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Prog. Theor. Phys. Vol. 48 No. 5 (1972) pp. 1517-1533

[ Full Text PDF : FREE ACCESS (1367K) ]

Energy Gap in Neutron-Star Matter

Tatsuyuki Takatsuka

Department of Nuclear Engineering, Kyoto University, Kyoto

(Received April 24, 1972)

Abstract:

On exactly taking into account the attractive effect of the 3P2 - 3F2 coupling due to the two-nucleon tensor force and the effect of the one-body potential, the density region in the neutron-star matter where the 3P2-superfluid state exists is determined as ρ ≃ (2 ∼ 8) × 1014 gcm-3. The tensor coupling effect is shown to play an indispensable role on the existence of the 3P2-gap in neutron-star matter. The 1S0-gap is also investigated, leading to the result that the 1S0-superfluid state exists in the density region ρ ≃ (1.0×1011 ∼ 1.5 × 1014) gcm-3. On the basis of these results, the region ρ ≃ (1.5 ∼ 2.0) × 1014 gcm-3 is considered to result in the normal state.


URL : http://ptp.ipap.jp/link?PTP/48/1517/
DOI : 10.1143/PTP.48.1517

[ Full Text PDF : FREE ACCESS (1367K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1754-1755 :
    Proton Superfluidity in Neutron-Star Matter
    Tatsuyuki Takatsuka
  2. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1755-1757 :
    Comments on Inner Superfluid and Information from Pulsar Glitches
    Tatsuyuki Takatsuka
  3. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1933-1955 :
    Solidification and Pion Condensation in Nuclear Medium
    Tatsuyuki Takatsuka, Kyuichiro Tamiya, Toshitaka Tatsumi and Ryozo Tamagaki
  4. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1655-1669 :
    Study on Neutron 3P2-Superfluidity with Two-Dimensional Character under π0 Condensation in Neutron Star Matter
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  5. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1865-1869 :
    Neutron Cooper Pair of 3P2-Dominant Pairing with Two-Dimensional Character under the ALS Structure
    Hiroaki Furukawa and Ryozo Tamagaki
  6. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2107-2127 :
    Neutron 3P2-Dominant Superfluidity with Two-Dimensional Character under Well-Developed π0 Condensation
    Ryozo Tamagaki, Tatsuyuki Takatsuka and Hiroaki Frukawa
  7. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1333-1349 :
    Proton 1S0-Dominant Superfluidity with Two-Dimensional Character under Well-Developed π0 Condensation
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  8. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 348-350 :
    Effect of the Neutron 3P2 Pairing on the π0 Condensation Threshold in Neutron Star Matter
    Fumio Asai
  9. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1432-1435 :
    Energy Gaps in Crust-Phase of Neutron Stars
    Tatsuyuki Takatsuka
  10. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 274-279 :
    Corequake Model of Pulsar Glitches for Neutron Stars with Pion-Condensed Core
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  11. Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 945-964 :
    Postglitch Timing Behavior of Vela and Crab Pulsars in an Extended Starquake Model for Neutron Stars with Pion-Condensed Core
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  12. Progress of Theoretical Physics Vol. 91 No. 6 (1994) pp. 1149-1172 :
    A Variational Method for Infinite Fermion Systems with Central Forces
    Masatoshi Takano and Masami Yamada
  13. Progress of Theoretical Physics Vol. 94 No. 3 (1995) pp. 457-461 :
    Nucleon Superfluidity in Kaon-Condensed Neutron Stars
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  14. Progress of Theoretical Physics Vol. 104 No. 5 (2000) pp. 1041-1051 :
    Anti-Parallel Spin Pairing in Color Superconductivity
    Masaharu Iwasaki, Satoshi Ishikawa and Take-aki Tanaka
  15. Progress of Theoretical Physics Vol. 112 No. 1 (2004) pp. 37-72 :
    Baryon Superfluidity and Neutrino Emissivity of Neutron Stars
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  16. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 245-250 :
    Baryonic 3P2-Dominant Superfluidity under Combined Pion Condensation with Δ-Mixing
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  17. 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
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  18. Progress of Theoretical Physics Vol. 117 No. 5 (2007) pp. 861-901 :
    Baryonic 3 P2-Dominant Superfluidity under Combined Pion Condensation with Δ Isobar. II
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  19. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
    Ryozo Tamagaki
  20. 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
  21. Progress of Theoretical Physics Supplement No.153 (2004) pp. 174-189 :
    Meson Condensations in High-Density Matter
    Takumi Muto

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