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引用次数: 0
摘要
强相互作用系统出现在物理学的多个领域,其特点是吸引力相互作用几乎或仅仅勉强将两个粒子松散地结合在一起。虽然这个定义是在双体层面上做出的,但它在更大的系统中产生了迷人的效应,包括所谓的埃菲莫夫物理学。在这种情况下,零距理论旨在仅根据散射长度来描述低能特性。然而,在广泛的物理应用中,相互作用的有限范围发挥着重要作用。在这项工作中,我将讨论强相互作用系统中有限范围效应的一些方面。我介绍了两体系统中的零程和无形普遍性,并将其应用于原子和核物理。我推导了三维空间中两个粒子的修正波氏-泰勒势的 s 波界态谱的分析表达式,并将其与近似值进行了比较,以说明其有用性。关于三个相同玻色子,我提出了一个明确包括有效范围的三聚体能量缩放函数。简要讨论了这对更大系统的影响。
The Role of the Effective Range in Strongly-Interacting Few-Body Systems
Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives rise to fascinating effects in larger systems, including the so-called Efimov physics. In this context, the zero-range theory aims to describe low-energy properties based only on the scattering length. However, for a broad range of physical applications, the finite range of the interactions plays an important role. In this work, I discuss some aspects of finite-range effects in strongly interacting systems. I present the zero-range and shapeless universalities in two-body systems with applications in atomic and nuclear physics. I derived an analytical expression for the s-wave bound-state spectrum of the modified Pöschl–Teller potential for two particles in three dimensions, which is compared with the approximations to illustrate their usefulness. Concerning three identical bosons, I presented a trimer energy scaling function that explicitly includes the effective range. The implications for larger systems are briefly discussed.
期刊介绍:
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).