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Theoretical Study of the Dynamics of Nuclear Self-Consistent Fields

Research Project

Project/Area Number 01540229
Research Category

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

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionUniversity of Tsukuba

Principal Investigator

MARUMORI Toshio  Inst. of Phys., Univ. of Tsukuba, 物理学系, 教授 (10037145)

Co-Investigator(Kenkyū-buntansha) HASHIMOTO Yukio  Inst. of Phys., Univ. of Tsukuba, 物理学系, 助手 (50189510)
UNE Tsutomu  Inst. of Phys., Univ. of Tsukuba, 物理学系, 講師 (60015766)
KOHMURA Toshitake  Inst. of Phys., Univ. of Tsukuba, 物理学系, 助教授 (20015556)
岸本 照夫  筑波大学, 物理学系, 助教授 (30132989)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1991: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1990: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1989: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsNuclear Dynamics / Self-Consistent Field / Collective Motion / Large-Amplitude / Nonlinear Resonance / Effective Interaction / Hadronic System / Relativistic System / 非線形動力学 / 大振幅集団運動 / ハドロン多体問題 / 相対論的有限系 / 原子核の回転運動 / 原子核の自己無撞着性 / 自己無撞着集団座標の方法 / 相対論的ハドロン多性問題 / 自己無撞着有効相互作用 / 原子核の集団回転運動 / 相対論的多体問題
Research Abstract

1. Applying the self-consistent collective coordinate(SCC)method within the framework of the time-dependent Haxtree-Fock(TDHF)theory, the dynamical behavior of trajectories of many body states in a simple model was numerically simulated on the workstation. This investigation clarified that the instability of a regular motion is closely connected with the occurrence of non-linear resonances ; the resonances reorganize another type of regular i-notion. Under the condition that there exists a dense set of non-linear resonances, the collective motion exhibits dissipative behavior. The numerical simulations for the quantal formulation of the SCC method have also been carried out, which show a good correspondence to those in the TDHF case.
2. (1)The SCC method was applied to nudeer collective rotation and the numerical calculation for the ground rotational band was carried out ; it has made dear that the couplings to vibrational and low-lying ioncollective modes modify the property of collect … More ive rotation.
(2)The theory for the self-consistent effective interactions was applied to the case that there are velocity-dependent terms in the nuclear mean field. It was shown that the derived interactions give large effects on collective rotation. The self-consistent effective three-body interaction was shown to play an essential role in maintaining the integrity of coexistent collective modes.
(3)The transition of collective to noncollective rotation at the band termination was followed y the generator coordinate method.
3. For finite nuclei as relativistic hadronic many-body systems, a theory for generalizing self-consistent field which incorporates nucleon-nucleoft(lorrelations generated by mesons was formulated, and its effectiveness was confirmed by numerical calculation using relativistic wavepacket expansion. The formalism for a time-dependent generalized self-consistent field was also developed to investigate the stability of the relativistic Hartree state in finite nuclei ; this investigation clarified that it is inevitable to take nucleons in negative-energy states into account.
In summary, this project, based on the theories which were proposed originally by this group, has carried out many extensions and applications and prepared for. the future development of the theories. Less

