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Analytical treatment of skyrmions given by rational map (RM) ansaetze proposed recently for the Skyrme model is extended to the model including the 6-th order term in chiral fields derivatives in the lagrangian (the SK6 variant of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vladimir B. Kopeliovich

Magnetic skyrmions are intriguing topological spin textures that have attracted great attention due to their potential for future spintronic devices. Skyrmions have so far been explored in different magnetic materials, such as ferromagnets,…

Skyrmion walls are topologically-nontrivial solutions of the Skyrme system which are periodic in two spatial directions. We report numerical investigations which show that solutions representing parallel multi-walls exist. The most stable…

High Energy Physics - Theory · Physics 2010-02-08 J. Silva Lobo , R. S. Ward

The Skyrme model has two Skyrmion solutions of baryon number $12$, with $D_{3h}$ and $D_{4h}$ symmetries. The first has an equilateral triangular shape and the second an extended linear shape, analogous to the triangle and linear chain…

Nuclear Theory · Physics 2014-12-10 P. H. C. Lau , N. S. Manton

We study numerically the annihilation of an omega-stabilized Skyrmion and an anti-Skyrmion in three spatial dimensions. To our knowledge this is a first successful simulation of Skyrmion-anti-Skyrmion annihilation which follows through to…

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

We study fractional Skyrmions in a $\mathbb{C}P^2$ baby Skyrme model with a generalization of the easy-plane potential. By numerical methods, we find stable, metastable, and unstable solutions taking the shapes of molecules. Various…

High Energy Physics - Theory · Physics 2021-12-08 Yutaka Akagi , Yuki Amari , Sven Bjarke Gudnason , Muneto Nitta , Yakov Shnir

It has been known that a B=2 skyrmion is axially symmetric. We consider the Skyrme model coupled to gravity and obtain static axially symmetric regular and black hole solutions numerically. Computing the energy density of the skyrmion, we…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Noriko Shiiki , Nobuyuki Sawado , Takashi Torii , Kei-ichi Maeda

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

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

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new…

High Energy Physics - Phenomenology · Physics 2012-09-03 Ghil-Seok Yang , Hyun-Chul Kim

The relevance of the pion mass, provenient from a term which explicitely breaks chiral symmetry in the Lagrangian, for nucleon magnetic moment in the frame of the Skyrmion model in two different versions: the usual Skyrme model and a…

High Energy Physics - Lattice · Physics 2007-05-23 Fabio L. Braghin

Magnetic Skyrmions belong to the most interesting spin structures for the development of future information technology as they have been predicted to be topologically protected. To quantify their stability, we use an innovative multiscale…

Materials Science · Physics 2017-07-19 Andrea De Lucia , Kai Litzius , Benjamin Krüger , Oleg A. Tretiakov , Mathias Kläui

In the framework of chiral perturbation theory we investigate whether, in the presence of nucleons, a many-particle system may lower its energy density by changing its mesonic vacuum from a homogeneous to a spiral configuration. Numerical…

High Energy Physics - Phenomenology · Physics 2011-12-02 Daniel Arnold

The scattering of pions on a dibaryon configuration is analyzed within the $SU(2)$ Skyrme model. It is shown that this model leads to a low-lying $(J^P,I)= (0^-,2)$ resonance. The possibility that this resonance corresponds to one proposed…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd Schwesinger , Norberto N. Scoccola

We study the loosely bound Skyrme model with the addition of two different pion mass terms; this is the most general potential of polynomial form up to second order in the trace of the Skyrme field. The two pion mass terms are called the…

High Energy Physics - Phenomenology · Physics 2016-09-20 Sven Bjarke Gudnason , Muneto Nitta

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 canonical quantization method for collective coordinates in crystalline configurations of the generalized Skyrme model is applied in order to find the quantum ground state of Skyrmion crystals and study the quantum corrections to the…

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

In this paper, we investigate the nucleon-antinucleon static energies in the Skyrme model with the product {\it Anzatz}. The calculation shows that in the ungroomed $S\bar S$ (skyrmion and antiskyrmion) channel, which leads to rapid…

High Energy Physics - Phenomenology · Physics 2012-06-26 Mu-Lin Yan , Si Li , Bin Wu , Bo-Qiang Ma

Low-lying multibaryon configurations are studied within the bound state approach to the SU(3) Skyrme model. We use approximate ansaetze for the static background fields based on rational maps which have the same symmetries of the exact…

High Energy Physics - Phenomenology · Physics 2009-10-31 Norberto N. Scoccola