., Schuck, P., Shen, C.: Screening effects on 1S 0 pairing in nuclear matter. Nucl. Phys. A 731, 392–400 (2004). https://doi.org/10.1016/j.nuclphysa.2003.11.051
Mahmoodifar, S., Strohmayer, T.: Upper bounds on r-mode amplitudes from observations of low-mass X-ray binary neutron stars. Astrophys. J. 773, 140 (2013). https://doi.org/10.1088/0004-637X/773/2/140. 1302.1204
Marchetti, M.C., Middleton, A.A., Saunders, K., Schwarz, J.M.: Driven depinning of strongly disordered media and anisotropic mean-field limits. Phys. Rev. Lett. 91, 107002 (2003). https://doi.org/10.1103/PhysRevLett.91.107002. cond-mat/0302275
Mastrano, A., Melatos, A.: Kelvin-Helmholtz instability and circulation transfer at an isotropic-anisotropic superfluid interface in a neutron star. Mon. Not. R. Astron. Soc. 361, 927–941 (2005). https://doi.org/10.1111/j.1365-2966.2005.09219.x. astro-ph/0505529
Maurizio, S., Holt, J.W., Finelli, P.: Nuclear pairing from microscopic forces: singlet channels and higher-partial waves. Phys. Rev. C 90, 044003 (2014). https://doi.org/10.1103/PhysRevC.90.044003. 1408.6281
Melatos, A., Link, B.: Pulsar timing noise from superfluid turbulence. Mon. Not. R. Astron. Soc. 437, 21–31 (2014). https://doi.org/10.1093/mnras/stt1828. 1310.3108
Melatos, A., Peralta, C.: Superfluid turbulence and pulsar glitch statistics. Astrophys. J. 662, L99–L102 (2007). https://doi.org/10.1086/518598. 0710.2455
Melatos, A., Peralta, C., Wyithe, J.S.B.: Avalanche dynamics of radio pulsar glitches. Astrophys. J. 672, 1103–1118 (2008). https://doi.org/10.1086/523349. 0710.1021
Mendell, G.: Superfluid hydrodynamics in rotating neutron stars. I - Nondissipative equations. II - Dissipative effects. ApJ 380, 515–540 (1991). https://doi.org/10.1086/170609
Mendell, G.: Magnetohydrodynamics in superconducting-superfluid neutron stars. MNRAS 296, 903–912 (1998). https://doi.org/10.1046/j.1365-8711.1998.01451.x. astro-ph/9702032
Mendell, G., Lindblom, L.: The coupling of charged superfluid mixtures to the electromagnetic field. Ann. Phys. 205, 110–129 (1991). https://doi.org/10.1016/0003-4916(91)90239-5
Middleditch, J., Marshall, F.E., Wang, Q.D., Gotthelf, E.V., Zhang, W.L Predicting the starquakes in PSR J0537-6910. Astrophys. J. 652, 1531–1546 (2006). https://doi.org/10.1086/508736. astro-ph/0605007
Migdal, A.B.: Superfluidity and the moments of inertia of nuclei. Nucl. Phys. A 13, 655–674 (1959). https://doi.org/10.1016/0029-5582(59)90264-0
Mühlschlegel, B.: Die thermodynamischen Funktionen des Supraleiters. Zeitschrift fur Physik 155, 313–327 (1959). https://doi.org/10.1007/BF01332932
Muslimov, A.G., Tsygan, A.I.: Neutron star superconductivity and superfluidity, and the decay of pulsar magnetic fields. Pisma v Astronomicheskii Zhurnal 11, 196–202 (1985a)
Muslimov, A.G., Tsygan, A.I.: Vortex lines in neutron star superfluids and decay of pulsar magnetic fields. Astrophys. Space Sci. 115, 43–49 (1985b). https://doi.org/10.1007/BF00653825
Muzikar, P., Sauls, J.A., Serene, J.W.: 3P 2 pairing in neutron-star matter: magnetic field effects and vortices. Phys. Rev. D 21, 1494–1502 (1980). https://doi.org/10.1103/PhysRevD.21.1494
Newton, W.G., Berger, S., Haskell, B.: Observational constraints on neutron star crust-core coupling during glitches. Mon. Not. R. Astron. Soc. 454, 4400–4410 (2015). https://doi.org/10.1093/mnras/stv2285. 1506.01445
