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Prog. Theor. Phys. Vol. 60 No. 6 (1978) pp. 1753-1769

[ Full Text PDF : FREE ACCESS (1228K) ]

Possible Coexistence of Neutral and Charged Pion Condensations in Nuclear Medium

Kyuichiro Tamiya and Ryozo Tamagaki

Department of Physics, Kyoto University, Kyoto 606

(Received July 24, 1978)

Abstract:

A possible mechanism of coexistent condensations of neutral and charged pions is proposed by extending the [ALS] (Alternating-Layer-Spin) model describing the π0 condensation so that the charged pion condensation is realized in neutron-rich matter. Condition for coexistence without conflict is that the momenta of the two condensates are perpendicular to each other. Model calculation by the use of the π-N P-wave interaction shows that in this extended model each condensation is essentially independent and the energy gain due to the phase transition from the Fermi gas is simply the sum of two contributions with the same order of magnitude.


URL : http://ptp.ipap.jp/link?PTP/60/1753/
DOI : 10.1143/PTP.60.1753

[ Full Text PDF : FREE ACCESS (1228K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1107-1126 :
    Neutral Pion Condensation and ALS Model Including Isobar Δ(1236)
    Teiji Kunihiro and Ryozo Tamagaki
  2. 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
  3. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1665-1687 :
    Possible Structures of Pion Condensate in Symmetric Nuclear Matter
    Tetsuo Matsui, Takeshi Otofuji, Kenji Sakai and Masaru Yasuno
  4. 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
  5. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2270-2274 :
    Attenuation of 3P2-Superfluidity in Neutron Star Matter Due to Charged-Pion Condensation
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  6. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 938-947 :
    Charged Pion Condensation as a Standing Wave Mode
    M. C. Ruivo and L. S. Ferreira
  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. 65 No. 6 (1981) pp. 1941-1949 :
    Excitations of the Charged Pion Field in Dense Nuclear Medium with a Neutral Condensate
    M. C. Ruivo and L. S. Ferreira
  9. Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 948-963 :
    Reaction Matrix Calculations in Neutron Matter with Alternating-Layer-Spin Structure under π0 Condensation. I
    Kyuichiro Tamiya and Ryozo Tamagaki
  10. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 254-270 :
    Study on Characteristics of π0-Condensate in Neutron Matter
    Tatsuyuki Takatsuka, Yasumichi Saito and Jun Hiura
  11. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1645-1648 :
    Possible Charged Pion Condensation in Neutron Matter with Small Proton Admixture
    Takeshi Otofuji and Masaru Yasuno
  12. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1649-1653 :
    Nucleon Superfluidity under Coexistent Condensation of Neutral and Charged Pions in Neutron Matter
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  13. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1231-1247 :
    A Realistic Approach to Charged Pion Condensation in Neutron Matter
    Toshitaka Tatsumi
  14. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 252-265 :
    Proton Mixing in π0-Condensed Phase of Neutron Star Matter
    Tatsuyuki Takatsuka
  15. 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
  16. 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
  17. 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
  18. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 361-366 :
    Hot Neutron Star with Pion Condensations and Characteristics of Neutrino Burst from SN1987A
    Tatsuyuki Takatsuka
  19. 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
  20. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 779-804 :
    Elementary Excitations in a Solid Nuclear Matter
    Koichi Takahashi
  21. 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
  22. Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 301-317 :
    Deformation of Lattice in a Solid Nuclear Matter
    Koichi Takahashi
  23. Progress of Theoretical Physics Vol. 98 No. 2 (1997) pp. 393-417 :
    Quasi-Neutron 3 P2-Dominant Superfluidity under π0 Condensation with Δ Isobar
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  24. 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
  25. 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
  26. 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
  27. 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
  28. Progress of Theoretical Physics Supplement No.91 (1987) pp. 299-313 :
    Pion Condensations and Neutron Star Phenomena
    Toshitaka Tatsumi
  29. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
    Ryozo Tamagaki
  30. Progress of Theoretical Physics Supplement No.112 (1993) pp. 67-106 :
    Chapter III. Characteristic Aspects of Pion-Condensed Phases
    Tatsuyuki Takatsuka, Ryozo Tamagaki and Toshitaka Tatsumi
  31. 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

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