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Study of Nuclear Resonance States by Means of Complex Scaling Method

Research Project

Project/Area Number 08640340
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 InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

KATO Kiyoshi  Grad.School of Sci., Hokkaido Univ.Asso.Prof., 大学院・理学研究科, 助教授 (20109416)

Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1996: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsNeutron-Rich Nuclei / Complex Scaling Method / Resonances / Extended Completeness Relation / Sum-Rule / Pairing / Pauli Blocking / 原子核 / 強度関数 / ソフトダイポール共鳴 / E1和則値 / ソフト・ダイポール励起 / クーロン分解反応
Research Abstract

In this project, we have performed the following subjects :
A) Study about resonance states of various kinds of nuclear systems by means of the complex scaling method, and
B) Development of the complex scaling method in order to apply to various kinds of analyses of resonance phenomena.
For these subjects, we have obtained the following results :
A-1) In studies of neutron-rich. nuclei,
(i) we performed investigations of the neutron halo structure using a core+n+n cluster model, and obtained important results on the evidence of pairing correlations in neutron-rich nuclei,
(ii) we discussed the inversion problem of s- and rho-orbits in unstable nuclei, and found the importance on the Pauli-blocking effect in Li-isotopes.
(iii) we analyzed energy shifts of weakly-bound and resonance states in mirror nuclei, and found that the barrier effect is very important in resonance states in addition to the Thomas-Ehrman shift in bound states.
A-2) Open channel effects on the mass spectrum of charmonium.
A-3) Resonance mechanism in the ^<12>C+^<12>C system.
B-1) A new calculational method of matrix elements of physical quantities between resonant states.
B-2) A new method to see the contributions from resonant states to the transition strength.
B-3) A new formalism of the extended completeness relation using the complex scaling method.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (49 results)

All Other

All Publications (49 results)