Noronha, J., Sedrakian, A.: Tkachenko modes as sources of quasiperiodic pulsar spin variations. Phys. Rev. D 77, 023008 (2008). https://doi.org/10.1103/PhysRevD.77.023008. 0708.2876
Page, D., Lattimer, J.M., Prakash, M., Steiner, A.W.: Stellar Superfluids. ArXiv e-prints (2013). 1302.6626
Pavlou, G.E., Mavrommatis, E., Moustakidis, C., Clark, J.W.: Microscopic study of 1S 0 superfluidity in dilute neutron matter. ArXiv e-prints (2016). 1612.02188
Passamonti, A., Andersson, N.: Towards real neutron star seismology: accounting for elasticity and superfluidity. Mon. Not. R. Astron. Soc. 419 (2012), 638–655. https://doi.org/10.1111/j.1365-2966.2011.19725.x. 1105.4787
Passamonti, A., Haskell, B., Andersson, N.: Oscillations of rapidly rotating superfluid stars. Mon. Not. R. Astron. Soc. 396, 951–963 (2009). https://doi.org/10.1111/j.1365-2966.2009.14751.x. 0812.3569
Passamonti, A., Akgün, T., Pons, J., Miralles, J.A.: On the magnetic field evolution timescale in superconducting neutron star cores. ArXiv e-prints (2017a). 1704.02016
Passamonti, A., Akgün, T., Pons, J.A., Miralles, J.A.: The relevance of ambipolar diffusion for neutron star evolution. Mon. Not. R. Astron. Soc. 465 (2017b), 3416–3428. https://doi.org/10.1093/mnras/stw2936. 1608.00001
Peralta, C., Melatos, A., Giacobello, M., Ooi, A.: Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star. Astrophys. Space Sci. 651, 1079–1091 (2006). https://doi.org/10.1086/507576. astro-ph/0607161
Pizzochero, P.M.: Angular momentum transfer in vela-like pulsar glitches. Astrophys. J. 743, L20 (2011). https://doi.org/10.1088/2041-8205/743/1/L20. 1105.0156
Pizzochero, P.M., Barranco, F., Vigezzi, E., Broglia, R.A.: Nuclear impurities in the superfluid crust of neutron stars: quantum calculation and observable effects on the cooling. Astrophys. J. 569, 381–394 (2002). https://doi.org/10.1086/339284
Pizzochero, P.M., Antonelli, M., Haskell, B., Seveso, S.: Constraints on pulsar masses from the maximum observed glitch. Nat. Astron. 1, 0134 (2017). https://doi.org/10.1038/s41550-017-0134. 1611.10223
Pnigouras, P., Kokkotas, K.D.: Saturation of the f -mode instability in neutron stars. II. Applications and results. Phys. Rev. D 94, 024053 (2016). https://doi.org/10.1103/PhysRevD.94.024053. 1607.03059
Prix, R.: Variational description of multifluid hydrodynamics: uncharged fluids. Phys. Rev. D 69, 043001 (2004). https://doi.org/10.1103/PhysRevD.69.043001. physics/0209024
Prix, R., Rieutord, M.: Adiabatic oscillations of non-rotating superfluid neutron stars. Astron. Astrophys. 393, 949–963 (2002). https://doi.org/10.1051/0004-6361:20021049. astro-ph/0204520
Prix, R., Comer, G.L., Andersson, N.: Inertial modes of non-stratified superfluid neutron stars. Mon. Not. R. Astron. Soc. 348, 625–637 (2004). https://doi.org/10.1111/j.1365-2966.2004.07399.x. astro-ph/0308507
Prix, R., Novak, J., Comer, G.L.: Relativistic numerical models for stationary superfluid neutron stars. Phys. Rev. D 71, 043005 (2005). https://doi.org/10.1103/PhysRevD.71.043005. gr-qc/0410023
Radhakrishnan, V., Manchester, R.N.: Detection of a change of state in the pulsar PSR 0833-45. Nature 222, 228–229 (1969). https://doi.org/10.1038/222228a0
Reichley, P.E., Downs, G.S.: Observed decrease in the periods of pulsar PSR 0833-45. . Nature 222, 229–230 (1969). https://doi.org/10.1038/222229a0
Ruderman, M.: Neutron starquakes and pulsar periods. Nature 223, 597–598 (1969). https://doi.org/10.1038/223597b0
