HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 101 (1999) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 101 No. 5 (1999) pp. 1043-1081

[ Full Text PDF : FREE ACCESS (392K) ]

Baryonic 3 P2 Superfluidity under Charged-Pion Condensation with Δ Isobar

Tatsuyuki Takatsuka*) and Ryozo Tamagaki *,**)

Faculty of Humanities and Social Sciences, Iwate University
Morioka 020-0066, Japan
*Kamitakano Maeda-Cho 26-5, Kyoto 606-0097, Japan

(Received December 21, 1998)

Abstract:

Baryonic 3 P2 superfluidity under charged-pion (πc) condensation is studied by taking into account the Δ isobar degrees of freedom, in order to seek the possibility of the coexistence of the two hadronic condensates in the high density core of neutron stars. To treat such a coexistence problem, we develop a formulation of the pairing correlation due to the interaction between quasi-baryons under πc condensation. Quasi-baryons are described as a superposition of the quasi-neutron consisting of the neutron plus the isobar Δ- and the quasi-proton consisting of the proton plus the isobar Δ++. In this formulation, effects of Δ-mixing on the 3 P2 pairing interaction can be expressed in a compact form as an additional 3 P2 potential, which arises from the modification of the isospin and spin-isospin components of realistic nuclear forces due to Δ-mixing. The Δ-mixing brings about significant attractive contributions to the 3 P2 pairing potential with moderate dependence on the density ρ. In the nucleon sector, repulsive effects on the pairing potential appear at short distance, growing with ρ. As a result of the competition between the two, the baryonic 3 P2 superfluid critical temperature Tc under πc condensation is higher than the internal temperature of neutron stars, and the superfluid exists, up to about (3–5) times the nuclear density ρ0. For ρ\asim 3ρ0, the persistence of the superfluid under πc condensation is regarded as model-dependent: Tc depends largely on the behavior of the condensed-πc momentum and short-range properties of nuclear forces.


URL : http://ptp.ipap.jp/link?PTP/101/1043/
DOI : 10.1143/PTP.101.1043


*)E-mail: takatuka@iwate-u.ac.jp
**)E-mail: tamagaki@yukawa.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (392K) ] Citation:

References:

  1. S. Tsuruta, Phys. Rep. 292 (1998), 1.
  2. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 97 (1997), 263[PTP], referred to as I in the text.
  3. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 98 (1997), 393[PTP], referred to as II in the text.
  4. For review articles, e.g.,
    A. B. Migdal, Rev. Mod. Phys. 50 (1978), 107.
    G. E. Brown and W. Weise, Phys. Rep. 27 (1976), 1.
    G Baym and D. K. Campbell, Mesons and Nuclei, ed. M. Rho and D. H. Wilkinson (North-Holland, Amsterdam, 1979), Vol. III, p. 1031.
    A. B. Migdal, E. E. Saperstein, M. A. Troitsky and D. N. Voskresensky, Phys. Rep. 192 (1990), 179.
  5. T. Tatsumi, Prog. Theor. Phys. 68 (1982), 1231[PTP].
  6. T. Ericson and W. Weise, Pions and Nuclei (Clarenden Press, Oxford, 1988).
  7. R. Tamagaki, Prog. Theor. Phys. 39 (1968), 91[PTP].
  8. R. Tamagaki, Prog. Theor. Phys. 44 (1970), 905[PTP].
  9. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 46 (1971), 114[PTP]; Prog. Theor. Phys. Suppl. No. 112 (1993), 27[PTP].
  10. K. Tamiya and R. Tamagaki, Prog. Theor. Phys. 60 (1978), 1753[PTP].
  11. T. Muto and T. Tatsumi, Prog. Theor. Phys. 78 (1987), 1405[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 117-123 :
    Phase Transition of Color Superconductivity and Cooling Behavior of Quark Stars
    Keiji Yamaguchi, Masaharu Iwasaki and Osamu Miyamura
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 115 No. 2 (2006) pp. 355-379 :
    Occurrence of Hyperon Superfluidity in Neutron Star Cores
    Tatsuyuki Takatsuka, Shigeru Nishizaki, Yasuo Yamamoto and Ryozo Tamagaki
  5. 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
  6. 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
  7. Progress of Theoretical Physics Supplement No.156 (2004) pp. 84-103 :
    Hyperon-Mixed Neutron Stars
    Tatsuyuki Takatsuka

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.