具有幂律渐近性的$φ^8$扭结的散射
Scattering of the $φ^8$ kinks with power-law asymptotics
摘要：
我们研究的散射的$φ^8$扭结彼此，即，我们认为这些$φ^8$扭结具有幂律渐近。缓慢的幂律衰减导致扭结和反扭结之间的长程相互作用。我们研究散射的情况下，如何依赖于碰撞扭结的初始速度。特别是，我们观察到的“逃逸窗口”-逃逸的扭结后，两个或两个以上的碰撞，解释的平移和振动模式之间的共振能量交换。为了阐明这一现象，我们还分析了一个孤立的扭结和复合扭结+antikink配置的激发光谱。
英文摘要：
We study the scattering of the $φ^8$ kinks off each other, namely, we consider those $φ^8$ kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the `escape windows' -- the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.
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