Ruderman, M.: Long period oscillations in rotating neutron stars. Nature 225, 619–620 (1970). https://doi.org/10.1038/225619a0
Ruderman, M.: Crust-breaking by neutron superfluids and the VELA pulsar glitches. Astrophys. J. 203, 213–222 (1976). https://doi.org/10.1086/154069
Ruderman, M., Zhu, T., Chen, K.: Neutron star magnetic field evolution, crust movement, and glitches. Astrophys. J. 492, 267–280 (1998). https://doi.org/10.1086/305026. astro-ph/9709008
Sauls, J.: Superfluidity in the interiors of neutron stars. In: Ögelman, H., van den Heuvel, E.P.J. (eds.) NATO Advanced Science Institutes (ASI) Series C, vol. 262, p. 457 (1989)
Sauls, J.A., Stein, D.L., Serene, J.W.: Magnetic vortices in a rotating 3P 2 neutron superfluid. Phys. Rev. D 25, 967–975 (1982). https://doi.org/10.1103/PhysRevD.25.967
Schulze, H.-J., Cugnon, J., Lejeune, A., Baldo, M., Lombardo, U.: Medium polarization effects on neutron matter superfluidity. Phys. Lett. B 375, 1–8 (1996). https://doi.org/10.1016/0370-2693(96)00213-4
Schwenk, A., Friman, B.: Polarization contributions to the spin dependence of the effective interaction in neutron matter. Phys. Rev. Lett. 92, 082501 (2004). https://doi.org/10.1103/PhysRevLett.92.082501. nucl-th/0307089
Schwenk, A., Friman, B., Brown, G.E.: Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state. Nucl. Phys. A 713, 191–216 (2003). https://doi.org/10.1016/S0375-9474(02)01290-3. nucl-th/0207004
Sedrakian, A.D.: Vortex repinning in neutron star crusts. Mon. Not. R. Astron. Soc. 277, 225–234 (1995). https://dx.doi.org/10.1093/mnras/277.1.225
Sedrakian, A.: Damping of differential rotation in neutron stars. Phys. Rev. D 58, 021301 (1998). https://doi.org/10.1103/PhysRevD.58.021301. astro-ph/9806156
Sedrakian, A.: Type-I superconductivity and neutron star precession. Phys. Rev. D 71, 083003 (2005). https://doi.org/10.1103/PhysRevD.71.083003. astro-ph/0408467
Sedrakian, A.: Rapid rotational crust-core relaxation in magnetars. Astron. Astrophys. 587, L2 (2016). https://doi.org/10.1051/0004-6361/201628068. 1601.00056
Sedrakian, A., Clark, J.W.: Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond, p. 135. World Scientific Publishing Co, Singapore (2006)
Sedrakian, A., Cordes, J.M.: Vortex-interface interactions and generation of glitches in pulsars. Mon. Not. R. Astron. Soc. 307, 365–375 (1999). https://doi.org/10.1046/j.1365-8711.1999.02638.x. astro-ph/9806042
Sedrakian, A.D., Sedrakian, D.M.: Superfluid core rotation in pulsars. I. Vortex cluster dynamics. Astrophys. J. 447, 305 (1995). https://doi.org/10.1086/175876
Sedrakian, A., Wasserman, I.: Perturbations of self-gravitating, ellipsoidal superfluid-normal fluid mixtures. Phys. Rev. D 63, 024016 (2001). https://doi.org/10.1103/PhysRevD.63.024016. astro-ph/0004331
Sedrakian, A., Wasserman, I.: The tensor virial method and its applications to self-gravitating superfluids. In: Blaschke, D., Glendenning, N.K., Sedrakian, A. (eds.) Physics of Neutron Star Interiors. Lecture Notes in Physics, vol. 578, p. 97. Springer, Berlin (2001). astro-ph/0101527
Sedrakian, A.D., Sedrakian, D.M., Cordes, J.M., Terzian, Y.: Superfluid core rotation in pulsars. II. Postjump relaxations. Astrophys. J. 447, 324 (1995). https://doi.org/10.1086/175877
Sedrakian, D.M., Sedrakian, A.D., Zharkov, G.F.: Type I superconductivity of protons in neutron stars. MNRAS 290, 203–207 (1997). https://doi.org/10.1093/mnras/290.1.203. astro-ph/9710280
