Geodesic
Quantum solitons with cylindrical symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 248-259 Cet article a éte moissonné depuis la source Math-Net.Ru

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Soliton solutions with cylindrical symmetry are investigated within the nonlinear $\sigma$-model disregarding the Skyrme-stabilization term. The solitons are stabilized by quantization of the collective breathing mode and collapse in the $\hbar \rightarrow 0$ limit. It is shown that for such stabilization mechanism the model, apart from the solitons with integer topological number ${\mathbf B}$, admits the solitons with half-odd ${\mathbf B}$. The solitons with integer ${\mathbf B}$ have standard spin-isospin classification, but the ${\mathbf B}={\displaystyle {1\over 2}}$ solitons are shown to be characterized by spin, isospin and some additional “momentum”. 
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N. Chepilko; A. Kobushkin; A. Syamtomov. Quantum solitons with cylindrical symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 248-259. http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a3/

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