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Basic modes in nuclear collective motion

Research Project

Project/Area Number 08044056
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research Field 素粒子・核・宇宙線
Research InstitutionThe University of Tokyo

Principal Investigator

OTSUKA Takaharu  The University of Tokyo, Graduate School of Science Professor, 大学院・理学系研究科, 教授 (20201379)

Co-Investigator(Kenkyū-buntansha) YOSHIDA Nobuaki  Kansai University Faculty of Informatics Professor, 総合情報学部, 教授 (80182773)
MIZUSAKI Takahiro  The University of Tokyo, Graduate School of Science Research Associate, 大学院・理学系研究科, 助手 (50251400)
ARIMA Akito  The Institute of Physical and Chemical Research The Chief Director, 理化学研究所, 理事長 (40011465)
NAKADA Hitoshi  Chiba Unversity Faculty of Science Research Associate, 理学部, 助手 (80221448)
SUGITA Michiaki  Japan Atomic Energy Research Institute researcher, 研究員
RICHARD F Ca  エール大学, 物理学教室, 教授
ADRIAN Gelbe  ケルン大学, 物理学教室, 教授
PETER von Br  ケルン大学, 物理学教室, 主任教授
金 佳恵  東京大学, 大学院・理学系研究科, 日本学術振興会特別研
本間 道雄  会津大学, 総合数理科学センター, 講師 (40264569)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥4,300,000 (Direct Cost: ¥4,300,000)
Fiscal Year 1997: ¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥2,100,000 (Direct Cost: ¥2,100,000)
KeywordsQ-phono / Beta band / gamma band / mixed-symmetry state / Interacting Boson Model / supersymmetry / U(6|4) group / O(6) / 相互作用するポゾン模型 / sd殻 / Pd / 混合対称状態 / ベータバンド / ベータ振動 / 奇核
Research Abstract

The following outcome has been obtained by this international collaboration involving three major institutions.
1) The Q-phonon scheme originally introduced for even-even nuclei s extended to odd-A nuclei. In particular, the structure of the supersymmetry of U(6|4) has been clarified. To be more precise, eigenstates within the same representation space were shown, in the previous study, to be produced by acting the quadrupole operator of U(6|4) on the ground state of each representation. In the present study, eigenstates are shown to be produced between different representations by utilizing supersymmetric operators. The Q-phonon theory has been extended to other supersymmetric cases like U(6|12) and U(6|20).
2) The so-called beta vibrational state is shown to be a mixture of multi beta-gamma excitations, in particular, that of the beta excitation and double gamma excitation. This trend is found to be consistent with experimental data taken by the Koeln and Yale groups.
3) The mixed symmetry states of 2+ and 3+ are studied by extending the idea of the Q-phonon. Many godd candidates of such states are found by the Koeln group for Mo, Xe, Ba and Pt regions.
4) A possible link between different representations of O(6) is suggested.
5) High spin states sre studied for Xe and Ba isotopes including experimental data from the Koeln group.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] I. Wiedenhover: "2^+ Mixed-Symmetry State in the O(6)-Like Nucleus ^<128>Xe"Phys. Rev. C. 56. R2354-R2357 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N. Yoshida: "IBFM2 Description of Odd Xe and Cs Isotopes"Nucl. Phys. A. 619. 65-87 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] A. Gade: "Non-Yrast States of ^<132>Ce Populated in β-Decay"Nucl. Phys. A. 643. 225-242 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] R. V. Jolos: "Supersymmetric Operator for the U(6/4) Dynamical Symmetry"Phys. Lett. B. 430. 1-8 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N. Pietralla: "2_1^+ and 2_2^+ States in Collective Nuclei as Multiple Q-Phonon Excitations"Phys. Rev. C. 57. 150-158 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N. Pietralla: "Symmetry Changing Transitions in γ-Soft Nuclei Studied in the Interacting Boson Moldel"Phys. Rev. C. 58. 191-197 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] I. Wiedenhover: "2ィイD1+ィエD1 Mixed-Symmetry State in the O(6)-Like Nucleus ィイD1128ィエD1Xe"Phys. Rev. C. 56. R2354-R2357 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N. Yoshida: "IBFM2 Description of Odd Xe and Cs Isotopes"Nucl. Phys. A. 619. 65-87 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] A. Gade: "Non-Yrast States of ィイD1132ィエD1Ce populated β-Decay"Nucl. Phys. A. 643. 225-242 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] R. V. Jolos: "Supersymmetry Operator for the U(6/4) Dynamical Symmetry"Phys. Lett. B. 430. 1-8 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N, Pietralla: "2ィイD21ィエD2+ and 2ィイD22ィエD2+ States in Collective Nuclei as Multiple Q-Phonon Excitations"Phys. Rev. C. 57. 150-158 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N. Pietralla: "Symmetry Changing Transitions in γ-Soft Nuclei Studied in the Interacting Boson Model"Phys. Rev. C. 58. 191-197 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] I.Wiedenhoever: "2^+ Mixed symmetry state in the O(6)-like nucleus ^<128>Xe" Physical Review C. 56. R2354-R2357 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Yoshida: "EBFM2 description of odd Xe and Ce isotopes" Nuclear Physics A. 619. 65-87 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Pietralla: "2^+_1 and 2^+_2 states in collective nuclei as multiple Q-phonon excitations" Physical Review C. 57. 150-158 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] R.V.Jolos: "Supersymmetry operator for the U(6|4) dynamical symmetry" Physics Letters B. (to be published).

    • Related Report
      1997 Annual Research Report
  • [Publications] K.-H.Kim: "Supersymmetric Multiphonon Structure" Phys.Rev.Lett.76. 3514-3517 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.-H.Kim: "IBM-2 Calculations of even-even Pd Nuclei" Nucl.Phys.A. 604. 163-182 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Sugita: "El Transitions in Rare Earth Nuclei and the SPDF Boson Model" Phys.Lett.B. 389. 642-648 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Utsuno: "Distribution of E2 Excitations in sdshell Nuclei" Phys.Lett.in press.

    • Related Report
      1996 Annual Research Report
  • [Publications] U.Neuneyer: "Coincidence and Correlation analysis for Low Spin States in ^<128>Xe" Nucl.Phys.A.607. 299-326 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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