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We examine topological solitons in a minimal variational model for a chiral magnet, so-called chiral skyrmions. In the regime of large background fields, we prove linear stability of axisymmetric chiral skyrmions under arbitrary…

Classical Analysis and ODEs · Mathematics 2017-11-22 Xinye Li , Christof Melcher

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

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 consider the quantization of chiral solitons with baryon number $B>1$. Classical solitons are obtained within the framework of a variational approach. From the form of the soliton solution it can be seen that besides the group of…

High Energy Physics - Phenomenology · Physics 2008-02-03 I. V. Musatov , V. A. Nikolaev , E. Sorace , M. Tarlini , O. G. Tkachev

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

Chiral symmetry breaking in magnetic thin films stabilizes new families of topological solitons that are absent in conventional anisotropic ferromagnets. Beyond the classical chiral skyrmion, which arises in uniaxial systems through the…

Analysis of PDEs · Mathematics 2025-12-15 Glal Bacho , Christof Melcher

Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral…

Analysis of PDEs · Mathematics 2020-04-03 Stephen Gustafson , Li Wang

In this article a series of solutions with higher baryon numbers in the chiral quark soliton model are reported. The chiral quark soliton model is a simple quark model that incorporates the basic features of QCD. The B=2 axially symmetric…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nobuyuki Sawado , Noriko Shiiki

We show that continuous and spin-lattice models of chiral ferro- and antiferromagnets provide the existence of an infinite number of stable soliton solutions of any integer topological charge. A detailed description of the morphology of new…

Strongly Correlated Electrons · Physics 2019-03-01 F. N. Rybakov , N. S. Kiselev

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 black hole solutions numerically. The black hole skyrmion no longer has integer baryonic charge…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nobuyuki Sawado , Noriko Shiiki

We show a novel charge structure of baryons in electromagnetic field due to the chiral anomaly. A key connection is to treat baryons as solitons of mesons. We use Skyrmions to calculate the charge distributions in a single nucleon and find…

High Energy Physics - Phenomenology · Physics 2015-03-19 Minoru Eto , Koji Hashimoto , Hideaki Iida , Takaaki Ishii , Yu Maezawa

We present candidates for the global minimum energy solitons of charge one to nine in the Skyrme model, generated using sophisticated numerical algorithms. Assuming the Skyrme model accurately represents the low energy limit of QCD, these…

High Energy Physics - Theory · Physics 2009-10-30 Richard Battye , Paul Sutcliffe

We investigate how isospin affects the geometrical shape and energy of classical soliton solutions of topological charges $B=1-4,8$ in the Skyrme model. The novel approach in our work is that we study classically isospinning Skyrmions…

High Energy Physics - Theory · Physics 2015-01-07 Richard A. Battye , Mareike Haberichter , Steffen Krusch

The characteristic predictions of chiral soliton models - the Skyrme model and its extentions - are discussed. The chiral soliton models prediction of dibaryon states with masses below NN-pion threshold is in qualitative agreement with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir Kopeliovich

Generalizing quantum chromodynamics (QCD) from three to arbitrarily many color degrees of freedom suggests that baryons can be described as solitons in an effective meson theory whose interaction strength decreases with the number of…

High Energy Physics - Phenomenology · Physics 2025-08-19 Herbert Weigel

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 report tailed skyrmions -- a new class of stable soliton solutions of the 2D chiral magnet model. Tailed skyrmions have elongated shapes and emerge in a narrow range of fields near the transition between the spin spirals and the…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Vladyslav M. Kuchkin , Nikolai S. Kiselev , Pavel F. Bessarab

The baryon-number-two (B=2) solution based on the SU(2) chiral quark soliton model ($\chi$QSM) is solved numerically, including fully the sea quark degrees of freedom. We confirm that the axially symmetric meson configurations yield the…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Sawado , S. Oryu

The atomic-scale spin structure of individual isolated skyrmions in an ultrathin film is investigated in real space by spin-polarized scanning tunneling microscopy. Their axial symmetry as well as their unique rotational sense is revealed…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Niklas Romming , André Kubetzka , Christian Hanneken , Kirsten von Bergmann , Roland Wiesendanger

We investigate higher baryon-number states in the Chiral Quark Soliton Model using the rational map ansatz for the background chiral fields. The soliton solutions are obtained self-consistently. We show that the baryon number density has…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Sawado , N. Shiiki , S. Oryu
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