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Study of Hypernuclei using Realistic Hyperon-Nucleon Interactions in the SU_6 Quark Model

Research Project

Project/Area Number 12640265
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

FUJIWARA Yoshikazu  Kyoto University, Department of Physics, Lecturer, 大学院・理学研究科, 講師 (70199397)

Co-Investigator(Kenkyū-buntansha) KOHNO Michio  Kyushu Dental College, Physics Division, Professor, 歯学部, 教授 (40234710)
SUZIKI Yasuyuki  Niigata University, Department of Physics, Professor, 理学部, 教授 (70018670)
IMAI Kenichi  Kyoto University, Department of Physics, Professor, 大学院・理学研究科, 教授 (70025493)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsQuark Model / Hyperon-Nucleon Interaction / Hyperon-Hyperon Interaction / Strangeness / Resonating-Group Method / Hypernuclei / ストレィンジネス
Research Abstract

The recent QCD-inspired spin-flavor SU_6 quark model for the baryon-baryon interaction, proposed by the Kyoto-Niigata group, is a unified model for the complete baryon octet (B_8=N, Λ, Σ and Ξ), which has achieved very accurate descriptions of the NN and YN interactions. In particular, the nucleon-nucleon (NN) interaction of the most recent model fss2 is accurate enough to compare with recent realistic meson-exchange models. These quark-model interactions can be used for realistic calculations of few-baryon systems and various types of baryonic matter through the Faddeev formalism and G-matrix calculations. In order to achieve this, we first formulated a three-cluster equation which explicitly uses two-cluster resonating-group-method (RGM) kernels. This equation eliminates 3-cluster redundant components by the orthogonality of the total wave function to two-cluster Pauli-forbidden states. The explicit energy dependence inherent in the exchange RGM kernel is self-consistently determined. This equation is straightforwardly transformed into the Faddeev equation, which uses a modified singularity-free T-matrix constructed from the two-cluster RGM kernel (RGM T-matrix). We applied this formalism to the 3N system and obtained very satisfactory result for the triton binding energy without reducing the D-state probability of the deuteron. Applications to ^9_ΛBe and ^6_<ΛΛ>He systems show that the Faddeev formalism using the 2α RGM kernel is very promising and that the ΛΛ interaction of our fss2 is consistent with the recent Nagara event for ^6_<ΛΛ>He.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] 藤原 義和(Y.Fujiwara): "G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction"Progress of Theoretical Physics. 104巻・5号. 1025-1040 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Interactions between Octet Baryons in the SU_6 Quark Model"Physical Review C. 64巻・5号. 054001-1-054001-6 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Resonating-Group Study of Baryon-Baryon Interactions for the Complete Baryon Octet : NN Interaction"Physical Review C. 65巻・1号. 014002-1-014002-24 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Three-Cluster Equation Using Two-Cluster RGM Kernel"Progress of Theoretical Physics. 107巻・4号. 745-757 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Redundant Components in the 3α Faddeev Equation Using 2α RGM Kernel"Progress of Theoretical Physics. 107巻・5号. 993-1000 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Triton Binding Energy Calculated from the SU_6 Quark-Model Nucleon-Nucleon Interaction"Physical Review C. 66巻・2号. 021001-1-021001-5 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, M. Kohno, C. Nakamoto, Y. Suzuki: "G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction"Progress of Theoretical Physics. 104. 1025-1040 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, M. Kohno, C. Nakamoto, Y. Suzuki: "Interactions between Octet Baryons in the SU_6 Quark Model"Physical Review C. 64. 054001-1-054001-6 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, T. Fujita, M. Kohno, C. Nakamoto, Y. Suzuki: "Resonating-Group Study of Baryon-Baryon Interactions for the Complete Baryon Octet: NN Interaction"Physical Review C. 65. 014002-1-014002-24 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, H. Nemura, Y. Suzuki, K. Miyagawa, M. Kohno: "Three-Cluster Equation Using Two-Cluster RGM Kernel"Progress of Theoretical Physics. 107. 745-757 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, Y. Suzuki, K. Miyagawa, M. Kohno, H. Nemura: "Redundant Components in the 3α Faddeev Equation Using 2α RGM Kernel"Progress of Theoretical Physics. 107. 993-1000 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Fujiwara, K. Miyagawa, M. Kohno, Y. Suzuki, H. Nemura: "Triton Binding Energy Calculated from the SU_6 Quark-Model Nucleon-Nucleon Interaction"Physical Review C. 66. 21001-1-21001-5 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 藤原 義和(Y.Fujiwara): "Three-Cluster Equation Using Two -Cluster RGN Kernel"Progress of Theoretical Physics. 107巻・4号. 745-757 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Redundant Components in the 3 α Faddeev Equation Using 2 αRGM Kernel"Progress of Theoretical Physics. 107巻・5号. 993-1000 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Triton Binding Energy Calculated from the SU_6 Quark-Model Nucleon-Nucleon-Interaction"Physical Review C. 66巻・2号. 021001-1-021001-5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 根村 英克(H.Nemura): "Ab Initio Approach to s-Shell Hypernuclei, ^3_ΛH, ^4_ΛH, ^4_ΛHe and ^5_ΛHe with a Realistic ΛN-ΣN Interaction"Physical Review Letters. 89巻・14号. 142504-1-142504-4 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Three-Nucleon Bound State in SU_6 Quark Model for the Baryon-Baryon Interaction"Nuclear Physics A. (発表未定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Interactions between octet baryons in the SU_6 quark model"Physical Review C. 64巻・5号. 054001-1-054001-6 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Resonating-group study of baryon-baryon interactions for the complete baryon octet : NN interaction"Physical Review C. 65巻・1号. 014002-1-014002-24 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 藤原 義和(Y.Fujiwara): "Three-Cluster Equation Using Two-Cluster RGM Kernel"Progress of Theoretical Physics(発表予定). 107巻・4号. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 高橋 仁(H.Takahashi): "Observation of a ^6_∧∧ He double hypernucleus"Physical Review Letters. 87巻・21号. 212502-1-212502-5 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 仲本 朝基(C.Nakamoto): "ΞN interaction in the SU_6 quark model"Nuclear Physics A. 691巻・1,2号. 238c-241c (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 藤原義和(Y.Fujiwara): "Single-Particle Spin-Orbit Strengths of the Nucleon and Hyperons by SU_6 Quark-Model"Nuclear Physics. A674巻. 493-514 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 河野通郎(M.Kohno): "Hyperon Single-Particle Potentials Calculated from SU_6 Quark-Model Baryon-Baryon Interactions"Nuclear Physics. A674巻. 229-245 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 藤原義和(Y.Fujiwara): "Lippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU_6 Quark Model"Progress Theoretical Physics. 103巻、4号. 755-794 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 根村英克(H.Nemura): "Study of Light Λ-and ΛΛ-Hypernuclei with the Stochastic Variational Method and Effective ΛN Potentials"Progress Theoretical Physics. 103巻、5号. 929-958 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 藤原義和(Y.Fujiwara): "G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction"Progress Theoretical Physics. 104巻、5号. 1025-1040 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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