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

注入到D_2/T_2混合靶中的介子形成介子分子，并催化核聚变反应。众所周知，一个介子可以催化大约150倍的反应。最致命的介子损失之一是被核聚变反应中产生的阿尔法粒子的原子轨道俘获。缪子在原子轨道中的衰变及其内在的生命力。虽然人们已经对这些过程进行了大量的研究，但还没有基于量子力学的研究，即通过Muon转移反应使Muon返回到催化作用的Muon再激活过程。在本研究中，我们直接求解薛定谔方程，计算了介子转移反应截面。为了计算这些截面，我们在以前发展的含时耦合重排通道方法和耦合重排通道方法的基础上，发展了一种新的数值方法，称为含时耦合重排通道方法。开发了计算程序，通过对几个奇异的/分子系统，即正电子、µ子和反质子系统的应用，仔细考察了这些方法和程序，并考察了这种方法的有效性。我们计算了宽能范围内的Muon转移反应αμ+d→α+dμ和αμ+t→α+tμ。横截面的趋势彼此相似，并观察到了同位素效应。在介子聚变反应中，介子转移反应起着重要的作用，因为在液氢密度下，介子转移反应的传递率为10^7 S。

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