Jacobi Transformations in Four-cluster Systems

四簇系统中的雅可比变换

• 批准号: EP/E006485/1
• 负责人: Ian Thompson
• 金额: $ 2.71万
• 依托单位: University of Surrey
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE006485%2F1
• 关键词: Jacobi; Transformations; Four; cluster; Systems

The matter in many-body quantum systems is not always uniformly distributed. Particles inside it, whether they are molecules, atoms or nucleons, can gather together forming clusters. In light atomic nuclei, many states are known in which nucleons gather into two of three clusters. Recently, experimentalists from Birmingham, Surrey and York have studied nuclear states that behave like four-cluster systems, namely, the carbon isotope 10C which is made of two alpha-particles and two protons, and some excited states in 16O that behave like systems of four individual alpha-particles. The present proposal is to begin a theoretical model to deal with four-cluster states and to apply this model to 10Be, 10C and 16O. This will later enable us find out if any of the 4-alpha states in 16O can be considered as a Bose-Einstein condensate of four individual alpha-particles.

多体量子系统中的物质并不总是均匀分布的。其中的粒子，无论是分子、原子还是核子，都可以聚集在一起形成团簇。在轻原子核中，已知许多核子聚集成两个或三个簇的状态。最近，来自伯明翰、萨里和约克的实验学家研究了表现为四团簇系统的核态，即由两个α粒子和两个质子组成的碳同位素10C，以及16O中表现为四个单个α粒子系统的一些激发态。目前的建议是建立一个理论模型来处理四簇状态，并将该模型应用于10Be， 10C和16O。这将使我们稍后能够发现16O中的任何一个4- α态是否可以被认为是四个单独α粒子的玻色-爱因斯坦凝聚。