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Theoretical Study of Three-and Four-Nucleon Systems

Research Project

Project/Area Number 01540227
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionTohoku University

Principal Investigator

SASAKAWA Tatuya  Tohoku University, Faculty of Science, Professor, 理学部, 教授 (60004264)

Co-Investigator(Kenkyū-buntansha) ISHIKAWA Souechi  Tohoku University, Faculty of Science, Assistant, 理学部, 助手 (50184479)
SAWADA Tatsuro  Nara Women's University, Faculty of Science, Professor, 理学部, 教授 (30029566)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsThree-body force / piNN-, rhoNN cut-off mass / Mass difference of ^3H and ^3He / Charge symmetry breaking / Gamov-Teller matrix element / y-scaling / Radiative capture of polarized deuteron / Faddeev equation / πNNー,ρNN・形状因子 / πNNー,ρNNー切断音量 / ガモラ・テラ-行列要素 / yスケ-リング / △の非静的効果 / ^3Hと ^3Heの質量差 / ファデエフ方程式 / 荷電独立 / 荷電対称 / ベ-タ崩壊 / 分解能 / 中性子・重陽子散乱
Research Abstract

We made a code by which a Faddeev equation with three-body force, Coulomb force, charge asymmetry and charge dependent forces is very quickly solved. Utilizing this code we obtained the following results.
1. Taking account of a rho- and pi-meson exchange three-body force effect, we obtain the triton binding energy of 8.44MeV, which is very close to the experimental value of 8.48MeV.
2. We obtained ^3H-^3He mass difference of 760<plus-minus>14keV, which is very close to the experimental value of 7.64keV.
3. We obtained the Gamov-Teller matrix element of ROO<3>(0.962<plus-minus>0.002), which agrees with the experimental value.
4. Through these calculations we conclude LAMBDA_<piNN> = 0.8GeV and LAMBDA_<rhoNN> = 1.3-1.5GeV.
5. We showed that the rho-, pi-exchange three nucleon potential can reproduce the y-scaling.
6. We showed that the analyzing power of the radiative capture of the polarized deuteron can be reproduced only by taking account of a three-body force.
7. We derived the Faddeev equation on the basis of a new Mphiller matrix theory.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (47 results)

All Other

All Publications (47 results)

  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3Hー^3He BindingーEnergy Difference" Physical Review Letters. 64. 1875-1878 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu, S.Ishikawa and T.Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3Hー^3He BindingーEnergy Difference" Physical Review Letters (Errata). 66. 242 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Y.Saiti, S.Ishikawa and T.Sasakawa: "Triton beta decay" Physics Letters B. 242. 12-16 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Sawada, K.Thushima and K.Miyagawa: "On the Triad of ThreeーBody LippmannーSchwinger Equatiーons" Prog.Theor.Phys.83. 522-539 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Sawada, K.Miyagawa and K.Thushima: "NonーCompactness of the Kernel of a 3ーBody Lippmannー Schwinger Equation in the Absonce of Rearrangement Channels" Prog. Theor. Phys.83. 1156-1164 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu, S.Ishikawa and T.Sasakawa: "Charge Symmetry breaking in the ^3Hー^3He Systems" Proceedings of the Symposium/Workshop on Spin and Symmetries ed.by W.D.Ramsay and W.T.H.van Oers TRIー89ー5. 245-254 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Sasakawa: "Recent Studies on Three Nucleon Systems in Sendai" Electron Nuclens Scattering ed. by A.Fabrocini et al.(World Scientific). 196-212 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu, S.Ishikawa and T.Sasakawa: "Method of Continued Fractions with Application to ThreeーNucleon Problems" Proc.Internat´l Conf. on Computational Physics, ed.by Li de Yuan and Feng Da Hsuan(World Scientific). 222-232 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 笹川 辰弥: "第12回少数粒子物理学国際会議" 日本物理学会誌. 44. 918-920 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Saito, Y.wu, S.Ishikawa and T.Sasakawa: "Triton βーdecay with exact wave functions" Abstracts of The XXIII Yamada Conference on Nuclear Weak Process and Nuclear Structure ed.by M.Morita et al.20-21 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu, S.Ishikawa and t.Sasakawa: "The effects of charge dependence and asymmetry of forces on the mass difference of ^3H and ^3He" Few Body XII, TRIUMF TRIー89ー2 ed.by B.K. Jonnings(1989). D31 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Takahashi, S.Ishikawa and T.Sasakawa: "ρーmeson exchange threeーnucleon force effects" Few Body XII, TRIUMF TRIー89ー2 ed. by B.K. Jennings(1989). D40 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Ishikawa and T.Sasakawa: "Calculation of the neutronーdeuteron elastic scattering using realistic NーN potentials" Few Body XII, TRIUMF TRIー89ー2 ed. by B.K. Jennings(1989). D46 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu, S.Ishikawa and T.Sasakawa: "The Effects of Charge Dependence and Asymmetry of Nuclear Forces on the Mass Difference of H and He" 少数粒子系物理学研究会報告(RCNPーPー106). 1-5 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Sasakawa: "Is there any quark effect seen in triton ?" 少数粒子系物理学研究会報告(RCNPーPー106). 113-121 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 笹川 辰弥: "散乱理論" 裳華房, (300)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Wu, S. Ishikawa and T. Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3H-^3He Binding-Energy Difference" Physical Review Letters. 64. 1875-1878 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Wu, S. Ishikawa and T. Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3H-^3He Binding-Energy Difference (Errata)" Physical Review Letters. 66. 242 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Y. Saito, S. Ishikawa and T. Sasakawa: "Triton Beta Decay" Physics Letters B. 242. 12-16 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Sawada, K. Thushima and K. Miyagawa: "On the Triad of Three-Body Lippmann-Schwinger Equations" Prog. Theor. Phys. 83. 522-539 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Sawada, K. Miyagawa and K. Thushima: "Non-Compactness of the Kernel of a 3-Body Lippmann-Schwinger Equation in the Absence of Rearrangement Channels" Prog. Theor. Phys. 83. 1156-1164 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Wu, S. Ishikawa and T. Sasakawa: "Charge Symmetry Breaking in the ^3H-^3He systems" Proceedings of the Symposium/Workshop on Spin and Symmetry ed. by W. D. Ramsay and W. T. H. van Oers. TRI-89-5. 245-254 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Sasakawa: "Recent Studies on Three Nucleon Systems in Sendai" Electron Nucleon Scattering ed. by A. Fabrocini et al. (World Scientific). 196-212 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Wu, S. Ishikawa and T. Sasakawa: "Method of Continued Fractions with Application to Three-Nucleon Problems" Proc. Internat'1 Conf. on Computational Physics, ed. by Li de Yuan and Freng Da Hauan (World Scientific). 196-212 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Saito, Y. Wu, S. Ishikawa and T. Sasakawa: "Triton beta-decay with Exact Wave Functions" Abstracts of the XXIII Yamada Conference on Nuclear Weak Process and Nuclear Structure ed. by M. Morita et al.20-21 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Wu, S. Ishikawa and T. Sasakawa: "The Effects of Charge Dependence and Asymmetry of Forces on the Mass Difference of ^3H and ^3He" Few Body XII, TRIUMF TRI-89-2 ed. by B. K. Jennings. D31. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Takahashi, S. Ishikawa and T. Sasakawa: "rho-meson Exchange Three-Nucleon Force Effects" Few Body XII, TRIUMF TRI-89-2 ed. by B. K. Jennings. D40. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Ishikawa and T. Sasakawa: "Calculation of the Neutron-Deuteron Elastic Scattering Using Realistic N-N Potentials" Few Body XII, TRIUMF TRI-89-2 ed. by B. K. Jennings. D46. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3Hー ^3He BindingーEnergy Difference" Physical Review Letters. 64. 1875-1878 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3Hー ^3He Binding Energy Difference" Physical Review Letters(Errata). 66. 242 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Y.Saito,S.Ishikawa and T.Sasakawa: "Triton beta decay" Physics Letters B. 242. 12-16 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Sawada,K.Thushima and K.Miyagawa: "On the Triad of ThreeーBody LippmannーSchwinger Equations" Prog.Theor.Phys.83. 522-539 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Sawada,K.Miyagawa and K.Thushima: "NonーCompactness of the Kernel of a 3ーBody LippmannーSchwinger Equation in the Absonce of Rearrangement Channels" Prog.Theor.Phys.83. 1156-1164 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.Wu,S.Ishikawa and: "Charge Symmetry breaking in the HーHe Systems" Proceedings of the Symposium/Workshop on Spin and Symmetries ed.by W.D.Ramsay and W.T.H.van Oers TRIー89ー5. 245-254 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] 笹川 辰弥: "散乱理論" 裳華房, 300 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "Nuclear Charge Asymmetry and Charge Dependence and the ^3H-^3He Binding Energy Difference" Physical Review Letters.

