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Development of time-dependent coupled rearrangement channel method and calculation of muon reactivation

时间依赖性耦合重排通道方法的发展和μ子重新激活的计算

基本信息

批准号：
16540356
负责人：
KINO Yasushi
金额：
$ 2.18万
依托单位：
Tohoku University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2005
项目状态：
已结题

项目摘要

Muons injected into a D_2/T_2 mixture target form muonic molecules, and catalyze nuclear fusion reaction. It is known that a muon can catalyze the reaction about 150 times. One of the most fatal muon loss is capture by atomic orbital of an alpha particle produced in the nuclear fusion reaction. The muon decay in the atomic orbital with its intrinsic lifetilme. Although a large number of studies have been made on these processes, there is no study based on quantum mechanics has been made on the muon reactivation process in which the muon returns to the catalysis through a muon transfer reaction. In this study, we calculated the muon transfer reaction cross sections solving the Schrodinger equation directly. The cross-sections obtained can be used to evaluate the muon reactivation probabilityIn order to calculate the cross sections, we developed a new numerical method called a time-dependent coupled rearrangement channel method based on our previously developed a time-dependent coupled channel method and a coupled rearrangement channel method. Developing the computational code, we carefully examined these methods and the code by applying to several exotic/molecule systems i.e. positron muon and antiproton systems, and investigated effectiveness of this method.We calculated the muon transfer reaction αμ+d→α+dμ and αμ+t→α+tμ in the wide energy range. A tendency of cross sections resembled each other, and an isotope effect was seen. The muon transfer reaction plays an important role in the muon catalyzed fusion reaction, because the transfer rate at liquid hydrogen density was 10^7 s^<-1> which is comparable with other reaction rates appeared in the muon catalyzed fusion

μ子注入到D_2/T_2混合物中，形成μ子分子，并催化核聚变反应。众所周知，一个μ子可以催化大约150次这种反应。最致命的μ子损失之一是在核聚变反应中产生的α粒子被原子轨道捕获。介子在原子轨道上随其固有寿命而衰变。虽然对这些过程进行了大量的研究，但是对于μ子通过μ子转移反应返回催化剂的μ子再活化过程，还没有基于量子力学的研究。在本研究中，我们直接求解薛定谔方程计算了μ子转移反应截面。为了计算截面，我们在已有的时变耦合通道法和耦合重排通道法的基础上，提出了时变耦合重排通道法。在开发计算代码时，我们将这些方法和代码应用于几个奇异/分子系统，即正电子、介子和反质子系统，并研究了该方法的有效性。在较宽的能量范围内计算了μ子转移反应αμ+d→α+dμ和αμ+t→α+tμ。横截面有相似的趋势，且存在同位素效应。μ介子转移反应在μ介子催化聚变反应中起着重要的作用，因为在液氢密度下的转移速率为10^7 s^<-1>，与μ介子催化聚变中出现的其他反应速率相当