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EFFECTS OF NON-ADLABATIC TRANSITION ON NUCLEAR DYNAMICAL PROCESSES

Research Project

Project/Area Number 08640380
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 InstitutionYAMAGUCHI UNIVERSITY

Principal Investigator

TAZAWA Terutake  Faculty of Sciences, YAMAGUCHI UNIVERSITY,PROFESSOR, 理学部, 教授 (80091198)

Co-Investigator(Kenkyū-buntansha) TAKIGAWA Noboru  TOHOKU UNIVERSITY,ASSOCIATE PROFESSOR, 大学院・理学系研究科, 助教授 (00125600)
Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1998: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsNon-adiabatic transition / Potential resonance / Semiclassical theory / Heavy-ion reactions / Heavy-ion scattering / Quantum tunneling / Time-dependent local density approximation / Classical overbarrier model / 重イオン核融合反応 / グローリー現象 / 原子クラスター / 古典的障壁模型 / 疑似交叉 / 核融合障壁分布 / 断熱的トンネル効果 / TDLDA / 障壁超越模型 / 量子トンネル効果 / 表面振動 / 非調和振動
Research Abstract

(1) Analytical formulae for the S-matrix are derived for a two-state curve crossing problem in the presence of potential barriers by using a three turning point semiclassical theory and a matrix formalism for the non-adiabatic transition. They satisfy the unitarity condition and the elasitc and inelasitc S-matrix elements reduce to improved Landau-Zener-Stuckelberg formulae at high energies where the existence of the potential barrier can be ignored. We discuss qualitative behaviors of the semiclassical S-matrix elements in the weak and strong coupling limits, i.e. in the limits where the one-way Landau-Zener transition probability p* 1 and p * 0, respectively. We also discuss the possible interplay between the Landau Zener transtion and the potential resonance. In such a system as ^<13>C + ^<17>O, we show that the inelastic partial cross section attributed to the Landau-Zener transition is strongly enhanced by the potential resonance in case that the avoided crossing exists inside the … More Coulomb barrier. We also show the inelastic partial cross section is strongly suppressed by the destructive interference between the phase accompanied with the Landau-Zener transition and the phase-shifts for the adiabatic potential scattering when the avoided crossing exists outside the Coulomb barrier.
(2) The roles of higher order coupling of sufface vibrations and anharmonicites, the possibilities of extracting the sign of the deformation, effects of adiabatic quantum tunneling and of finite width of excited states are investigated by the theoretical aanlyses of the several kinds of experimental data in heavy-ion fusion reactions at near and below the Coulomb barrier. We predicted such a new mechanism as grory in the shadow of rainbow in heavy-ion scattering. It is also shown that the bombarding energy-dependence of the cross section at very small angle is effective to identify it.
(3) Shielding effect of the electrons bounded in the target nuclei on nuclear fusion reactions at very low energies is now investigated. The numerical calculation is now in progress in the case of d + D system by using the dynamical norm method and non-adiabatic potential method equivalent to that.
(4) The collision between a cluster and a highly charged ion, and subsequent production of the highly charged cluster, are investigated in the time-dependent local-density approximation. The multiple electron transfer passing over the saddle of the potential barrier is predicted and is in good agreement with an estimate by the simple classical overbarrier model. A microscopic calculation of the collision between highly charged ion and rare gas atom in the same approximation has been carried out. The calculated charge transfer cross sections are in fair agreement with measurements, the semi-classical formula and the molecular classical overbarrer model. Less

Report

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

    (64 results)

All Other

All Publications (64 results)

