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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 consider the Skyrme model in the near-BPS limit. The BPS part is made of the sextic term plus a potential and the deformation is made of the standard massive Skyrme model controlled by a small parameter $\epsilon\ll1$. In order to keep…

High Energy Physics - Theory · Physics 2022-11-18 Sven Bjarke Gudnason , Marco Barsanti , Stefano Bolognesi

We review the Skyrme model approach which treats baryons as solitons of an effective meson theory. We start out with a historical introduction and a concise discussion of the original two flavor Skyrme model and its interpretation. Then we…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Schechter , H. Weigel

We study various classical solutions of the baby-Skyrmion model in $(2+1)$ dimensions. We point out the existence of higher energy states interpret them as resonances of Skyrmions and anti-Skyrmions and study their decays. Most of the…

High Energy Physics - Theory · Physics 2015-06-26 A. Kudryavtsev , B. Piette , W. J. Zakrzewski

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

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

We study various properties of a one parameter mass term for the Skyrme model, originating from the works of Kopeliovich, Piette and Zakrzewski, through the use of axially symmetric solutions obtained numerically by simulated-annealing.…

High Energy Physics - Phenomenology · Physics 2009-11-18 Merlin C. Davies , Luc Marleau

We study the multi-skyrmion states using a Skyrme model with false vacuum potential upto baryon number $B=8$ using the product ansatz. It is found that, both the false vacuum potential and true vacuum potential can yield cluster structure…

High Energy Physics - Phenomenology · Physics 2023-04-24 Jun-Shuai Wang , Yong-Liang Ma

We discuss calculations of the phase diagram of the baby-Skyrme model, a two-dimensional version of the model that has been so successful in the description of baryons. Contact is made with the sine Gordon model in 1D, and relations with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Oliver Schwindt , Niels R. Walet

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars. Gravitating hedgehog skyrmions have been investigated previously and the existence of stable solitonic stars excluded due to…

High Energy Physics - Theory · Physics 2009-09-29 B. M. A. G. Piette , G. I. Probert

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

We study an extended Skyrme model which includes fourth and sixth-order terms. We explore some static properties like the $\Delta$-nucleon mass splitting and investigate the Skyrmion breathing mode in the framework of the linear response…

High Energy Physics - Phenomenology · Physics 2009-10-22 Abdellatif Abada , Houari Merabet

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

We analyze the mechanism of condensation of orientational moduli (as introduced in [25]) on multi-Skyrmionic configurations of the four-dimensional Skyrme model. The present analysis reveals interesting novel features. First of all, the…

High Energy Physics - Theory · Physics 2016-08-24 Fabrizio Canfora , Gianni Tallarita

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

We obtain the spectra of excited heavy baryons containing one heavy quark by quantizing the exactly-solved heavy meson bound states to Skyrme soliton. The results are comparable to the recent experimental observations and quark model…

High Energy Physics - Phenomenology · Physics 2011-07-19 Yongseok Oh , Byung-Yoon Park

We construct a spherical domain wall which has baryon charge distributed on a sphere of finite radius in a Skyrme model with a sixth order derivative term and a modified mass term. Its distribution of energy density likewise takes the form…

High Energy Physics - Theory · Physics 2014-04-01 Sven Bjarke Gudnason , Muneto Nitta

We consider the statics and dynamics of F = 1 spinor Bose-Einstein condensates (BECs) confined in double well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the stationary states of the system. This…

Pattern Formation and Solitons · Physics 2009-11-13 C. Wang , P. G. Kevrekidis , N. Whitaker , T. J. Alexander , D. J. Frantzeskakis , P. Schmelcher

In the Skyrme model with massless pions, the minimal energy multi-Skyrmions are shell-like, with the baryon density localized on the edges of a polyhedron that is approximately spherical and generically of the fullerene-type. In this paper…

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

Skyrmions are extended field configurations, initially proposed to describe baryons as topological solitons in an effective field theory of mesons. We investigate and confirm the existence of skyrmions within the electroweak sector of the…

High Energy Physics - Phenomenology · Physics 2021-04-07 Juan Carlos Criado , Valentin V. Khoze , Michael Spannowsky