经典等旋Hopf孤子
Classically Isospinning Hopf Solitons
摘要：
在含质量项的Skyrme-Faddeev模型中，对Hopf荷数为8的同位旋Hopf孤子进行了全三维数值弛豫.我们明确地允许孤子解变形和打破静态配置的对称性。事实证明，该模型具有丰富的孤子解谱，往往具有相似的能量，允许嬗变，形成新的解决方案类型和重排的频谱的最小能量孤子在一个给定的拓扑部门时，加入同位旋。我们观察到的形状的isosinning的霍普夫孤子可以定性地不同于静态解决方案。特别地，最低能量孤子的解类型可以改变。我们的数值结果与经典孤子解的量子化有关。
英文摘要：
We perform full three-dimensional numerical relaxations of isospinning Hopf solitons with Hopf charge up to 8 in the Skyrme-Faddeev model with mass terms included. We explicitly allow the soliton solution to deform and to break the symmetries of the static configuration. It turns out that the model with its rich spectrum of soliton solutions, often of similar energy, allows for transmutations, formation of new solution types and the rearrangement of the spectrum of minimal-energy solitons in a given topological sector when isospin is added. We observe that the shape of isospinning Hopf solitons can differ qualitatively from that of the static solution. In particular the solution type of the lowest energy soliton can change. Our numerical results are of relevance for the quantization of the classical soliton solutions.
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