Theoretical Study of Structure and Reactions of Unstable Nuclei

为了研究不稳定核的三体模型，我们提出了无限小移位的高斯叶基函数。它被发现对这类研究非常有用。建立了中心力和多种非中心力以及动量依赖力相互作用的计算方法和计算程序，以4He^+n^+n三体模型为基础，对不稳定核6HeNucus 6He进行了深入研究，采用耦合重排通道变分方法，采用上述高斯叶基函数.采用真实的n-n力和有效的n-n力。在前一种作用力的情况下，晕中子之间存在很强的短程关联，这可能导致6He-弹丸破裂反应中n-n相对运动的高动量部分的增强。研究不稳定的介子分子对发展不稳定核的计算方法是非常有用的。研究了dhemu和dtmU的共振态，着重讨论了共振态的衰变模式，并改进了非稳态的计算。

Proposal of Infinitesimally-shiftef Gaussian-lobe basis functionsFor the study of 3-body model of unstable nuclei, we propose Infinitesimally-shifted Gaussian-lobe basis functions. It was found to be very useful for such studies. Calcutational method and computation code were developed for the interactions of central and many types of non-central forces as well as momentum dependent force.Study of unstable nuclei 6HeNucleus 6He was studied extensively as a prototype of unstable unclei based on a three-body model of 4He^+n^+n. Use was made of coupled-rearrangement-channel variational method with the Gaussian Lobe basis functions mentioned above. Realistic n-n forces and effective n-n force were employed. In the case ofthe former forces, strong short-range correlations were found between the halo neutrons which may cause enhancement of high-momentum part of n-n relative motion in 6He-projectile breakup reactions.Study of unstable muonic moleculesStudy of muonic unstable muonic molecules is very useful to develope the calculational method of unstable nuclei. Resonant states of dHemu and dtmu were investigated with enphasis placed on the decay mode of the resonances together with the improvement of calculation of unstable states.