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The Skyrme model is a low energy effective field theory of strong interactions where nuclei and baryons appear as collective excitations of pionic degrees of freedom. In the last years, there has been a revival of Skyrme's ideas and new…

High Energy Astrophysical Phenomena · Physics 2019-10-04 Carlos Naya

The instanton in the Sakai-Sugimoto model corresponds to the Skyrmion on the holographic boundary - which is asymptotically flat - and is fundamentally different from the flat Minkowski space Yang-Mills instanton. We use the…

High Energy Physics - Theory · Physics 2024-09-10 Markus A. G. Amano , Sven Bjarke Gudnason

There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU(2), and its singularities correspond to the points…

High Energy Physics - Theory · Physics 2009-11-07 Conor J. Houghton , Steffen Krusch

A general review of the crystalline solutions of the generalized Skyrme model and their application to the study of cold nuclear matter at finite density and the Equation of State (EOS) of neutron stars is presented. For the relevant range…

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

We generalize the approach of Atiyah and Manton for generating Skyrmion configurations from instantons. The result is a series which parameters are found directly from the chiral angle equation. The series converge rapidly to the exact…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Dion , L. Marleau

The Skyrme model provides a novel unified approach to nuclear physics. In this approach, single baryon, baryonic matter and medium-modified hadron properties are treated on the same footing. Intrinsic density dependence (IDD) reflecting the…

Nuclear Theory · Physics 2017-01-20 Yong-Liang Ma , Mannque Rho

A Skyrme type Lagrangian for a skyrmion imbedded in a baryon rich environment is proposed. The dependence of static nucleon properties and nucleon - nucleon tensor interaction on nuclear density is investigated.

Nuclear Theory · Physics 2008-11-26 F. Khanna , A. M. Rakhimov , M. M. Musakhanov , U. T. Yakhshiev

We study static solutions of the standard Skyrme model with a pion mass. Using approximately $10^5$ pseudo-random initial configurations made of single Skyrmions in the non-symmetrized product Ansatz and an automatic detection of repeated…

High Energy Physics - Theory · Physics 2022-08-16 Sven Bjarke Gudnason , Chris Halcrow

We explore the hadron properties in dense baryonic matter in a unified way by using a Skyrme model constructed with an effective Lagrangian which includes the $\rho$ and $\omega$ vector mesons as hidden gauge bosons and is valid up to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Yong-Liang Ma , Masayasu Harada , Hyun Kyu Lee , Yongseok Oh , Mannque Rho

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

A necessary condition for the existence of a skyrmion in two-component Bose-Einstein condensates with $\mathrm{SU(2)}$ symmetry was recently provided by two of the authors [Phys. Rev. Lett. {\bf 97}, 080403 (2006)], by mapping the problem…

Other Condensed Matter · Physics 2009-05-19 Akiyuki Tokuno , Yohei Mitamura , Masaki Oshikawa , Igor F. Herbut

We study an interacting ensemble of instantons at finite baryon chemical potential. We emphasize the importance of fermionic zero modes and calculate the fermion induced interaction between instantons at non-zero chemical potential. We show…

High Energy Physics - Phenomenology · Physics 2009-10-30 Thomas Schaefer

Magnetic skyrmions are topological quasiparticles with great potential for applications in future information storage and processing devices because of their nanoscale size, high stability, and large velocity. Recently, the high-frequency…

Applied Physics · Physics 2019-08-14 Xing Chen , Wang Kang , Daoqian Zhu , Na Lei , Xichao Zhang , Yan Zhou , Youguang Zhang , Weisheng Zhao

One problem in the application of the Skyrme model to nuclear physics is that it predicts too large a value for the compression modulus of nuclear matter. Here we investigate the thermodynamics of the BPS Skyrme model at zero temperature…

High Energy Physics - Theory · Physics 2014-08-06 C. Adam , C. Naya , J. Sanchez-Guillen , J. M. Speight , A. Wereszczynski

The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of "homogeneous coordinates" for both the spacetime and the moduli space turns out to be useful. It is shown that the conformal…

High Energy Physics - Theory · Physics 2009-11-10 Yu Tian

The normal mode spectra of multiskyrmions play a key role in their quantisation. We present a general method capable of predicting all the low-lying vibrational modes of known minimal energy multiskyrmions. In particular, we explain the…

High Energy Physics - Theory · Physics 2007-05-23 Kim Baskerville , Robin Michaels

The investigation of magnetic solitons often relies on numerical modeling to determine key features such as stability, annihilation, nucleation, and motion. However, as soliton sizes approach atomic length scales, the accuracy of these…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Matthew Copus , Ezio Iacocca

We apply two very different approaches to calculate Skyrmions with baryon number B less than 23. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann…

High Energy Physics - Theory · Physics 2009-11-07 Richard Battye , Paul Sutcliffe

Since the 1950s Heisenberg and others have attempted to explain the appearance of countable particles in quantum field theory in terms of stable localized field configurations. As an exception Skyrme's model succeeded to describe nuclear…

Statistical Mechanics · Physics 2009-11-11 U. K. Roessler , A. N. Bogdanov , C. Pfleiderer