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

将μ子注入D_2/T_2混合物中，靶向形成μ子分子，催化核聚变反应。已知一个μ子可以催化反应约150次。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。μ子在原子轨道中的衰变及其固有寿命。虽然对这些过程进行了大量的研究，但是还没有基于量子力学对μ子通过μ子转移反应返回催化的μ子再活化过程进行研究。本文采用直接求解薛定谔方程的方法计算了μ子转移反应截面。为了计算μ子的再激活几率，我们在以前发展的含时耦合道方法和耦合重排道方法的基础上，发展了一种新的数值计算方法，称为含时耦合重排道方法。在编制计算程序的基础上，通过对几个奇异/分子系统（正电子μ子和反质子系统）的计算，考察了这些方法和程序的有效性，并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.截面的趋势是彼此相似，并观察到同位素效应。μ子转移反应在μ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10^7s ^<-1>，这与μ子催化聚变中出现的其他反应速率相当

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