Quantum Solitons with Cylindrical Symmetry

Details Quantum Solitons with Cylindrical Symmetry Quantum Solitons with Cylindrical Symmetry

1993-08-04

arxiv.org/abs/hep-ph/9308220v1

Theor.Math.Phys. 104 (1995) 961-970; Teor.Mat.Fiz. 104 (1995) 248-259

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX

Scientific paper

Soliton solutions with cylindrical symmetry are investigated within the nonlinear $\sigma $-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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