Theory of Atomic Processes in Muon-Catalyzed Fusion

μ子催化聚变的原子过程理论

• 批准号: 03640357
• 负责人: SHIMAMURA Isao
• 金额: $ 1.09万
• 依托单位: The Institute of Physical and Chemical Research (RIKEN)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1991
• 资助国家: 日本
• 起止时间: 1991 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03640357/
• 关键词: Muon-catalyzed fusion; Exotic atom; Muonic molecule; Muonic atom; Nuclear fusion; 核融合; ミュオン; 原子過程

(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

（1）对分子dtu和ddu的共振能级的修正：决定dtu和ddu的形成速率以及由此决定μ子催化的d-t和d-d聚变（muCF）的循环速率的最关键因素之一是准确地确定dtu和ddu的共振能量。在对非相对论库仑三体能量的各种修正中，我们计算了由于dtu或ddu嵌入在（dtu）dee或（ddu）dee的六体系统中。考虑到dtu或ddu的四极矩的影响，这是在以前的工作中被忽略的，我们发现，这个修正是由一个数量级以上比以前的估计。（2）μ子转移反应：μ子转移反应du+t*d+tu、pu+t*p+tu和du+He*d+Heu在uCF中很重要，它们决定了du在基态的分数，从而决定了uCF的速率。我们将差分方法应用到以前发展的三体非绝热重排通道方法中。通过数值计算，验证了H_2-D_2-T_2体系可能具有比D_2-T_2或D_2体系高得多的uCF循环速率的假设。（3）μ子分子的衰变模式：在D_2-T_2或H_2-D_2-T_2系统中，He是由triton的β衰变产生的。μ子转移到这个He降低了uCF循环速率，应该详细研究。本文还讨论了三体问题的无限小分离高斯波瓣函数（5）亚稳μ子分子离子dtu的性质（6）dtu和ddu波函数渐近形式的重要性（7）dtu和ddu波函数渐近形式的研究

项目成果

Y.Kino: "Isotope dependence of particle-decay rates of muonic molecular ions (dHeu)" Muon Catalyzed Fusion. 8. (1993)

Y.Kino：“μ子分子离子（dHeu）粒子衰变率的同位素依赖性”μ子催化聚变。

M.R.Harston: "Energy shift in the (dtμ)e molecule due to the finite size of the muonic molecular ion(dtμ)^+" Zeitschrift fur Physik D. 22. 635-640 (1992)

M.R.Harston：“由于 μ 子分子离子 (dtμ)^+ 的有限尺寸，(dtμ)e 分子中的能量转移”Zeitschrift Fur Physik D. 22. 635-640 (1992)

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).

M.R.Harston、S.Hara、Y.Kino、I.Shimamura 和 M.Kamimura：“离子 (ddu)^ 的有限尺寸对分子 (ddu)e 和 (ddu)dee 能级的影响”

J.Wallenius and M.Kamimura: "Lifetimes of the quasi-stationary molecular ion dtu^+" Few-Body Systems. (submitted).

J.Wallenius 和 M.Kamimura：“准静止分子离子 dtu^ 的寿命”少体系统。

I.Shimamura: "Analysis of the lifetimes and fractions of antiprotons trapped in metastable states of antiprotonic herium" Phys.Rev.A. 49(印刷中). (1994)

I.Shimamura：“反质子氦亚稳态中反质子的寿命和分数的分析”Phys.Rev.A. 49（出版中）。