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Related papers: Baby Skyrmion chains

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This is one of the `New Talents' seminars at `Erice International School of Subnuclear Physics 1999' and looks at numerical studies of (2+1)D topological Skyrme-like solitons; the baby skyrmions. We explain the concept of integrable and…

High Energy Physics - Theory · Physics 2007-05-23 Tom Weidig

This letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the…

High Energy Physics - Theory · Physics 2011-01-27 J. Silva Lobo , R. S. Ward

An omega-meson extension of the Skyrme model - without the Skyrme term but including the pion mass - first considered by Adkins and Nappi is studied in detail for baryon numbers 1 to 8. The static problem is reformulated as a constrained…

High Energy Physics - Theory · Physics 2020-07-28 Sven Bjarke Gudnason , James Martin Speight

We find new spherically symmetric charged boson star solutions of a complex scalar field coupled non-minimally to gravity by a "John-type" term of Horndeski theory, that is a coupling between the kinetic scalar term and Einstein tensor. We…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Y. Verbin , Y. Brihaye

We study the phenomenon of spontaneous breaking of rotational symmetry (SBRS) in the rotating solutions of two types of baby Skyrme models. In the first the domain is a two-sphere and in the other, the Skyrmions are confined to the interior…

High Energy Physics - Phenomenology · Physics 2008-11-26 Itay Hen , Marek Karliner

A very simple, quadratic potential is used to construct vortex strings in a generalized Skyrme model and an additional quadratic potential is used to embed sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions on a…

High Energy Physics - Theory · Physics 2016-07-07 Sven Bjarke Gudnason , Muneto Nitta

We review the SU(2) Skyrme model and describe its topological soliton solutions, which are called Skyrmions. Skyrmions provide a model of nuclei in which the conserved topological charge is identified with the baryon number of a nucleus.…

High Energy Physics - Theory · Physics 2008-09-23 Nicholas S. Manton , Stephen W. Wood

In this paper we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize the energy of…

High Energy Physics - Theory · Physics 2009-11-07 Richard Battye , Conor Houghton , Paul Sutcliffe

We show that the Skyrme theory possesses a submodel with an infinite number of local conserved currents. The constraints leading to the submodel explore a decomposition of SU(2) with a complex field parametrizing the symmetric space…

High Energy Physics - Theory · Physics 2011-07-19 L. A. Ferreira , J. Sanchez-Guillen

We investigate multi-monopole solutions of a modified version of the BPS Yang-Mills-Higgs model in which a term quartic in the covariant derivatives of the Higgs field (a Skyrme term) is included in the Lagrangian. Using numerical methods…

High Energy Physics - Theory · Physics 2009-11-07 D. Yu. Grigoriev , P. M. Sutcliffe , D. H. Tchrakian

We consider the classical static soliton solutions of the Skyrme model with false vacuum potential. We make use of fully three-dimensional relaxation calculations to construct global energy minimizers in the sectors of topological degrees…

High Energy Physics - Theory · Physics 2022-07-13 L. R. Livramento , Ya. Shnir

We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed…

High Energy Physics - Theory · Physics 2017-09-12 Sven Bjarke Gudnason , Muneto Nitta

We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diverging anisotropy term, which enforces a preferred background…

Analysis of PDEs · Mathematics 2025-03-20 Luca Briani , Marco Cicalese , Leonard Kreutz

We propose and investigate several complex versions of extensions and restrictions of the Skyrme model with a well-defined Bogomolny-Prasad-Sommerfield (BPS) limit. The models studied possess complex kink, anti-kink, semi-kink, massless and…

High Energy Physics - Theory · Physics 2021-08-13 Francisco Correa , Andreas Fring , Takanobu Taira

We report the most general expression for the chiral charges of a non-universal $U(1)'$ with identical charges for the first two families but different charges for the third one. The model is minimal in the sense that only standard model…

High Energy Physics - Phenomenology · Physics 2017-06-21 Richard H. Benavides , Luis Alfredo Muñoz , William A. Ponce , Oscar Rodríguez , Eduardo Rojas

We introduce a system composed of two (2+1)-dimensional baby-skyrmion models (BSMs) set on parallel planes and linearly coupled by tunneling of fields. This system can be realized in a dual-layer ferromagnetic medium. Unlike dual-core…

High Energy Physics - Theory · Physics 2015-06-18 Boris A. Malomed , Yakov Shnir , Gleb Zhilin

We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a $Z_2$--symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol'nyi procedure that…

High Energy Physics - Theory · Physics 2025-02-17 C. A. I. Florián , Rodolfo Casana , André C. Santos

We construct discrete analogs of Skyrmions in nonlinear dynamical lattices. The Skyrmion is built as a vortex soliton of a complex field, coupled to a dark radial soliton of a real field. Adjusting the Skyrmion ansatz to the lattice setting…

Other Condensed Matter · Physics 2012-05-11 P. G. Kevrekidis , R. Carretero-Gonzalez , D. J. Frantzeskakis , B. A. Malomed , F. K. Diakonos

We study solutions of the Einstein-Skyrme model. Firstly we consider test field Skyrmions on the Kerr background. These configurations -- hereafter dubbed Skerrmions -- can be in equilibrium with a Kerr black hole (BH) by virtue of a…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

The dynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation, was studied in the presence of various potential obstructions. The baby skyrmion configuration was constructed from two Q=1 hedgehog solutions to the baby…

Pattern Formation and Solitons · Physics 2009-04-17 J. C. Collins , W. J. Zakrzewski
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