Excitation Mechanisms and Reactions of Light Exotic Nuclei

我们提出了高精度的相关高斯随机变分方法，并将其应用于各种轻奇异核的结构研究。该方法的优点是可以考虑组成粒子的相关运动。我们已经证明，为了解释^6He的结合能，对α核的真实描述，特别是在表面区域，是至关重要的，微观α+α+n+n模型可以重现低于^6He+α阈值的所有能级，包括第二个0^+态。得到的^<10>Be的结果有望为^<11>Be的奇偶反转机制提供有用的信息。我们已经证实，结合态能量的解析延拓作为耦合常数的函数可以是一个有用的和实用的工具来预测共振态的复杂能量（共振能量和宽度）。这是由于我们计算的准确性而成为可能的。计算的例子包括^5He， ^5Li, ^6He, ^9Be, ^9B。该模型首次成功地预测了^9Be和^9B在阈值附近的1/2^+态的性质。本文提出了一种完全计算格劳伯振幅的方法，并应用于分析p+^6He在高能下的弹性散射。我们的^6He波函数在没有任何调整的情况下再现了角分布，从而确定了^6He的大小。为了得到更重的系统，如果引入有效的核-核散射剖面函数，这种方法是可行的。这一思想已被证明是有用的，并用于计算各种体系的反应截面和弹性散射截面。

We have developed high accuracy variational approach called the stochastic variational method on correlated Gaussians and applied it to the study of structure of various light exotic nuclei. The method has advantage that it can take into account of correlated motion of the constituent particles. We have shown that to account for the binding energy of ^6He a realistic description of the α core, particularly in the surface region, is vital and that a microscopic α+α+n+n model can reproduce all the levels below the ^6He+α threshold including the second 0^+ state. The result obtained for ^<10>Be will be expected to give useful information on a mechanism of the parity inversion in ^<11>Be.We have confirmed that an analytic continuation of bound state energies as a function of coupling constants can be a useful and practical tool to predict the complex energies (resonance energy and width) of resonance states. This has been made possible by the accuracy of our calculation. Examples of calculation include ^5He, ^5Li, ^6He, ^9Be, ^9B.It is noted that the properties of the 1/2^+ states of ^9Be and ^9B near the threshold are successfully predicted for the first time by this model.A method of complete calculation of the Glauber amplitude has been proposed and applied to analyze the elastic scattering of p+^6He at high energy. Our ^6He wave function has reproduced the angular distribution without any adjustment, which has led to a firm determination of the size of.^6He. In order to go to heavier system, this approach becomes practicable if one introduces an effective profile function of nucleon-nucleus scatterings. This idea has been tested to be useful and used to calculate the reaction cross sections and elastic scattering cross sections of various systems.