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1993 Fiscal Year Final Research Report Summary

Theory of Atomic Processes in Muon-Catalyzed Fusion

Research Project

Project/Area Number 03640357
Research Category

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

Allocation TypeSingle-year Grants
Research Field 物理学一般
Research InstitutionThe Institute of Physical and Chemical Research (RIKEN)

Principal Investigator

SHIMAMURA Isao  RIKEN,Atomic processes, Senior Scientis, 原子物理研究室, 副主任研究員 (30013709)

Co-Investigator(Kenkyū-buntansha) KINO Yasushi  RIKEN,Metal Phys.STA fellow, 金属物理研究室, 科技庁基礎科学特別研
KAMIMURA Masayasu  Kyushu Univ.Dept.Phys.Assoc.Prof.10DA02 : 99999999, 理学部物理学科, 助教授 (10037210)
Project Period (FY) 1991 – 1993
KeywordsMuon-catalyzed fusion / Exotic atom / Muonic molecule / Muonic atom / Nuclear fusion
Research Abstract

(1)Corrections on resonance levels of the molecules dtu and ddu : One of the most crucial factors that determine the formation rate of dtu and ddu, and hence the cycle rate of muon-catalyzed d-t and d-d fusion(muCF), is to determine the resonance energies of dtu and ddu accurately. Among the various corrections on nonrelativistic Coulomb 3-body energies, we calculated that due to the fact that dtu or ddu is embedded in the 6-body system(dtu)dee or (ddu)dee. Taking into account the effect of the quadrupole moment of dtu or ddu, which was neglected in previous work by others, we found that this correction is larger by an order of magnitude than the previous estimation.
(2)Muon-transfer reaction : The muon-transfer reactions du+t*d+tu, pu+t*p+tu, and du+He*d+Heu are important in uCF in determining the fraction of, say, du in the ground state, and hence, in determining the uCF rate. We applied a difference method to the 3-body nonadiabatic rearrangement channels approach developed before. The proposal that the H_2-D_2-T_2 system may have a much higher uCF cycle rate than the previously investigated D_2-T_2 or D_2 system was verified numerically.
(3)Decay modes of muonic molecules : In the systems D_2-T_2 or H_2-D_2-T_2, He is produced by the beta decay of the triton. Muon transfer to this He decreases the uCF cycle rate and should be studied in detail. There exists a reaction path du+He*(dHeu)*Heu+d+(X ray) via an intermediate state, and this was calculated to explain the recent X-ray measurements by the RIKEN group.
Other topics investigated in this work include :
(4)Infinitesimally-separated Gaussian-lobe functions for 3-body problems
(5)Properties of metastable muonic molecular ions dtu
(6)Importance of Asymptotic forms of the wave functions of dtu and ddu

  • Research Products

    (20 results)

All Other

All Publications (20 results)

  • [Publications] M.R.Harston,I.Shimamura,M.Kamimura: "Energy shift in the 〔(dtμ)-d〕ee molecule due to the finite size of the muonic molecular ion (dtμ)^+" Physical Review A. 45. 94-100 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.R.Harston,I.Shimamura,M.Kamimura: "Energy shift in (dtμ)e due to the finite size of the muonic molecular ion (dtμ)^+" Zeitschrift fur Physik D. 22. 635-640 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukushima,M.Yahiro,M.Kamimura: "Nuclear polarization in dμ and tμ atoms and in the dtμ molecule" Physical Review A. 46. 6894-6902 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kamimura: "Coupled-rearrangement-channel calculations of muon catalyzed fusion processes" Perspectives of muon science,eds.T.Yamazaki,K.Nakai,and K.Nagamine(Elsevier,Amsterdam). 399-416 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kino and M.Kamimura: "Non-adiabatic calculation of muonic atom-nucleus collisions" Hyperfine Interactions. 82. 45-52 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kino and M.Kamimura: "Isotope dependence of particle-decay rates of muonic molecular ions (d^3,^4Heμ)_<J=1> below (dμ)_<1s>-^<3,4>He threshold" Hyperfine Interactions. 82. 195-204 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kamimura,Y.Kino and E.Hiyama: "Loosely coupled few-body systems" Proceedings of the International Symposium on Frontiers of Nuclear Structure Physics. in press.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kino,M.R.Harston,I.Shimamuya,E.A.G.Armour and M.Kamimura: "Normalization of the asymptotic from of three-body (dtμ)^+ and (ddμ)^+ wave functions" Physical Review A. submitted.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.R.Harston,S.Hara,Y.Kino,I.Shimamura,and M.Kamimura: "Effects of the finite size of the ion (ddμ)^+ on the enerqy levels of the molecules (ddμ)e and (ddμ)dee" Physical Review A. submitted.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Wallennius and M.Kamimura: "Lifetimes of the quasistationary molecular ion dtμ^+" Few-Body Systems. submitted.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.R.Harston, I.Shimamura, and M.Kamimura: "Energy shift in the[(dtu)-d]ee molecule due to the finite size of the muonic molecular ion (dtu)^+" Phys.Rev.A45. 94-100 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.R.Harston, I.Shimamura, and M.Kamimura: "Energy shift in (dtu)e due to the finite size of the muonic molecular ion (dtu)^+" Zeit.f.Phys.D22. 635-640 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukushima, M.Yahiro, and M.Kamimura: "Nuclear polarization in du and tu atoms and in the dtu molecule" Phys.Rev.A46. 6894-6902 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kamimura: "Coupled-rearrangement-channel calculations of muon catalyzed fusion processes" "Perspectives of Muon Science, "eds.T.Yamazaki, K.Nakai and K.Nagamine(Elsevier Science Publishers, Amsterdam, 1992), Chap.12. 399-416

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kino and M.Kamimura: "Non-adiabatic calculation of muonic atom-nucleus collisions Hyperfine Interactions" 82. 45-52 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kino and M.Kamimura: "Isotope dependence of particle-decay rates of muonic molecular ions(d^<3,4>Heu)_<J=1> below (du)_<1S>-^<3,4>He threshold" Hyperfine Interactions. 82. 195-204 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kamimura, Y.Kino, and E.Hiyama: "Loosely coupled few-body systems19GC07 : "Proceedings of the International Symposium on Frontiers of Nuclear Structure Physics (March, 1994, Tokyo), "" (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kino, M.R.Harston, I.Shimamura, E.A.G.Armor, and M.Kamimura: "Normalization of the asymptotic form of three-body(dtu)^+ and (ddu)^+ wave functions" Phys.Rev.A. (submitted).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.R.Harston, S.Hara, Y.Kino, I.Shimamura, and M.Kamimura: "Effects of the finite size of the ion(ddu)^+ on the energy levels of the molecules (ddu)e and (ddu)dee" Phys.Rev.A. (submitted).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Wallenius and M.Kamimura: "Lifetimes of the quasi-stationary molecular ion dtu^+" Few-Body Systems. (submitted).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1996-04-15  

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