Sedrakian, A., Wasserman, I., Cordes, J.M.: Precession of isolated neutron stars. I. effects of imperfect pinning. Astrophys. J. 524, 341–360 (1999). https://doi.org/10.1086/307777. astro-ph/9801188
Sedrakian, A., Kuo, T.T.S., Müther, H., Schuck, P.: Pairing in nuclear systems with effective Gogny and V low−k interactions. Phys. Lett. B 576, 68–74 (2003). https://doi.org/10.1016/j.physletb.2003.09.090. nucl-th/0308068
Sedrakian, D.M., Hayrapetyan, M.V., Malekian, A.: Toroidal magnetic field of a superfluid neutron star in a postnewtonian approximation. Astrophysics 54, 100–110 (2011). https://doi.org/10.1007/s10511-011-9161-1
Sedrakian, A., Huang, X.-G., Sinha, M., Clark, J.W.: From microphysics to dynamics of magnetars. ArXiv e-prints (2017). 1701.00895
Sedrakyan, D.M., Shakhabasyan, K.M.: Superfluidity and the magnetic field of pulsars. Sov. Phys. Usp. 34, 555–571 (1991). https://doi.org/10.1070/PU1991v034n07ABEH002446
Seveso, S., Pizzochero, P.M., Haskell, B.: The effect of realistic equations of state and general relativity on the ‘snowplough’ model for pulsar glitches. Mon. Not. R. Astron. Soc. 427, 1089–1101 (2012). https://doi.org/10.1111/j.1365-2966.2012.21906.x. 1205.6647
Seveso, S., Pizzochero, P.M. , Grill, F., Haskell, B.: Mesoscopic pinning forces in neutron star crusts. Mon. Not. R. Astron. Soc. 455, 3952–3967 (2016). https://doi.org/10.1093/mnras/stv2579
Sinha, M., Sedrakian, A.: Magnetar superconductivity versus magnetism: neutrino cooling processes. Phys. Rev. C 91, 035805 (2015). https://doi.org/10.1103/PhysRevC.91.035805. 1502.02979
Shahabasyan, M.K.: Vortex lattice oscillations in rotating neutron stars with quark “CFL” cores. Astrophysics 52, 151–155 (2009). https://doi.org/10.1007/s10511-009-9044-x
Shahabasyan, K.M., Shahabasyan, M.K.: Oscillations in the angular velocity of pulsars. Astrophysics 54, 111–116 (2011). https://doi.org/10.1007/s10511-011-9162-0
Shaham, J.: Free precession of neutron stars - role of possible vortex pinning. Astrophys. J. 214 (1977), 251–260. https://doi.org/10.1086/155249
Shen, C., Lombardo, U., Schuck, P.: Screening of nuclear pairing in nuclear and neutron matter. Phys. Rev. C 71, 054301 (2005). https://doi.org/10.1103/PhysRevC.71.054301. nucl-th/0503008
Sourie, A., Oertel, M., Novak, J.: Numerical models for stationary superfluid neutron stars in general relativity with realistic equations of state. Phys. Rev. D 93, 083004 (2016). https://doi.org/10.1103/PhysRevD.93.083004. 1602.06228
Srinivasan, G., Bhattacharya, D., Muslimov, A.G., Tsygan, A.J.: A novel mechanism for the decay of neutron star magnetic fields. Curr. Sci. 59, 31–38 (1990)
Stairs, I.H., Lyne, A.G., Shemar, S.L.: Evidence for free precession in a pulsar. Nature 406, 484–486 (2000). https://doi.org/10.1038/35020010
Stein, M., Sedrakian, A., Huang, X.-G., Clark, J.W.: Spin-polarized neutron matter: critical unpairing and BCS-BEC precursor. Phys. Rev. C 93, 015802 (2016). https://doi.org/10.1103/PhysRevC.93.015802. 1510.06000
Surace, M., Kokkotas, K.D., Pnigouras, P.: The stochastic background of gravitational waves due to the f-mode instability in neutron stars. Astron. Astrophys. 586 (2016), A86. https://doi.org/10.1051/0004-6361/201527197. 1512.02502
Thorne, K.S.: Multiple expansions of gravitational radiation. Rev. Modern Phys. 52, 299–340 (1980). https://doi.org/10.1103/RevModPhys.52.299
