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Related papers: Multi-soliton dynamics in the Skyrme model

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We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor , Germar Knoechlein

It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multi-Skyrmions in such a theory. The rational map ansatz is used to investigate…

High Energy Physics - Theory · Physics 2009-11-06 Paul Sutcliffe

We study the zero-temperature crystalline structure of baby Skyrmions by applying a full-field numerical minimization algorithm to baby Skyrmions placed inside different parallelogramic unit-cells and imposing periodic boundary conditions.…

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

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

Soliton models are used in elementary particle physics and nuclear physics to model extended objects such as nucleons, using effective field theories derived from more fundamental theories such as QCD. Computer simulation requires some sort…

High Energy Physics - Theory · Physics 2007-05-23 George Jaroszkiewicz , Vladimir Nikolaev

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang-Mills instanton to produce a Skyrmion with a baryon number…

High Energy Physics - Theory · Physics 2023-10-03 Derek Harland , Paul Sutcliffe

We present our first results of numerical simulations of two skyrmion dynamics using an $\omega$-meson stabilized effective Lagrangian. We consider skyrmion-skyrmion scattering with a fixed initial velocity of $\beta=0.5$, for various…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. D. Amado , M. A. Halasz , P. Protopapas

We propose a new DBI extension of a Skyrme type model which allows for BPS topological solitons with arbitrary value of the baryon charge. The model is built out of the baryon density squared and in the limit of small fields tends to the…

Mathematical Physics · Physics 2014-05-08 Łukasz Bednarski

Magnetic skyrmions are topological magnetic spin structures exhibiting particle-like behaviour. They are of strong interest from a fundamental viewpoint and for application, where they have potential to act as information carriers in future…

The free energy and the entropy of magnetic skyrmions with respect to the collinear state are calculated for a (Pt$_{0.95}$Ir$_{0.05}$)/Fe bilayer on Pd(111) via atomistic spin model simulations. The simulations are carried out starting…

Statistical Mechanics · Physics 2021-06-16 Daniel Schick , Markus Weißenhofer , Levente Rózsa , Ulrich Nowak

Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. While many magnetic systems can host skyrmions as statically stable…

Strongly Correlated Electrons · Physics 2025-01-22 Vladyslav M. Kuchkin , Bruno Barton-Singer , Pavel F. Bessarab , Nikolai S. Kiselev

We examined energy spectrums of some particular systems of binary spins. It is shown that the configuration space can be divided into classes, and in the limit the energy distributions in these classes can be approximated by the normal…

Disordered Systems and Neural Networks · Physics 2015-05-14 Boris Kryzhanovsky , Leonid Litinskii

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

The minimal energy B=6 solution of the Skyrme model is a static soliton with $D_{4d}$ symmetry. The symmetries of the solution imply that the quantum numbers of the ground state are the same as those of the Lithium-6 nucleus. This…

High Energy Physics - Theory · Physics 2013-05-29 Nicholas S. Manton , Stephen W. Wood

The chiral symmetry-breaking term of the Skyrme model with massive pion is modified to obtain the hedgehog profile function which is in best coincidence with the kink-like profile function. For the modified Lagrangian, the minimum of the…

Quantum Physics · Physics 2007-05-23 Nguyen Vien Tho , Phu Chi Hoa

The BPS Skyrme model is a model containing an $SU(2)$-valued scalar field, in which a Bogomol'nyi-type inequality can be satisfied by soliton solutions. In this model, the energy density of static configurations is the sum of the square of…

High Energy Physics - Theory · Physics 2016-07-26 Árpád Lukács

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on $S^1\times\mathbb{R}^3$, in which skyrmions are well-approximated by calorons and monopoles. In particular we study the spherically symmetric solutions to…

High Energy Physics - Theory · Physics 2018-11-27 Josh Cork

It is well-known that the winding number of the Skyrmion can be identified as the baryon number. We show in this paper that this result can also be established using the Atiyah-Singer index theorem and spectral flow arguments. We argue that…

High Energy Physics - Theory · Physics 2009-10-31 A. P. Balachandran , S. Vaidya

We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states. After an overview of magnetic monopoles, we discuss the BPS limit and its…

High Energy Physics - Theory · Physics 2008-11-26 Erick J. Weinberg , Piljin Yi
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