Title: Collisional interactions between self-interacting non-relativistic boson stars: effective potential analysis and numerical simulations Show Chinese title

Title: 非相对论自相互作用玻色星之间的碰撞相互作用：有效势分析和数值模拟

Abstract: Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These boson stars are solitonic solutions to the Einstein-Klein-Gordon equations, but may be approximated in the non-relativistic regime with a coupled Schr\"odinger-Poisson system. General properties of single soliton states are derived, including the possibility of quartic self-interactions. Binary collisions between two solitons are then studied, and the effects of different mass ratios, relative phases, self-couplings, and separation distances are characterized, leading to an easy conceptual understanding of how these parameters affect the collision outcome in terms of conservation of energy. Applications to dark matter are discussed. Show Chinese abstract

Abstract: 标量粒子是许多超出标准模型理论的常见预测。 如果它们足够轻且冷，就有可能形成玻色-爱因斯坦凝聚态，进而成为引力束缚的结构。 这些玻色星是爱因斯坦-克莱因-戈登方程的孤子解，但在非相对论情况下可以用耦合的薛定谔-泊松系统进行近似。 推导了单个孤子态的一般特性，包括四次自相互作用的可能性。 随后研究了两个孤子之间的二元碰撞，并描述了不同质量比、相对相位、自耦合和分离距离的影响，从而得出这些参数如何在能量守恒方面影响碰撞结果的简单概念理解。 讨论了对暗物质的应用。