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arXiv · hep-ph/9308220

Quantum Solitons with Cylindrical Symmetry

N. Chepilko·A. Kobushkin·A. Syamtomov
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Abstract

Soliton solutions with cylindrical symmetry are investigated within the nonlinear $σ$-model disregarding the Skyrme-stabilization term. The solitons are stabilized by quantization of collective breathing mode and collapse in the $\hbar \to 0$ limit. It is shown that for such stabilization mechanism the model, apart from solitons with integer topological number $B$, admits the solitons with half-odd $B$. The solitons with integer $B$ have standard spin-isospin classification, while $B={\ds {1\over 2}}$ solitons are shown to be characterized by spin, isospin and some additional "momentum".

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N. Chepilko, A. Kobushkin, A. Syamtomov. 1993-08-04. Quantum Solitons with Cylindrical Symmetry. https://arxiv.org/abs/hep-ph/9308220

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