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Prog. Theor. Phys. Supplement No.112 (1993) pp. 27-65

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Chapter II. Superfluidity in Neutron Star Matter and Symmetric Nuclear Matter

Tatsuyuki Takatsuka and Ryozo Tamagaki*

College of Humanities and Social Sciences, Iwate University, Morioka 020
*Department of Physics, Kyoto University, Kyoto 606-01

Abstract:

Nucleon superfluids which are realized in neutron star interior and symmetric nuclear matter are studied with use of realistic nuclear forces, in the density domain from the subnuclear region to about 3 ρ0 (ρ0 being the nuclear density). It is shown that characteristic aspects of nuclear forces manifest themselves in the appearance of several kinds of nucleon superfluids, which strongly depends on the density ρ. In this chapter emphasis is put on the pairing correlations where strong noncentral (tensor and spin-orbit) forces play important roles. A theoretical framework applicable to the nonzero angular-momentum pairing including the coupling due to tensor force is given by extending the usual BCS-Bogoliubov including the coupling due to tensor force is given by extending the usual BCS-Bogoliubov theory for the 1S0 pairing (the zero angular-momentum one). This formulation has been applied to the 3P2 + 3F2 pairing in neutron matter (the dominant component of neutron stars) and the 3S1 + 3D1 pairing in symmetric nuclear matter. In the former case, although spin-orbit force mainly contributes to the 3P2 attraction, the tensor coupling with the 3F2 component assists to realize the 3P2 superfluid. In the latter case, the tensor coupling to the 3D1 component plays a vital role to realize the 3S1 superfluid with a large energy gap. Results of the energy gaps calculated for such nonzero angular-momentum pairings, as well as those for the 1S0 pairing, are shown. We have found the realization of the following nucleon superfluids; the neutron 3P2 superfluid and the proton 1S0 one in the fluid core of neutron stars at ρ ≃ (0.7 ∼ 3) ρ0, the neutron 1S0. superfluid in the inner crust of neutron stars at ρ ≃ (10-3 ∼ 0.5) ρ0, and the 3S1 superfluid in symmetric nuclear matter at a wide range of ρ including ρ0, contrary to the 1S0 one realized at ρ \lesssim ρ0/2. The properties of these superfluids and their implications are also discussed.


URL : http://ptp.ipap.jp/link?PTPS/112/27/
DOI : 10.1143/PTPS.112.27

[ Full Text PDF : FREE ACCESS (3238K) ] Citation:

References:

