少粒子系统角运动的整体矢量表示II
Global-Vector Representation of the Angular Motion of Few-Particle Systems II
摘要：
用依赖于质点位置的全局矢量描述少体系统的角运动。以前的研究，使用一个单一的全球矢量进行扩展，使其能够描述自然和非自然的奇偶校验状态。数值例子包括三核子和四核子系统通过核子-核子相互作用势的AV 8型和3 $α$系统与非局部$αα$潜力。使用显相关高斯基与全局向量的结果表明，与其他方法的结果是一致的。阐明了由张量力引起的反常宇称分量在$^4$ He的$0^-_1$态中的独特作用。在坐标空间和动量空间中计算了两粒子的关联函数，以显示所采用的相互作用的不同特征。
英文摘要：
The angular motion of a few-body system is described with global vectors which depend on the positions of the particles. The previous study using a single global vector is extended to make it possible to describe both natural and unnatural parity states. Numerical examples include three- and four-nucleon systems interacting via nucleon-nucleon potentials of AV8 type and a 3$α$ system with a nonlocal $αα$ potential. The results using the explicitly correlated Gaussian basis with the global vectors are shown to be in good agreement with those of other methods. A unique role of the unnatural parity component, caused by the tensor force, is clarified in the $0^-_1$ state of $^4$He. Two-particle correlation function is calculated in the coordinate and momentum spaces to show different characteristics of the interactions employed.
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