Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 72 No. 2 (1984) pp. 252-265

[ Full Text PDF : FREE ACCESS (831K) ]

Proton Mixing in π0-Condensed Phase of Neutron Star Matter

Tatsuyuki Takatsuka

College of Humanities and Social Sciences, Iwate University, Morioka 020

(Received March 26, 1984)

Abstract:

The mixing of protons in neutron star matter under the occurrence of π0 condensation is studied in the framework of the ALS (Alternating Layer Spin) model and with the effective interaction approach. It is found that protons are likely to mix under the situation and cause a remarkable energy gain from neutron matter as the density increases. The extent of proton mixing becomes larger by about a factor (1.5∼2.5) according to the density ρ≃(2-5)ρ0, ρc being the nuclear density, as compared with that for the case without pion condensation. The reason can be attributed to the two-dimensional nature of the Fermi gas state characteristic of the nucleon system under π0 condensation.


URL : http://ptp.ipap.jp/link?PTP/72/252/
DOI : 10.1143/PTP.72.252

[ Full Text PDF : FREE ACCESS (831K) ] Citation:


References:

  1. T. Takatsuka, Lecture Note in Physics vol. 198 (Springer, 1983), 76.
  2. J. Nemeth and D. W. L. Sprung, Phys. Rev. 176 (1968), 1496[APS].
  3. S. Ikeuchi, S. Nagata, T. Mizutani and K. Nakazawa, Prog. Theor. Phys. 46 (1971), 95[PTP].
  4. D. Ellis and D. W. L. Sprung, Can. J. Phys. 50 (1972), 2277.
  5. As review articles:
    A. B. Migdal, Rev. Mod. Phys. 50 (1978), 107[APS].
    G. E. Brown and W. Weise, Phys. Rep. C27 (1976), 1.
    G. Baym and D. K. Campbell, Mesons in Nuclei, ed. M. Rho and D. H. Wilkinson (North-Holland, 1979), vol. III, chap. 3.
  6. H. J. Pirner, K. Yazaki, P. Bonche and M. Rho, Nucl. Phys. A329 (1979), 491[Elsevier].
  7. T. Tatsumi, Prog. Theor. Phys. 63 (1980), 1252[PTP].
  8. W. H. Dickhoff, Amand Faessler, J. Meyer-ter-Věhn and H. Müther, Phys. Rev. C23 (1981), 1154[APS].
  9. T. Kunihiro and T. Tatsumi, Prog. Theor. Phys. 65 (1981), 613[PTP].
  10. K. Tamiya and R. Tamagaki, Prog. Theor. Phys. 66 (1981), 948[PTP]; ibid. 66 (1981), 1361[PTP].
  11. T. Takatsuka, Y. Saito and J. Hiura, Prog. Theor. Phys. 67 (1982), 254[PTP].
  12. O. Benhar, Phys. Lett. 124B (1983), 305.
  13. N. C. Chao, J. W. Clark and C. H. Yang, Nucl. Phys. A179 (1972), 320[Elsevier].
  14. T. Takatsuka, Prog. Theor. Phys. 50 (1973), 1754[PTP]; ibid. 50 (1973), 1755[PTP].
  15. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 65 (1981), 1333[PTP].
    T. Takatsuka, Lecture Note in Physics, vol. 142 (Springer, 1981), p. 452.
  16. For example, S. Tsuruta, Phys. Rep. 56 (1979), 273, and the related papers cited therein.
  17. For example, D. Pines, Proceedings of the 16th Solvay Congress on Physics (1974 Editions de l' Universitě de Bruxells), p. 174, and the related papers cited therein.
  18. T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 58 (1977), 694[PTP].
    T. Takatsuka, K. Tamiya, T. Tatsumi and R. Tamagaki, Prog. Theor. Phys. 59 (1979), 1933[PTP].
    R Tamagaki, Nucl. Phys. A328 (1979), 352[Elsevier].
  19. T. Matsui, K. Sakai and M. Yasuno, Prog. Theor. Phys. 60 (1978), 442[PTP].
  20. T. Takatsuka and J. Hiura, Prog. Theor. Phys. 60 (1978), 1234[PTP].
  21. K. A. Brueckner and J. Dabrowski, Phys. Rev. 134 (1964), B772[APS].
  22. D. W. L. Sprung and P. K. Banerjee, Nucl. Phys. A168 (1971), 273[Elsevier].
  23. R. V. Reid, Ann. of Phys. 50 (1968), 411[CrossRef].
  24. P. J. Siemens and V. R. Pandharipande, Nucl. Phys. A173 (1971), 561[Elsevier].
  25. T. R. Mongan, Phys. Rev. 178 (1969), 1597[APS].
  26. K. Tamiya and R. Tamagaki, Prog. Theor. Phys. 60 (1978), 1753[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 362-375 :
    π0 Condensation in Dense Symmetric Nuclear Matter at Finite Temperature
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 82 No. 3 (1989) pp. 475-480 :
    Characteristic Features and Releasable Energy of Hot Neutron Stars
    Tatsuyuki Takatsuka
  5. Progress of Theoretical Physics Vol. 85 No. 3 (1991) pp. 427-432 :
    Spin-Up of Hot Neutron Stars Just Born by the Subsequent Cooling
    Tatsuyuki Takatsuka
  6. 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
  7. Progress of Theoretical Physics Vol. 86 No. 4 (1991) pp. 853-866 :
    Effective Two-Nucleon Interaction in Asymmetric Nuclear Matter
    Shigeru Nishizaki, Tatsuyuki Takatsuka, Naohiro Yahagi and Jun Hiura
  8. Progress of Theoretical Physics Vol. 89 No. 2 (1993) pp. 395-413 :
    Quantum Theory of Layer Vibration in the Layer-Structured Fermi Fluid
    Koichi Takahashi and Tatsuo Tsukamoto
  9. Progress of Theoretical Physics Supplement No.112 (1993) pp. 197-219 :
    Chapter VII. Neutral Pion Condensation in Hot and Dense Nuclear Matter
    Teiji Kunihiro, Tatsuyuki Takatsuka and Ryozo Tamagaki
  10. 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