旋转孤子中旋转对称性的自发破缺--高Angular Momentum激发核子的玩具模型
Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a Toy Model of Excited Nucleons with High Angular Momentum
摘要：
研究了两类baby Skyrme模型旋转解的自发破缺现象。在第一个域是一个双球，在其他的，Skyrmions被限制在一个单位盘的内部。数值计算结果表明，当Skyrmions的角动量增加到某一临界值以上时，解的旋转对称性被破坏，最小能量组态的对称性减弱.我们提出了一个可能的机制，为什么SBRS是存在于这些模型的旋转解决方案，而它是没有观察到的“通常”婴儿Skyrme模型。我们的结果可能是相关的高轨道角动量激发核子的非球形变形的定性理解。
英文摘要：
We study the phenomenon of spontaneous breaking of rotational symmetry (SBRS) in the rotating solutions of two types of baby Skyrme models. In the first the domain is a two-sphere and in the other, the Skyrmions are confined to the interior of a unit disk. Numerical full-field results show that when the angular momentum of the Skyrmions increases above a certain critical value, the rotational symmetry of the solutions is broken and the minimal energy configurations become less symmetric. We propose a possible mechanism as to why SBRS is present in the rotating solutions of these models, while it is not observed in the `usual' baby Skyrme model. Our results might be relevant for a qualitative understanding of the non-spherical deformation of excited nucleons with high orbital angular momentum.
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