  • [Publications] K.Hagino: "Thermal fission rate around superfluid-normal phase transition" Phys.Rev.C. 53. 1840-1844 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Heavy-ion fusion reactions as macroscopic quantum tunneling" Prog.Theor.Phys.Suppl.124. 1-22 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Validity of the linear coupling approximation in heavy-ion fusion reactions at sub-barrier energies" Phus.Rev.C. 55. 276-284 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Tazawa: "Interplay Between non-adiabatic transition and resonance" Contributed Abstracts of 6th International Conf.on Nucleus-Nucleus Collisions, Galtinberg. 121 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Probing an harmonic properties of nuclear surface vibration by heavy-ion fusion reactions" J.Phys.G. 23. 1367-1375 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Importance of non-linear couplings in fusion barrier distributions and mean angular momenta" J.Phys.G. 23. 1413-1421 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Fusion barrier distributions in systems with finite excitation energy" Phys.Rev.C. 56. 2104-2108 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Role of an harmonicities of nuclear vibrations in fusion reactions at sub-barrier energies" Phys.Rev.Lett.79. 2943-2946 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Adiabatic quantum tunneling in heavy-ion sub-barrier fusion" Phys.Rev.Lett.79. 2014-2017 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.B.Balantekin: "Quantium tunneling in nuclear fusion" Rev.Mod.Phys.70. 77-100 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Excitation of nuclear an harmonic vibrations in heavy-ion fusion reactions" Phys.Rev.C. 57. 1-12 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Abe: "collisions between metal clusters and multply charged ions" IL NOUVOCIMENTO. 110. 1209-1214 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yabana: "Microscopic, description for multiple electron transfer in ion-cluster collisions" AIP Conference Proceedings. 416. 67-76 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yabana: "Time-dependent mean-field description for multiple electron transfer in slow ion-cluster collisions" Phys.Rev.A. 57. R3165-R3168 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ueda: "Forward Glory phenomenon in the dark-side of heavy-ion nuclear rainbow scattering" Phys.Rev.Lett.81. 1809-1812 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Effects of finite width of excited state on heavy-ion sub-barrier fusion reactions" Phys.Rev.C. 58. 2872-2878 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] B.G.Giraud: "Adiabaticity in Faddeer equations" Few-Body Systems Suppl.10. 49-52 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Bremsstrahlung in α decay" Phys.Rev.C. 59. R593-R597 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ueda: "Glory in the shadow of rainbow" Nucl.Phys.A. in press.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] R.Nagano: "Application of the time-dependent local denoity approximation to collision between highly charged ion andatom" J.Phys.B. in press.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Heavy-Elements and Related New Phenomena" World Scientific in press,