  1. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108 (1957), 1175[APS].
    N. N. Bogoliubov. Zh. Eksp. Teor. Fiz. (USSR) 34 (1958), 58.
    J. G. Valatin, Nuovo Cim. 7 (1958), 843.
  2. A. Bohr, B. R. Mottelson and D. Pines, Phys. Rev. 110 (1958), 936[APS].
  3. a) L. N. Cooper, R. L. Mills and A. M. Sessler, Phys. Rev. 114 (1959), 1377[APS].
    V. J. Emery and A. M. Sessler, Phys. Rev. 119 (1960), 248[APS].
    b) T. Ishihara, R. Tamagaki, H. Tanaka and M. Yasuno, Prog. Theor. Phys. 30 (1963), 601[PTP].
    c) R. Kennedy, L. Wilets and E. M. Henley, Phys. Rev. 133 (1964), B1131[APS].
  4. A. B. Migdal, Zh. Eksp. Teor. Fiz. 37 (1959), 249 [Sov. Phys. JETP 10 (1960), 176]; Nucl. Phys. 13 (1959), 655[CrossRef].
  5. R. Tamagaki, Prog. Theor. Phys. 44 (1970), 905[PTP]; preliminarily reported in Soryushiron Kenkyu (Kyoto) 40 (1969), D26.
  6. M. Hoffberg, A. E. Glassgold, R. W. Richardson and M. Ruderson, Phys. Rev. Lett. 24 (1970), 775[APS].
  7. D. D. Osheroff, R. C. Richardson, D. M. Lee, Phys. Rev. Lett. 28 (1972), 885[APS].
  8. T. Takatsuka, Prog. Theor. Phys. 47 (1972), 1062[PTP]; ibid. 48 (1972), 1517[PTP].
  9. a) K. A. Brueckner, T. Soda, P. W. Anderson and P. Morel, Phys. Rev. 118 (1960), 1442[APS].
    b) P. W. Anderson and P. Morel, Phys. Rev. 123 (1961), 1911[APS].
    c) R. Balian and N. R. Werthamer, Phys. Rev. 131 (1963), 1553[APS]
    d) L. P. Gor'kov and V. M. Galitski, Sov. Phys. JETP 40 (1961), 1124.
    e) D. Hone, Phys. Rev. Lett. 8 (1962), 370[APS].
    f) R. Balian, L. H. Nosanow and N. R. Werthamer, Phys. Rev. Lett. 8 (1962), 372[APS].
  10. T. R. Mongan, Phys. Rev. 178 (1969), 1579[APS].
  11. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 46 (1971), 114[PTP].
  12. R. Tamagaki, Prog. Theor. Phys. 39 (1968), 91[PTP].
  13. T. Marumori, T. Murota, S. Takagi, H. Tanaka and M. Yasuno, Prog. Theor. Phys. 25 (1961), 1035[PTP].
  14. S. Ikeuchi, S. Nagata, T. Mizutani and K. Nakagawa, Prog. Theor. Phys. 46 (1971), 95[PTP].
  15. T. Takatsuka, Prog. Theor. Phys. 50 (1973), 1754[PTP].
  16. T. Takatsuka, Prog. Theor. Phys. 71 (1984), 1432[PTP].
  17. J. W. Negele and D. Vautherin, Nucl. Phys. A 207 (1973), 298[CrossRef].
  18. R. V. Reid, Ann. of Phys. 50 (1968), 411[CrossRef].
  19. For a review; D. Pines and M. A. Alpar, Proc. The Structure and Evolution of Neutron Stars (Kyoto, 1990), ed. D. Pines, R. Tamagaki and S. Tsuruta (Addison-Wesley, California, 1992), p. 7.
  20. M. A. Alpar, Astrophys. J. 213 (1977), 527[CrossRef].
  21. V. R. Pandharipande, Nucl. Phys. A 178 (1971), 123[CrossRef].
  22. R. C. Malone, M. B. Johnson and H. A. Bethe, Astrophys. J. 199 (1975), 741[CrossRef].
  23. T. Takatsuka, Prog. Theor. Phys. 50 (1973), 1755[PTP].
  24. H. Bando and A. Kuriyama, Prog. Theor. Phys. Suppl. Extra Number (1968), 69[PTP].
  25. K. A. Brueckner, J. L. Gammel and J. T. Kubis, Phys. Rev. 118 (1960), 1438[APS].
  26. T. Takatsuka, Soryushiron Kenkyu (Kyoto) 46 (1973), 719; Ph. D. Thesis, Kyoto University (1973).
  27. G. Baym, C. Pethick, D. Pines and H. Ruderman, Nature 224 (1969), 872[CrossRef].
  28. a) J. W. Clark and C.-H. Yang, Nuovo Cim. Lett. 3 (1970), 272; ibid. 2 (1971), 379.
    C. H. Yang and J. W. Clark, Nucl. Phys. A 174 (1971), 49[CrossRef].
    b) N.-C. Chao, J. W. Clark and C.-H. Yang, Nucl. Phys. A 179 (1972), 302.
  29. a) L. Amundsen and E. Østgaard, Nucl. Phys. A 442 (1985), 163.
    b) L. Amundsen and E. Østgaard, Nucl. Phys. A 437 (1985), 487.
  30. a) M. Baldo, J. Cugnon, A. Lejeune and U. Lombardo, Nucl. Phys. A 536 (1992), 349[CrossRef].
    b) M. Baldo, J. Cugnon, A. Lejeune and U. Lombardo, Nucl. Phys. A 515 (1990), 409[CrossRef].
  31. I. E. Lagaris and V. R. Pandharipande, Nucl. Phys. A 359 (1981), 331[CrossRef].
  32. N. Hoshizaki, Prog. Theor. Phys. 86 (1991), 17, [PTP]and references cited therein.
  33. J. M. C. Chen, J. W. Clark, E. Krotscheck and R. A. Smith, Nucl. Phys. A 451 (1986), 509[CrossRef].
  34. T. L. Ainsworth, J. Wambach and D. Pines, Phys. Lett. B 222 (1989), 173[CrossRef].
  35. J. W. Clark, C.-G. Kallman, C.-H. Yang and D. A. Chakkalakal, Phys. Lett. B 61 (1976), 331[CrossRef].
  36. For a review, S. Tsuruta, Phys. Rep. 56 (1979), 237[CrossRef]; Proc. The Structure and Evolution of Neutron Stars (Kyoto, 1990), ed. D. Pines, R. Tamagaki and S. Tsuruta (Addison-Wesley, California, 1992), p. 371.
  37. a) G. Baym, C. Pethick and D. Pines, Nature 224 (1969), 693.
    b) P. J. Feibelman, Phys. Rev. D 4 (1971), 1589[APS].
    c) J. A. Sauls, D. L. Stein and J. W. Serene, Phys. Rev. D 25 (1982), 967[APS].
    d) M. A. Alpar, S. A. Langer and J. A. Sauls, Astrophys. J. 282 (1984), 533[CrossRef].
  38. T. Muto, T. Takatsuka, R. Tamagaki and T. Tatsumi, Prog. Theor. Phys. Suppl. No. 112 (1993), 221, [PTP](Chapter VIII in this volume).
  39. T. Fujita and T. Tsuneto, Prog. Theor. Phys. 48 (1972), 766[PTP].
    R. W. Richardson, Phys. Rev. D 5 (1972), 1883[APS].
    P. Muzikar, J. A. Sauls and J. W. Serene, Phys. Rev. D 21 (1980), 1494[APS].
  40. J. A. Sauls and J. W. Serene, Phys. Rev. D 17 (1978), 1524[APS].
    D. Bailin and A. Love, Phys. Rep. 107 (1984), 325[CrossRef].
  41. H. Brand and h. Pleiner, Phys. Rev. D 24 (1981), 3048[APS].
  42. For a review, M. M. Salomaa and G. E. Volovik, Rev. Mod. Phys. 59 (1987), 533[APS].

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