    • Related Report
      1989 Annual Research Report
  • [Publications] T-Y.Saito,Y.wu,S.Ishikawa and T.Sasakawa: "Triton Beta Decay" Physics Letters B.

    • Related Report
      1989 Annual Research Report
  • [Publications] 笹川辰弥: "第12回少数粒子物理学国際会議" 日本物理学会誌. 44. 918-920 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Sawada,K.Thushima and K.Miyagawa: "On the Triad of Three-Body Lippmann-Schwinger Equations" Progress of Theoretical Physics. 83. 3 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Sasakawa: "Recent Studies on Three Nucleon Systems in Sendai" Electron Nuclens Scattering ed.by A.Fabrocini et al.(World Scientific). 196-212 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Y.Wu,S,Ishikawa and T.Sasakawa: "Method of Continued Fractions With Application to Three-Nucleon Problems" Proc.Internat'l Conf.on Computational Physics,ed.by Li de Yuan and Feng De Hsuan(World Scientific). 222-232 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Saito,Y.Wu,S.Ishikawa and T.Sasakawa: "Triton β-decay with exact wave functions" Abstracts of the XXIII Yamada Conference on Nuclear Weak Process and Nuclear Structure ed.by M.Morita et al.20-21 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "The effects of charge dependence and asymmetry of forces on the mass difference of ^3H and ^3He" Few Body XII,TRIUMF TRI-89-2 ed.by B.K.Jennings(1989). D31 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Takahashi,S.Ishikawa and T.Sasakawa: "P-meson exchange three-nucleon force effects" Few Body XII,TRIUMF TRI-89-2 ed.by B.K Jennings(1989). D40 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Ishikawa and T.Sasakawa: "Calculationof the neutron-denteron elastic scattering using realistic N-N potentials" Few Body XII,TRIUMF TRI-89-2 ed.by B.K.Jennings(1988). D46 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Y.Wu,S.Ishikawa and T.Sasakawa: "The Effects of Charge Dependence and Asymmetry of Nuclear Forces on the Mass Difference of ^3H and ^3He" 少数粒子系物理学研究会報告(RCNP__-P__ー106). 1-5 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Sasakawa: "Is there any quark effect seen in triton?" 少数粒子系物理学研究会報告(RCNP__-P__-106). 113-121 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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