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Prog. Theor. Phys. Vol. 48 No. 3 (1972) pp. 766-782

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The Ginzburg-Landau Equation for 3P2 Pairing

— Superfluidity in Neutron Stars —

Toshimitsu Fujita and Toshihiko Tsuneto

Department of Physics, Kyoto University, Kyoto

(Received February 23, 1972)

Abstract:

The purpose of this work is to study superfluid properties of a neutral fermion system with pairing in a non-zero angular momentum state, in particular, with 3P2 pairing expected in neutron stars. The gap equation and the equation of the Ginzburg-Landau (G-L) type are derived for general pairing. We then specialize to the case of 3P2 pairing and present the G-L equation for the five component order parameter in the form of a non-linear field equation for a spin 2 field. The expressions for the free energy, the current density and the angular momentum density are found in terms of the order parameter. With the help of the G-L equation some features of vortex states are discussed.


URL : http://ptp.ipap.jp/link?PTP/48/766/
DOI : 10.1143/PTP.48.766

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References:

  1. A. G. W. Cameron, Ann. Rev. Astron. Ap. 8 (1970), 179.
  2. M. Hoffberg, A. E. Glassgold, R. W. Richardson and M. Ruderman, Phys. Rev. Lett. 24 (1970), 775[APS].
    R. Tamagaki, Prog. Theor. Phys. 44 (1970), 905[PTP].
    T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 46 (1971), 114[PTP].
  3. R. Ballian and N. R. Werthamer, Phys. Rev. 131 (1963), 1553[APS].
    J. H. Bookbinder, Phys. Rev. A 3 (1971), 372, [APS]and works referred there.
  4. M. Ruderman, Nature 223 (1969), 597.
    G. Baym, C. Pethick and D. Pines, Nature 224 (1969), 673[CrossRef].
    G. Baym, C. Pethick, D. Pines and M. Ruderman, Nature 224 (1969), 872[CrossRef].
  5. K. Maki and T. Tsuneto, Prog. Theor. Phys. 27 (1962), 228[PTP].
  6. A. A. Abrikosov, L. P. Gor'kov and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, 2nd ed. (Pergamon Press, 1965), Section 36.
  7. V. L. Ginzburg and L. P. Pitaevskii, Sov. Phys. -JETP 34 (1958), 858.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1072-1074 :
    Isotropic Solutions for the Generalized G-L Equation
    Toshimitsu Fujita
  2. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 289-291 :
    Vortex States of Superfluid He3
    Toshimitsu Fujita and Toshihiko Tsuneto
  3. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1219-1232 :
    Superfluidity of Liquid He3
    Toshimitsu Fujita
  4. Progress of Theoretical Physics Supplement No.112 (1993) pp. 27-65 :
    Chapter II. Superfluidity in Neutron Star Matter and Symmetric Nuclear Matter
    Tatsuyuki Takatsuka and Ryozo Tamagaki