Theoretical Study of Structure and Reactions of Unstable Nuclei

无限小移位高斯-叶瓣基函数的提出为了研究不稳定核的三体模型，我们提出了无限小移位高斯-叶瓣基函数。人们发现它对这类研究非常有用。提出了中心力和多种非中心力以及动量相关力相互作用的计算方法和计算程序。基于4He^+n^+n的三体模型，对不稳定核的原型——6He核进行了广泛的研究。利用上述高斯波瓣基函数的耦合重排-信道变分方法。采用实际n-n力和有效n-n力。在前一种力的情况下，发现晕中子之间存在强的短程相关性，这可能导致6he弹丸破碎反应中n-n相对运动的高动量部分增强。不稳定介子分子的研究研究不稳定介子分子对于发展不稳定原子核的计算方法是非常有用的。研究了dHemu和dtmu的共振态，重点研究了共振的衰减模式，并改进了不稳定态的计算。

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.