Coupled-Channel Theory of Muon Catalyzed Fusion Cycles

研究了有关介子催化聚变的一些重要理论问题。编制了基于非绝热耦合重排通道方法的计算程序，并将其应用于介子转移反应dMu(1s)+t-&gt；tu(1s)+d，在低能区(0.001-0.05 eV)得到了与观测结果相一致的结果。在较高能量下(-50 eV)，虽然没有观测到的结果，但我们发现了反应的两级增强。利用这一结果，我们可以预测，在H_2+D_2+T_2的三重混合物中，我们也将有两级增强的介子转移反应，这将是一个好消息，这将是一个研究介子催化的岩金离子。本文研究了用D和^3He进行有效的Muon催化聚变的可能性。对(d^3hemu)的分子共振宽度进行了耦合通道计算。不幸的是，研究发现(d^3hemu)分子离子的粒子衰变速率远大于分子离子的熔合速率。为了精确确定(Dtu)的J=v=1态的能量，进行了(Dtu)耦合通道计算的能级的精确计算。我们精确地推导了电子屏蔽、相对论效应和真空极化对能量的修正。

Some of the important theoretical subjects on the muon catalyzed fusion have been studied.1. Study of muon transfer reactionsA computer program based on the Non-adiabatic coupled-rearrangement-channel method was completed and has been applied to the muon transfer reaction dmu(1s)+t->tu(1s)+d. In the low energy region (0.001-0.05 eV), a good agreement with the observed result was obtained. At higher energies (-50 eV), though no observation is reported, we found two-order enhancement of the reaction. Using this result, we can predict that, in the triple mixture of H_2+D_2+T_2, we shall have also two-order enhancement of the muon transfer reaction, which will be a good news for the muon catalyzed fucion study.2. Muon catalyzed fusion with D- ^3HePossibility of effective muon catalyzed fusion with the use of D and ^3He has been studied. Coupled-channel calculation has been made for the width of the molecular resonance of (d ^3Hemu). Unfortunately, it is found that particle decay of (d ^3Hemu) molecular ion has much larger rate than the fusion rate in the molecular ion.3. Accurate calculation of the energy level of (dtmu)Coupled-channel calculation has been performed for the precise determination of the energy of the J=v=1 state of (dtmu). We derived accurately, the corrections to the energy arising from the elrectron screening, relativistic effect and vacuum polarization.