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Non-topological kink scattering in a two-component scalar field theory model
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-03-05 , DOI: 10.1016/j.cnsns.2020.105251
A. Alonso-Izquierdo

In this paper the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed. A winding charge is carried by these defects. As a consequence, two different classes of kink scattering processes emerge: (1) collisions between kinks that carry the same winding number and (2) scattering events between kinks with opposite winding number. The variety of scattering channels is very rich and it strongly depends on the collision velocity and the model parameter. For the first type of events, four distinct scattering channels are found: kink reflection (kinks collide and bounce back), one-kink (partial) annihilation (the two non-topological kinks collide causing the annihilation of one half of each kink and the subsequent recombination of the other two halves, giving rise to a new non-topological kink with the opposite winding charge), winding flip kink reflection (kinks collide and emerge with the opposite winding charge) and total kink annihilation (kinks collide and decay to the vacuum configuration). For the second type of events, the scattering channels comprise bion formation (kink and antikink form a long-living bound state), kink-antikink passage (kinks collide and pass each other) and kink-antikink annihilation (kink and antikink collide and decay to the vacuum configuration).



中文翻译:

两分量标量场理论模型中的非拓扑扭结散射

本文分析了在两分量标量场理论模型族中出现的非拓扑扭结之间的散射。这些缺陷会带来绕组电荷。结果,出现了两种不同类型的扭结散射过程:(1)带有相同绕数的扭结之间的碰撞;(2)绕数相反的扭结之间的散射事件。散射通道的种类非常丰富,在很大程度上取决于碰撞速度和模型参数。对于第一种类型的事件,发现了四个不同的散射通道:扭结反射(扭结碰撞并反弹),单扭结(部分))没(这两种非拓扑纽结发生碰撞,导致每个纽结的一半被an灭,随后又使另外两半重组,从而产生了带有相反缠绕电荷的新非拓扑纽结),缠绕了翻转纽结反射(纽结发生碰撞并以相反的绕线电荷出现)和完全扭结an灭(扭结发生碰撞并衰减到真空状态)。对于第二类事件,散射通道包括仿生形成(扭结和反扭结形成长寿的结合状态),扭结-反扭结通过(扭结和相互碰撞)和扭结-反扭结an灭(扭结和反扭结发生碰撞和衰减)真空配置)。

更新日期:2020-03-05
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