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Thermal fission rate around supeerfluid-normal phase transition" Phys.Rev.C53. 1840-1844 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Heavy-ion fusion reactions as macroscopic quantum tunneling" Prog.Theor.Phys.Suppl.124. 1-22 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Validity of the linear coupling approximation in heavy-ion fusion reactions at sub-barrier energies" Phys.Rev.C55. 276-284 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Tazawa: "Interplay between non-adiabatic transition and resonance" Contributed Abstracts of 6th Int.Conf.on Nucleus-Nucleus Collisions, Gatlinberg. 121 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Probing anharmonic properties of nuclear surface vibration by heavy-ion fusion reactions" J.Phys.G23. 1367-1375 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Importance of non-linear couplings in fusion barrier distributions and mean angular momenta" J.Phys.G23. 1413-1421 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Fusion barrier distributions in systems with finite excitation energy" Phys.Rev.C56. 2104-2108 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Role of anharmonicities of nuclear vibrations in fusion reactions at sub-barrier energies" Phys.Rev.Lett.79. 2943-2946 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Adiabatic quantum tunneling in heavy-ion sub-barrier fusion" Phys.Rev.Lett.79. 2014-2017 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.B.Balantekin: "Quantum tunneling in nuclear fusion" Rev.Mod.Phys.70. 77-100 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Excitation of nuclear anharmonic vibrations in heavy-ion fusion reactions" Phys.Rev.C57. 1-12 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Abe: "Collisions between metal clusters and multiply charged ions" IL NOUVO CIMENTO. 110. 1209-1214 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yabana: "Microscopic description for multiple electron transfer in ion-cluster collisions" AIP Conference Proceedings. 416. 67-76 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yabana: "Time-dependent mean-field description for multiple electron transfer in slow ion-cluster collisions" Phys.Rev.A57. R3165-R3168 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ueda: "Forward Glory phenomenon in the dark-side of heavy-ion nuclear rainbow scattering" Phys.Rev.Lett.81. 1809-1812 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hagino: "Effects of finite width of excited state on heavy-ion sub-barrier fusion reactions" Phys.Rev.C58. 2872-2878 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] B.G.Giraud: "Adiabaticity in Faddeev equations" Few-Body Systems. Suppl 10. 49-52 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Bremsstrahlung in alpha decay" Phys.Rev.C59. R593-R597 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ueda: "Glory in the shadow of rainbow" Nucl.Phys.A. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] R.Nagano: "Application of the time-dependent local density approximation to collision between highly charged ion and atom" J.Phys.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Takigawa: "Heavy-ion reactions at energies below the Coulomb barrier" Heavy-Elements and Related New Phenomena. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.B.Balantekin: "Quantum Tunneling in Subbarrier Fusion" Reviews of Modern Physics. 70・1. 77-100 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ueda: "Forward Glory Phenomenon in The Dark-Side of Heavy-Ion Nuclear Rainbow Scattering" Phys.Rev.Letts.81. 1809-1812 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Hagino: "Effects of Finite Width of Excited State on Heavy-Ion Sub-Barrier Fusion Reactions" Phys.Rev.C58. 2872-2878 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Takigawa: "Bremsstrahlung in α decay" Phys.Rev.C59. R593-R597 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ueda: "Glory in The shadow of rainbow" Nucl.Phys.A. (in press). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] B.G.Giraud: "Adiabaticity in Faddeer Equations" Few-Body Systems Suppl.10. 49-52 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Yabana: "Time-dependent mean-field description for multiple electron transfer in slow ion-cluster collisions" Phys.Rev.A57・5. R3165-R3168 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] R.Nagano: "Application of the time-dependent local density approximation to collision between highly charged ion and atom" J.Phys.B. (in press).

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Takigawa: "Heary-Elements and Related New Phenomena (in press)" World Scientific,

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Tazawa: "Interplay Between Non-Adiabatic Transition and Resonance" Contributed Abstracts, 6th Int.Conf. on Nucleus-Nucleus Collisions, Gatlinberg, June 2-6, 1997. P.121 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Takigawa: "Probing anharmonic propeties of nuclear surface vibration by hearey-ion fusion reactions" J.Phys.G : Nucl.Part.Phys.23. 1367-1375 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Importance of Non-Linear Couplings in Fusion Barrier Distributions and Mean Angular Monenta" J.Phys.G : Nucl.Part.Phys.23. 1413-1421 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Dasgupta: "Evidence of Double Phonon Excitations in ^<16>O+^<208>Pb Reaction" J.Phys.G : Nucl.Part.Phys.23. 1491-1496 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Fusion barrier distributions in systems with finite excitation energy" Phys.Rev.C56. 2104-2108 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Role of anharmonicities of nuclear vifrations in fusion reactions at self-barrier energies" Phys.Rev.Letts. 79. 2943-2946 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Adiabatic Quaontum Tunnreling in Heavy-Ion Sub-barrier Fusion" Phys.Rev.Letts.79. 2014-2017 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] A.B.Balantekin: "Quantum Tunneling in Subbarrier Fusion" Rev.Mod.Phys.70. 77-100 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Excitation of nuclear anharmonic vibrations in heavy-ion fusion reactions" Phys.Rev.C57. 1-12 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Yabana: "Hicroscopic Rescription for Multiple Elctron Transfer in Ion-Cluster Collisions" AIP Conference Proceedings. 416. 67-76 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Hagino: "Thermal fission rate around superfluid-normal phase tansition" Physical Review C. 53. 1840-1844 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Hagino: "Volidity of the linear coupling approximation in heavy-ion fusion reactions at subbanier energies" Physical Review C. (in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Takigawa: "Heavy-Ion Fusion Reactions as Machoscopic Quantum Tunneling" Progress of Theoretical Physics Supplement. 124. 1-22 (1996)

    • Related Report
      1996 Annual Research Report

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

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