Geodesic
Quantum solitons with cylindrical symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 248-259

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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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     author = {N. Chepilko and A. Kobushkin and A. Syamtomov},
     title = {Quantum solitons with cylindrical symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {248--259},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a3/}
}
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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/