  • [Publications] M.Y. Fujimoto: "A Model of Deep Mixing in Globular Red Giants" The Astrophysical Journal (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] G.F. Filippov: "Analysis of the AMD Equation in the Simplest Cases" Physiscs in Atomic Nuclei. 62. 95-107 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K. Kato: "Dynamical Effects on the ^9Lin Interaction Induced by Pauli Blocking of the J^π=0^+ Pairing Correlation" Progress Theoretical Physics. 101. 119-138 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Aoyama: "The Mechanism of the Anomalous Energy Shift between s-States" Progress Theoretical Physics. 99. 623-634 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Myo: "Resonance and Continuum Components of the Strength Function" Progress Theoretical Physics. 99. 801-817 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Mukai: "A Study of the Binding Mechanism of ^<11>Li by the ^9Li+n+n Model" Progress Theoretical Physics. 99. 381-394 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Aoyama: "Thomas-Ehrman Effect on s_<1/2> and p_<1/2> Resonance States in ^<10>C+p" Physical Review C. 57. 975-977 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 加藤 幾芳: "複素座標スケーリング法による不安定核の研究" 日本物理学会誌. 52. 111-115 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] G.F.Filippov: "^6He as a three-cluster systemーInvestigation of the ground state and continuum 0^+ statesー" Progress Theoretical Physics. 96. 575-595 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kiyoshi Kato: "Resonance states in the ^<12>C-^<12>C Morse potential" Physical Review C. 55. 1928-1936 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] G.F.Filippov: "Asymptotic equations in the harmonic oscillator representation" 〓ournal of Nucl. Phys. (Russia). 60. 554-557 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Mitsuo Homma: "Matrix Elements of Physical Quantities Associated with Resonance States" Progress of Theoretical Physics. 97. 561-567 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama: "Resonances in ^9He and ^<10>He" Physical Review C. 55. 2379-2384 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama: "Resonant Structures in the Mirror Nuclei ^<10>N and ^<10>Li" Physical Letters. B414. 13-17 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Takayuki Myo: "Sum Rule Values with Respect to Unbound States in the Complex Scaling Method" Progress of Theoretical Physics. 98. 1275-1287 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Matsuda: "Open Channel Effects on Heavy Quarkonium Spectra : ーA phenomenological study within one-open-channel approximationー" Few-Body Systems. 23. 1-13 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Y.Fujimoto: "A Model of Deep Mixing in Globular Red Giants" The Astrophysical Journal. (in Press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] G.F.Filippov: "Analysis of the AMD Equation in the Simplest Cases" Physics in Atomic Nuclei. 62. 19-107 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kato, T: "Dynamical Effects on the ^9Li-n Interaction Induced by Pauli Blocking of the J^<pi>=0^+ Pairing Correlation" Progress Theoretical Physics. 101. 119-138 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama: "The Mechanism of the Anomalous Energy Shift between s-States" Progress Theoretical Physics. 99. 623-634 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Myo: "Resonance and Continuum Components of the Strength Function" Progress Theoretical Physics. 99. 801-817 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Mukai: "A Study of the Binding Mechanism of ^<11>Li by the ^9Li+n+n Model" Progress Theoretical Physics. 99. 381-394 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama: "Thomas-Ehrman Effect on s_<1/2> and p_<1/2> Resonance States in ^<10>C+p" Physical Review C. 57. 975-977 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kato, T.Myo, S.Aoyama and K.Ikeda: "Unstable Nuclear Study by Complex Scaing Method" BUTSURI. 52. 111-115 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Matsuda: "Open Channel Effects on Heavy Quarkonium Spectra -A phenomenological one-open-channel approximation-" Few-Body Systems. 23. 1-13 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Takayuki Myo: "Sum Rule Values with Respect to Unbound States in the Complex Scaling Method" Progress of Theoretical Physics. 98. 1275-1287 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama: "Resonant Structures in the Mirror Nuclei ^<10>N and ^<10>Li" Physics Letters. B414. 13-17 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Aoyama, K.Kato and K.Ikeda: "Resonances in ^9He and ^<10>He" Physical Review C. 55. 2379-2384 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Homma, T.Myo and K.Kato: "Matrix Elements of Physical Quantities Associated with Resonance States" Progress of Theoretical Physics. 97. 561-567 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] G.F.Filippov, A.D.Bazavov, K.Kato and S.V.Korennov: "Asymptotic Equations in the Harmonic Oscillator Representation" Journal of Nuclear Physiscs (Russia). 60. 554-557 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kiyoshi Kato and Yasuhisa Abe: "Resonance States in the ^<12>C-^<12>C Morse Potential" Physical Review C. 55. 1928-1936 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Gennady.F.Filippov, Kiyoshi Kato, Sergei and V.Korennov: "^6He as a Three-Cluster Cystem -Investigation of the ground state and continuum 0^+ states-" Progress of Theoretical Physics. 96. 575-595 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kato: "Dynamical Effects on the ^9 Li-n Interaction Induced by Pauli Blocking of the J^π=0^+ Pairing Correlation" Progress Theoretical Physics. 101. 119-138 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Aoyama: "The Mechanism of the Anomalous Energy Shift between s-States" Progress Theoretical Physics. 99. 623-634 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Myo: "Resonance and Continuum Components of the Srength Function" Progress Theoretical Physics. 99. 801-817 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Mukai: "A Study of the Binding Mechanism of ^<11>Li by the ^9Li+n+n Model" Progress Theoretical Physics. 99. 381-394 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Aoyama: "Thomas-Ehrman Effect on s_<1/2> and p_<1/2> Resonance States in ^<10>C+p" Physical Review C. 57. 975-977 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 加藤幾芳: "複素座標スケーリング法による不安定核の研究" 日本物理学会誌. 52. 111-115 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Kato: "Resonance states in the ^<12>C-^<12>C Morse potential" Phys.Rev.C. 55. 1928-1936 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] G.F.Filippov: "On the asymptotic equations in the harmonic oscillator representation" J.Nucl.Phys.(Russia). 60. 554-557 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Homma: "Matrix elements of physical quantities associated with resonance states" Prog.Theor.Phys.97. 561-567 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Aoyama: "Resonance states in ^6He and ^<10>He" Phys.Rev.C. 55. 2379-2384 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Aoyama: "Resonant structures in the mirror nuclei ^<10>N and ^<10>Li" Phys.Lett.B. 414. 13-17 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Myo: "Sum rule values with respect to unbound states in the complex scaling method" Prog.Theor.Phys.98. 1275-1287 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] G. Filippov: "^6He as a Three-Cluster System--Investigation of the Ground State and Continuum 0^+ States--" Progress of Theoretical Physics. 96・3. 575-595 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K. Kato: "Resonance States in the ^<12>C-^<12>C Morse Potential" Physical Review C. 55・4 印刷中. (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Homma: "Matrix Elements of Physical Quantities Associated with Resonances" Progress of Theoretical Physics. 97・4 印刷中. (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] S.Aoyama: "Resonance States in ^9He and ^<10>He" Physical Review C. 55 (印刷中). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Hirano: "A Phenomenorogical Analysis of Open Channel Effects on the Bottomonium Spectrum" Journal of Hokkaido University of Education (Section II A). 49・2. 7-21 (1997)

    • Related Report
      1996 Annual Research Report

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

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