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] 坂田 文彦: "Breaking of Separability Condition for Dynamical Collective Subspace" Progress of Theoretical Physics. 82. 965-987 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 橋本 幸男: "A Microscopic Theory of Dissipative Nuclear Collective Motions" Thermal Field Theories(North Holland). 223-231 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 寺崎 順: "Microscopic Description of Nuclear Collective Rotation by Means of the Selfーconsistent Collective Coordinate Methocl" Progress of Theoretical Physics. 85. 1235-1270 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 坂本 秀生: "Microscopic Analysis of Nuclear Collective Motions in Terms of the Boson Expansion Theory" Nuclear Physics. A528. 73-143 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M.Cauvin: "Nuclear Saturation Induced by Meson-meson Interaction" Physics Letters. B249. 381-385 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] E.J.Kim: "Nonlinear σ-σ Interactions and the Role of the Negative Energy Sector in the Relativistic Mean-Field Approximation" Nuclear Physics A. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] F. Sakata: "Breaking of Separability Condition for Dynamical Collective Subspace" Prog. Theor. Phys.82. 965-987 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y. Hashimoto: "A Microscopic Theory of Dissipative Nuclear Collective Motions" Thermal field Theories. 223-231 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] J. Terasaki: "Microscopic Description of Nuclear Collective Rotation by Means of the Self-consistent Collective Coordinate Method - Occurrence Mechanism of Collective Rotation" Prog. Theor. Phys.85. 1235-1270 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Sakamoto: "Microscopic Analysis of Nuclear Collective Motions in Terms of the Boson Expansion Theory (II) Numerical Calculations" Nucl. Phys.A528. 73-143 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Cauvin: "Nuclear Saturation Induced by Meson-Meson Interaction" Phys. Lett.B249. 381-385 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] E. J. Kim: "Nonlinear sigma - sigma Interactions and the Role of the Negative Energy Sector in the Relativistic Mean-Field Approximation" Nucl. Phys. A. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 岸本 照夫: "Exact Relation between Dynamical Nuclear Field Theory and Boson Expansion Theory in a TammーDancoffーBoson System" Progress of Theoretical Physics. 85. 1057-1077 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 寺崎 順: "Microscopic Description of Nuclear Collective Rotation by Means of the Selfーconsistent Collective Coordinate Method" Progress of Theoretical Physics. 85. 1235-1270 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 橋本 幸男: "A Microscopic Theory of Dissipative Nuclear Collective Motions" Thermal Field Theories (North Holland). 223-231 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] V.Gillet: "Relativistic Models of Nuclear structure" Proceedings of Predeal Summer School,Romania (World Scientific). (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] E.J.Kim: "Nonliear σーσ Interactions and the Role of the Negative Energy Sector in the Relativistic MeanーField Approximation" Nuclear Physics A. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 梶山 智晴: "Instability of the Relativistic MeanーField States for Finite Nuclei" Nuclear Physics A.

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Cauvin: "Nuclear Saturation induced by MesonーMcson Interaction" Physics Letters. B249. 381-385 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] E.J.Kim: "Nonlinear δーδ Interactions and the Role of the Nega tiveーEnergy Sector in the Relativistic mesonーField Appraximation" Nuclear Physics.

    • Related Report
      1990 Annual Research Report
  • [Publications] J.Terasaki: "Microscopic Description of Nuclear Collective Rotation by means of the SelfーConsistent Collective Coordirate Methad" Progress of Theoretical Physics.

    • Related Report
      1990 Annual Research Report
  • [Publications] F.Sakata,T.Marumori,Y.Hashimoto,H.Tsuruma and K.Iwasawa: "Nuclear Dynamics" NorthーHolland, 93-107 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y,Hashimoto,K.Iwasawa,T.Marumori and F.Sakata: "ThermoーField Theories and Their Applications" NorthーHolland, (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Fumihiko Sakata: "Master Equations in the Microscopic Theory of Nuclear Callective Dynamics" Annals of Physics. 194. 30-64 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Fumihiko Sakata: "Breaking of Separability Condition for Dynamical Collective Subspace" Progress of Theoretical Physics. 82. 965-987 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Toshio Marumori: "A Microscopic Theory of Nuclear Dissipative Collective Dynamics" Nuclear Physics A.

    • Related Report
      1989 Annual Research Report
  • [Publications] Hideo Sakamoto: "Self-Consistent Effective Interactions in Nuclei(II)" Nuclear Physics. A501. 242-269 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Shin-ichi Kinouchi: "Nuclear Collective Rotation in the SV_3 Model(II)" Progress of Theoretical Physics.

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Kohmura: "Stability of Relativistic Hartree States" Pbysics Letters B. 226. 207-212 (1989)

    • Related Report
      1989 Annual Research Report

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

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