Structure of topological solitons in the Skyrme model

Kozhevnikov, I. R.; Rybakov, Yu. P.; Fomin, Maxim

doi:10.1007/bf01036256

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The Invariant Fields In Higher Homotopy Classes2

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1989

1993

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Cited by 4 publications

(2 citation statements)

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“…In this analysis it proves to be convenient to distinguish the classes of isotopic mappings corresponding to "single-particle" states (Kozhevnikov, Rybakov and Fomin 1988). In this analysis it proves to be convenient to distinguish the classes of isotopic mappings corresponding to "single-particle" states (Kozhevnikov, Rybakov and Fomin 1988).…”

Section: The Invariant Fields In Higher Homotopy Classesmentioning

confidence: 99%

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The Skyrme Model

Makhankov

Rybakov

Sanyuk

1993

Springer Series in Nuclear and Particle Physics

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Section: The Invariant Fields In Higher Homotopy Classesmentioning

confidence: 99%

“…Our exposition of this result will largely be based on the papers Kozhevnikov, Rybakov and Fomin 1988;Sanyuk 1989, 1992). Our exposition of this result will largely be based on the papers Kozhevnikov, Rybakov and Fomin 1988;Sanyuk 1989, 1992).…”

Section: Minima Of the Energy Functional In Higher Homotopy Classesmentioning

confidence: 99%

The Skyrme Model

Makhankov

Rybakov

Sanyuk

1993

Springer Series in Nuclear and Particle Physics

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Some stable Skyrme configurations with B>2

Sorace

Tarlini

1989

Physics Letters B

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Movable singularities in Sigma and Skyrme models

Ferreira

Neto

1992

Journal of Mathematical Physics

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The singularity structure of the solutions of the equations of motion for the Sigma and Skyrme model Lagrangians with the hedgehog ansatz is investigated. In both cases the solutions present superposed a polelike term and a logarithmic branch point. The set of solitonic configurations of the Skyrme model is characterized by the sequence of locations of their singularities on the negative real axis of the dimensionless variable z = (eFπr)2, with an accumulation point at z=0. The first few terms of the Laurent series representing the Skyrme soliton profile are shown to reproduce well the exact values in an interval about the origin. Padé approximants to the residual power series obtained after subtraction of the dominant pole term are modified in order to satisfy the constraints imposed by the asymptotic power series expansion, and approximate representations are built for the Skyrme soliton configuration, which are shown to combine simplicity with accuracy.

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Structure of topological solitons in the Skyrme model

Cited by 4 publications

References 9 publications

The Skyrme Model

The Skyrme Model

Some stable Skyrme configurations with B>2

Movable singularities in Sigma and Skyrme models

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