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The characteristic feature of the ground state configuration of the Skyrme model description of nuclei is the absence of recognizable individual nucleons. The ground state of the skyrmion with baryon number 2 is axially symmetric, and is…

Nuclear Theory · Physics 2016-08-16 T. Krupovnickas , E. Norvaišas , D. O. Riska

A topological lower bound on the Skyrme energy which depends explicity on the pion mass is derived. This bound coincides with the previously best known bound when the pion mass vanishes, and improves on it whenever the pion mass is…

High Energy Physics - Theory · Physics 2014-09-04 Derek Harland

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

The Skyrme model is extended with a sextic derivative term - called the BPS-Skyrme term - and a repulsive potential term - called the loosely bound potential. A large part of the model's parameter space is studied for the 4-Skyrmion which…

High Energy Physics - Phenomenology · Physics 2018-12-03 Sven Bjarke Gudnason

This paper explores the energy landscape of ferromagnetic multilayer heterostructures that feature magnetic skyrmions -- tiny whirls of spins with non-trivial topology -- in each magnetic layer. Such magnetic heterostructures have been…

Analysis of PDEs · Mathematics 2026-04-03 N. J. Dubicki , V. V. Slastikov , A. Bernand-Mantel , C. B. Muratov

Fusion barriers are determined in the framework of the Skyrme energy-density functional together with the semi-classical approach known as the Extended Thomas-Fermi method. The barriers obtained in this way with the Skyrme interaction SkM*…

Nuclear Theory · Physics 2015-06-26 A. Dobrowolski , K. Pomorski , J. Bartel

Exact analytic solutions of the Skyrme model defined on a spherically symmetric $R^{(1,1)} \times S^2$ geometry, chosen to mimic finite volume effects, are presented. The static and spherically symmetric configurations have non-trivial…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Francisco Correa , Jorge Zanelli

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 Skyrme crystal is built up of repeating units similar to the cubic Skyrmion of baryon number 4. Using this as guide, we construct new Skyrmion solutions in the massive pion case, with various baryon numbers up to 108. Most of our…

High Energy Physics - Theory · Physics 2013-05-01 D. T. J. Feist , P. H. C. Lau , N. S. Manton

Skyrmion-containing devices have been proposed as a promising solution for low energy data storage. These devices include racetrack or logic structures and require skyrmions to be confined in regions with dimensions comparable to the size…

We find approximate solutions for the two-dimensional non-linear {\Sigma}-model with Dzyalioshinkii-Moriya term, representing magnetic Skyrmions. They are built in an analytic form, by pasting different approximate solutions found in…

Strongly Correlated Electrons · Physics 2017-10-10 Nicolas Grandi , Mauricio Sturla

In order to develop a model that can describe both a single baryon and multi-baryon systems on the same footing, we re-investigate the Skyrme model in a chiral Lagrangian derived from the hidden local symmetry (HLS) up to $O(p^4)$ including…

High Energy Physics - Phenomenology · Physics 2014-02-13 Yongseok Oh

Skyrmions are stable topological textures that have garnered substantial attention within the ferroelectric community for their exotic functional properties. While previous studies have questioned the feasibility of [001]$_{\text{pc}}$…

Materials Science · Physics 2025-08-01 Fernando Gómez-Ortiz , Louis Bastogne , Sriram Anand , Miao Yu , Xu He , Philippe Ghosez

We introduce a Skyrme type model with the target space being the 3-sphere S^3 and with an action possessing, as usual, quadratic and quartic terms in field derivatives. The novel character of the model is that the strength of the couplings…

High Energy Physics - Theory · Physics 2017-09-13 L. A. Ferreira , Ya. Shnir

We consider a class of (2+1) dimensional baby Skyrme models with potentials that have more than one vacum. These potentials are generalisation of old and new baby Skyrme models;they involve more complicated dependence on phi_3.We find that…

High Energy Physics - Theory · Physics 2009-10-31 P. Eslami , W. J. Zakrzewski , M. Sarbishaei

Hopf solitons in the Skyrme-Faddeev model -- S^2-valued fields on R^3 with Skyrme dynamics -- are string-like topological solitons. In this Letter, we investigate the analogous lattice objects, for S^2-valued fields on the cubic lattice Z^3…

High Energy Physics - Theory · Physics 2009-11-11 R. S. Ward

Purely baryonic weak decays of heavy baryons are investigated within the framework of the Skyrme model. These decays belong to a new class of unobserved decay channels, which would help us to test the standard model, particularly potential…

High Energy Physics - Phenomenology · Physics 2026-03-16 Chao-Qiang Geng , Chao Han

Based on the observation that the skyrmion in Skyrme theory can be viewed as a dressed monopole, we show that the skyrmions have two independent topology, the baryon topology $\pi_3(S^3)$ and the monopole topology $\pi_2(S^2)$. With this we…

High Energy Physics - Theory · Physics 2018-03-22 Y. M. Cho , Kyoungtae Kimm , J. H. Yoon , Pengming Zhang

Skyrmions are important in topological quantum field theory for being soliton solutions of a nonlinear sigma model and in information technology for their attractive applications. Skyrmions are believed to be circular and stripy spin…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 X. R. Wang , X. C. Hu , H. T. Wu

We introduce a novel Skyrme-like conserved current in the effective theory of pions and vector mesons based on the idea of hidden local symmetry. The associated charge is equivalent to the skyrmion charge for any smooth configuration. In…

High Energy Physics - Theory · Physics 2020-07-22 Avner Karasik