Baby Skyrmions stabilized by canonical quantization

Abstract

We analyse the effect of the canonical quantization of the rotational mode of the O(3) $\sigma$-model which includes the Skyrme term. Numerical evidence is presented that the quantum correction to the mass of the rotationally-invariant charge $n=1,2$ configurations may stabilize the solution even in the limit of vanishing potential. The corresponding range of values of the parameters is discussed.

10 pages, 4 figures

References in corpus (6)

• Skyrmions and the pion mass
• Spinning Skyrmions and the Skyrme Parameters
• Rotational symmetry breaking in baby Skyrme models
• Baby Skyrmions stabilized by vector mesons
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Cited by in corpus (5)

• Isospinning baby Skyrmion solutions
• Hopfions interaction from the viewpoint of the product ansatz
• Hopfion canonical quantization
• Statistical nature of Skyrme-Faddeev models in $2+1$ dimensions and normalizable fermions
• Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}{P}^N$ Skyrme-Faddeev model