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Prog. Theor. Phys. Vol. 68 No. 4 (1982) pp. 1231-1247

[ Full Text PDF : FREE ACCESS (687K) ]

A Realistic Approach to Charged Pion Condensation in Neutron Matter

Toshitaka Tatsumi

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received March 26, 1982)

Abstract:

For a realistic approach to describe the equation of state and cooling of neutron stars in a consistent way, a new formalism for the charged pion (πc) condensed phase in neutron matter is developed within the framework of the SU(2) ×SU(2) version of the SU(3) ×SU(3) σ-model. The degree of freedom of the isobar Δ(1232) is described by using the SU(4) constituent quark model and a variational technique: Baryonic states are described in terms of quasi-proton and quasi-neutron states which are composed of nucleon and isobar ones. As a consequence of this procedure, the roles of the Δ-isobars in the πc condensed phase are clearly seen. Moreover the formalism has a staightforwardly applicable form to neutron star problems, especially the neutron star cooling. The effects of short-range baryon-baryon correlations and the form factors of the pion-baryon p-wave coupling vertex are also included. Numerical results on the properties of the ground state are discussed in detail.


URL : http://ptp.ipap.jp/link?PTP/68/1231/
DOI : 10.1143/PTP.68.1231

[ Full Text PDF : FREE ACCESS (687K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1137-1145 :
    A Realistic Calculation of the Cooling Rate of Neutron Stars with the Charged Pion Condensate
    Toshitaka Tatsumi
  2. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 516-520 :
    Pion-Condensed Neutron Star and Supernova 1987A
    Tatsuyuki Takatsuka
  3. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1405-1427 :
    On the Existence of Combined Condensation of Neutral and Charged Pions in Neutron Matter
    Takumi Muto and Toshitaka Tatsumi
  4. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 461-479 :
    Extra Neutrino Emissivity of Neutron Stars under the Combined Condensation of Neutral and Charged Pions
    Takumi Muto and Toshitaka Tatsumi
  5. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 28-33 :
    On the Cooling of Neutron Stars under the Neutral Pion Condensed Phase
    Takumi Muto and Toshitaka Tatsumi
  6. 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
  7. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 779-804 :
    Elementary Excitations in a Solid Nuclear Matter
    Koichi Takahashi
  8. Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 685-702 :
    A Representation of SU(2) and Isospin Waves in a Solid Nuclear Matter
    Koichi Takahashi
  9. Progress of Theoretical Physics Vol. 97 No. 2 (1997) pp. 263-281 :
    Effects of Charged-Pion Condensation on Neutron 3P2 Superfluidity
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  10. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 1043-1081 :
    Baryonic 3 P2 Superfluidity under Charged-Pion Condensation with Δ Isobar
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  11. Progress of Theoretical Physics Supplement No.91 (1987) pp. 299-313 :
    Pion Condensations and Neutron Star Phenomena
    Toshitaka Tatsumi
  12. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
    Ryozo Tamagaki
  13. Progress of Theoretical Physics Supplement No.112 (1993) pp. 159-196 :
    Chapter VI. A Chiral Symmetry Approach to Meson Condensations
    Takumi Muto, Ryozo Tamagaki and Toshitaka Tatsumi
  14. Progress of Theoretical Physics Supplement No.112 (1993) pp. 221-275 :
    Chapter VIII. Implications of Various Hadron Phases to Neutron Star Phenomena
    Takumi Muto, Tatsuyuki Takatsuka, Ryozo Tamagaki and Toshitaka Tatsumi
  15. Progress of Theoretical Physics Supplement No.153 (2004) pp. 174-189 :
    Meson Condensations in High-Density Matter
    Takumi Muto

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