Classically isospinning Hopf solitons

Classically isospinning Hopf solitons
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经典同向自旋霍普夫孤子

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
M. Haberichter
M. Haberichter
中科院分区:
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文献类型:
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作者:
R. Battye;M. Haberichter

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在含质量项的Skyrme-Faddeev模型中,我们对荷电高达8的同位旋Hopf孤子进行了全三维数值驰豫。我们显式地允许孤子解变形并破坏静态位形的对称性。结果表明,该模型具有丰富的孤子解的谱,通常具有相似的能量,允许变形,形成新的解类型,以及当加入同位旋时,在给定的拓扑区内最小能量孤子的谱重新排列。我们观察到同位旋霍普夫孤子的形状可以与静态解的形状定性地不同。特别是,最低能量孤子的解类型可以改变。我们的数值结果对经典孤子解的量子化具有一定的指导意义。
We perform full 3-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 similiar 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.