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A restriction of the baby Skyrme model consisting of the quartic and potential terms only is investigated in detail for a wide range of potentials. Further, its properties are compared with those of the corresponding full baby Skyrme…

High Energy Physics - Theory · Physics 2010-04-14 C. Adam , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

We introduce a consistent ansatz for the baby Skyrme model in (2+1)-dimensions which is able to reduce the complete set of field equations to just one equation for the profile function in situations in which the baby baryon charge can be…

High Energy Physics - Theory · Physics 2021-02-03 Marco Barsanti , Stefano Bolognesi , Fabrizio Canfora , Gianni Tallarita

We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

The baby Skyrme model is studied with a novel choice of potential, $V=1/2 \phi_3^2$. This "easy plane" potential vanishes at the equator of the target two-sphere. Hence, in contrast to previously studied cases, the boundary value of the…

High Energy Physics - Theory · Physics 2015-03-17 Juha Jäykkä , Martin Speight

We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree…

High Energy Physics - Theory · Physics 2023-06-21 Leandro Roza Livramento , Eugen Radu , Yakov Shnir

We propose a new Skyrme-like model with fields taking values on the sphere S^3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the…

High Energy Physics - Theory · Physics 2015-06-16 L. A. Ferreira , Wojtek J. Zakrzewski

The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. In this paper we introduce a version of the baby Skyrme model in which the global O(3) symmetry is broken to…

High Energy Physics - Theory · Physics 2015-05-28 Juha Jäykkä , Martin Speight , Paul Sutcliffe

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have interesting discrete symmetries and can only be calculated…

High Energy Physics - Theory · Physics 2015-06-12 David Foster , Steffen Krusch

We study the structure of minimal-energy solutions of the baby Skyrme models for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D nuclear Skyrme model, a potential term must be present in the (2+1)D Skyrme model to…

High Energy Physics - Theory · Physics 2009-10-31 Tom Weidig

We study the properties of soliton solutions in an analog of the Skyrme model in 2+1 dimensions whose Lagrangian contains the Skyrme term and the mass term, but no usual kinetic term. The model admits a symmetry under area preserving…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Gisiger , M. B. Paranjape

Skyrmions are extended field configurations, initially proposed to describe baryons as topological solitons in an effective field theory of mesons. We investigate and confirm the existence of skyrmions within the electroweak sector of the…

High Energy Physics - Phenomenology · Physics 2021-04-07 Juan Carlos Criado , Valentin V. Khoze , Michael Spannowsky

We study the higher derivative chiral models with four supercharges and BPS states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields F which causes distinct on-shell branches associated…

High Energy Physics - Theory · Physics 2014-11-11 Muneto Nitta , Shin Sasaki

Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions…

High Energy Physics - Theory · Physics 2017-11-30 Federico Carrasco , Oscar Reula

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

We show that the BPS Skyrme model, as well as its (2+1) dimensional baby version (restricted), can be coupled with an impurity in the BPS preserving manner. The corresponding Bogomolny equations are derived.

High Energy Physics - Theory · Physics 2022-12-15 Ł. T. Stȩpień

We study the BPS Skyrme model with potentials breaking the isospin symmetry and analyse how properties of exact solitonic solutions depend on a form of the isospin breaking potential. In the case of the strong symmetry breaking a new…

High Energy Physics - Theory · Physics 2016-11-23 Pawel Klimas

The supersymmetric baby-Skyrme model is an interesting field theoretical model, and its BPS states have been studied using the usual methods. Here, we propose a novel method to rigorously obtain both topologically stable BPS and non-BPS…

High Energy Physics - Theory · Physics 2025-04-28 Emir Syahreza Fadhilla , Ardian Nata Atmaja , Bobby Eka Gunara , Mir Faizal

We study various classical solutions of the baby-Skyrmion model in $(2+1)$ dimensions. We point out the existence of higher energy states interpret them as resonances of Skyrmions and anti-Skyrmions and study their decays. Most of the…

High Energy Physics - Theory · Physics 2015-06-26 A. Kudryavtsev , B. Piette , W. J. Zakrzewski

In this work we analize how the inclusion of extra mesonic degrees of freedom affect the finite density solitons crystals of the Skyrme model. In particular, the first analytic examples of hadronic crystals at finite baryon density in both…

High Energy Physics - Theory · Physics 2022-08-17 Gonzalo Barriga , Fabrizio Canfora , Marcela Lagos , Matías Torres , Aldo Vera

We consider rigid-body quantization of the Skyrmion in the most general four-derivative generalization of the Skyrme model with a potential giving pions a mass, as well as in a class of higher-order Skyrme models. We quantize the spin and…

High Energy Physics - Theory · Physics 2024-06-05 Sven Bjarke Gudnason