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Prog. Theor. Phys. Vol. 46 No. 1 (1971) pp. 114-134

[ Full Text PDF : FREE ACCESS (1293K) ]

Superfluid State in Neutron Star Matter. II

— Properties of Anisotropic Energy Gap of 3P2 Pairing —

Tatsuyuki Takatsuka and Ryozo Tamagaki*

Department of Nuclear Engineering, Kyoto University, Kyoto
*Research Institue for Fundamental Physics, Kyoto University, Kyoto

(Received January 22, 1971)

Abstract:

By applying the formulation developed in I and using several semiphenomenological two-nucleon potentials, properties of the 3P2 pairing originating from spin-orbit forces are investigated at high density (ρ\gtrsim2×1014 gcm-3) in neutron star matter. All the possible types of solutions are obtained by solving a coupled integral gap equation through an iterative procedure. Two of these five solutions represent axially symmetric energy gap. By a kind of self-consistency implied in the coupled gap equation the most general solution shows remarkable deviation from axial symmetry as a result of the mixing mainly of mj=±2, 0 components but the resulting gap is nodeless. The total energy shifts are very close for all the types of solutions. Although calculations show the largest energy shift for the most general solution, this conclusion is a delicate quantitative one. The 3P2 gap at high densities depends critically on the effective mass and short-range behaior of nuclear forces, especially on the strong repulsive core of two-nucleon forces. In any case there exists neutron superfluidity due to the 3P2 pairing at least in the density region ρ\cong(2∼5)×1014 gmc-3. Consequences of the calculated results are discussed, and an agreement is given to the connection between the mass of the pulsar and the strong density dependence of neutron superfluidity.


URL : http://ptp.ipap.jp/link?PTP/46/114/
DOI : 10.1143/PTP.46.114

[ Full Text PDF : FREE ACCESS (1293K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 95-113 :
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  2. Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 1062-1064 :
    Superfluid State in Neutron Star Matter. III
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  3. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 766-782 :
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  4. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1517-1533 :
    Energy Gap in Neutron-Star Matter
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  5. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 1849-1859 :
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  6. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1755-1757 :
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  7. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 1984-2000 :
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  9. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1865-1869 :
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  10. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2270-2274 :
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  11. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 348-350 :
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  12. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 779-804 :
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  13. Progress of Theoretical Physics Vol. 94 No. 3 (1995) pp. 457-461 :
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  14. Progress of Theoretical Physics Vol. 97 No. 2 (1997) pp. 263-281 :
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  15. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 1043-1081 :
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  16. Progress of Theoretical Physics Vol. 104 No. 5 (2000) pp. 1041-1051 :
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  17. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 1059-1064 :
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  18. Progress of Theoretical Physics Vol. 112 No. 1 (2004) pp. 37-72 :
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  19. Progress of Theoretical Physics Vol. 116 No. 3 (2006) pp. 573-599 :
    Baryonic 3 P2-Dominant Superfluidity under Combined Pion Condensation with Δ Isobar. I
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  20. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
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  21. 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

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