Turolla, R., Zane, S., Watts, A.L.: Magnetars: the physics behind observations. A review. Rep. Prog. Phys. 78, 116901 (2015). https://doi.org/10.1088/0034-4885/78/11/116901. 1507.02924
van Eysden, C.A.: Short-period pulsar oscillations following a glitch. Astrophys. J. 789, 142 (2014). https://doi.org/10.1088/0004-637X/789/2/142. 1403.1046
van Eysden, C.A., Melatos, A.: Pulsar glitch recovery and the superfluidity coefficients of bulk nuclear matter. Mon. Not. R. Astron. Soc. 409, 1253–1268 (2010). https://doi.org/10.1111/j.1365-2966.2010.17387.x. 1007.4360
Vardanyan, G.A., Sedrakyan, D.M.: Magnetohydrodynamics of superfluid superconducting mixtures. Sov. Phys. JETP 54, 919 (1981)
Wambach, J., Ainsworth, T.L., Pines, D.: Quasiparticle interactions in neutron matter for applications in neutron stars. Nucl. Phys. A 555, 128–150 (1993). https://doi.org/10.1016/0375-9474(93)90317-Q
Wasserman, I.: Precession of isolated neutron stars - II. Magnetic fields and type II superconductivity. Mon. Not. R. Astron. Soc. 341, 1020–1040 (2003). https://doi.org/10.1046/j.1365-8711.2003.06495.x. astro-ph/0208378
Warszawski, L., Melatos, A.: Gross-Pitaevskii model of pulsar glitches. Mon. Not. R. Astron. Soc. 415, 1611–1630 (2011) . https://doi.org/10.1111/j.1365-2966.2011.18803.x. 1103.6090
Warszawski, L., Melatos, A., Berloff, N.G.: Unpinning triggers for superfluid vortex avalanches. Phys. Rev. B 85, 104503 (2012). https://doi.org/10.1103/PhysRevB.85.104503. 1203.5133
Watanabe, G., Pethick, C.J.: Superfluid density of neutrons in the inner crust of neutron stars: new life for pulsar glitch models. Phys. Rev. Lett. 119, 062701 (2017). https://doi.org/10.1103/PhysRevLett.119.062701. 1704.08859
Weber, F. (ed.): Pulsars as astrophysical laboratories for nuclear and particle physics (1999)
Wlazłowski, G., Sekizawa, K., Magierski, P., Bulgac, A., Forbes, M.M.: Vortex pinning and dynamics in the neutron star crust. Phys. Rev. Lett. 117, 232701 (2016). https://doi.org/10.1103/PhysRevLett.117.232701. 1606.04847
Yoshida, S., Lee, U.: r-modes in relativistic superfluid stars. Phys. Rev. D 67, 124019 (2003a). https://doi.org/10.1103/PhysRevD.67.124019. gr-qc/0304073
Yoshida, S., Lee, U.: Inertial modes of neutron stars with a superfluid core. MNRAS 344, 207–222 (2003b). https://doi.org/10.1046/j.1365-8711.2003.06816.x. astro-ph/0302313
Zverev, M.V., Clark, J. W., Khodel, V.A.: 3P 2- 3F 2 pairing in dense neutron matter: the spectrum of solutions. Nucl. Phys. A 720, 20–42 (2003). https://doi.org/10.1016/S0375-9474(03)00653-5. nucl-th/0301028
Acknowledgements
B.H. has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 702713. A.S. is supported by the Deutsche Forschungsgemeinschaft (Grant No. SE 1836/3-2). We acknowledge the support by the NewCompStar COST Action MP1304 and by the PHAROS COST Action CA 16214.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Haskell, B., Sedrakian, A. (2018). Superfluidity and Superconductivity in Neutron Stars. In: Rezzolla, L., Pizzochero, P., Jones, D., Rea, N., Vidaña, I. (eds) The Physics and Astrophysics of Neutron Stars. Astrophysics and Space Science Library, vol 457. Springer, Cham. https://doi.org/10.1007/978-3-319-97616-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-97616-7_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-97615-0
Online ISBN: 978-3-319-97616-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)