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Prog. Theor. Phys. Vol. 66 No. 3 (1981) pp. 948-963

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

Reaction Matrix Calculations in Neutron Matter with Alternating-Layer-Spin Structure under π0 Condensation. I

— Formulation —

Kyuichiro Tamiya and Ryozo Tamagaki

Department of Physics, Kyoto University, Kyoto 606

(Received March 10, 1981)

Abstract:

Based on the viewpoint that a typical π0 condensation is realized with the [ALS] (Alternating-Layer-Spin) structure of nucleon system, a framework to calculate the energy of neutron matter under such a new phase is presented in the reaction matrix theory. This enables us to treat both effects on equal footing; the long-range effect dominated by the OPEP tensor component with the enhancement due to the mixing of Δ(1236MeV) and the sort-range effect much influenced by repulsive core and spin-orbit force. Starting with the [ALS] model wave function constructed on the Bloch basis which assures to take the limit of no localization, we have the expressions for energy quantities expressed by the partial-wave contributions. This scheme provides a way to understand the mechanism of energy gain in the new phase, by making use of the notions of the ordinary unclear matter theory such as the potential picture and the partial waves. Some numerical examples are shown.


URL : http://ptp.ipap.jp/link?PTP/66/948/
DOI : 10.1143/PTP.66.948

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

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1361-1377 :
    Reaction Matrix Calculations in Neutron Matter with Alternating-Layer-Spin Structure under π0 Condensation. II
    Kyuichiro Tamiya and Ryozo Tamagaki
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1231-1247 :
    A Realistic Approach to Charged Pion Condensation in Neutron Matter
    Toshitaka Tatsumi
  5. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1308-1311 :
    Quark ALS Structure with Condensed π0 Field in Chiral Bag Model
    Ryozo Tamagaki, Toshitaka Tatsumi and Ikuo Watanabe
  6. Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 569-584 :
    Quark Spin-Flavor Layered Structure of High Density Matter with Condensed π0 Field in Chiral Bag Model
    Ryozo Tamagaki, Toshitaka Tatsumi and Ikuo Watanabe
  7. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 252-265 :
    Proton Mixing in π0-Condensed Phase of Neutron Star Matter
    Tatsuyuki Takatsuka
  8. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 563-581 :
    One-Gluon-Exchange Effects and Stability of the Quark Alternating Layer Spin-Flavor Structure in High-Density Nuclear Matter
    Toshitaka Tatsumi, Ikuo Watanabe and Ryozo Tamagaki
  9. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 683-702 :
    Pion Condensation and Alternating Layer Spin Model in Symmetric Nuclear Matter
    Teiji Kunihiro, Tatsuyuki Takatsuka and Ryozo Tamagaki
  10. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 725-735 :
    Investigation of Pion-Like Collective Excitations in Neutron Matter through Boson Expansion Techniques
    C. A. de Sousa
  11. 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
  12. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 516-520 :
    Pion-Condensed Neutron Star and Supernova 1987A
    Tatsuyuki Takatsuka
  13. 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
  14. 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
  15. 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
  16. Progress of Theoretical Physics Vol. 94 No. 3 (1995) pp. 457-461 :
    Nucleon Superfluidity in Kaon-Condensed Neutron Stars
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  17. 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
  18. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
    Ryozo Tamagaki
  19. Progress of Theoretical Physics Supplement No.112 (1993) pp. 123-157 :
    Chapter V. Toward Realistic Treatment of Neutral Pion-Condensed State
    Teiji Kunihiro, Tatsuyuki Takatsuka, Ryozo Tamagaki and Toshitaka Tatsumi
  20. 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
  21. 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

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