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Magnetic systems are an exciting realm of study that is being explored on smaller and smaller scales. One extremely interesting magnetic state that has gained momentum in recent years is the skyrmionic state. It is characterized by a vortex…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Patrick Johnson , A K Gangopadhyay , Ramki Kalyanaraman , Zohar Nussinov

Within the class of field theories with the field contents of the Skyrme model, one submodel can be found which consists of the square of the baryon current and a potential term only. For this submodel, a Bogomolny bound exists and the…

High Energy Physics - Theory · Physics 2010-11-09 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multi-Skyrmions in such a theory. The rational map ansatz is used to investigate…

High Energy Physics - Theory · Physics 2009-11-06 Paul Sutcliffe

The differences of the masses of nuclear isotopes with atomic numbers between \~10 and ~30 can be described within the chiral soliton approach in satisfactory agreement with data. Rescaling of the model is necessary for this purpose -…

Nuclear Theory · Physics 2015-06-26 V. B. Kopeliovich , A. M. Shunderuk , G. K. Matushko

Spin textures arise in the effective action approach to the quantum Hall effect. Up to now these textures, also called Skyrmions, have been mainly studied using approximations. Studies of its finite density form, the crystal, have been…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels R. Walet , Tom Weidig

In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerene-like appearance and are well approximated by a simple…

High Energy Physics - Theory · Physics 2008-11-26 Conor Houghton , Shane Magee

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang-Mills instanton to produce a Skyrmion with a baryon number…

High Energy Physics - Theory · Physics 2023-10-03 Derek Harland , Paul Sutcliffe

We consider various forms of the mass term that can be used in the Skyrme model and their implications on the properties of baryonic states. We show that, with an appropriate choice for the mass term, without changing the asymptotic…

High Energy Physics - Theory · Physics 2009-11-11 V. B. Kopeliovich , B. Piette , W. J. Zakrzewski

Earlier work reported on the existence of a term within a generalized skyrmion approach that yields appreciable spin content for the proton. Unfortunately there is no accessible experiment that can fix the coefficient of this term directly;…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. Kaelbermann , J. M. Eisenberg

The half-skyrmions that appear in dense baryonic matter when skyrmions are put on crystals modify drastically hadron properties in dense medium and affect strongly the nuclear tensor forces, thereby influencing the equation of state (EoS)…

Nuclear Theory · Physics 2015-06-05 Huan Dong , T. T. S. Kuo , Hyun Kyu Lee , R. Machleidt , Mannque Rho

We study radial vibrations of spherically symmetric skyrmions in the BPS Skyrme model. Concretely, we numerically solve the linearised field equations for small fluctuations in a skyrmion background, both for linearly stable oscillations…

High Energy Physics - Theory · Physics 2016-12-07 C. Adam , M. Haberichter , T. Romanczukiewicz , A. Wereszczynski

We analyze the vector meson formulation of the BPS Skyrme model in (3+1) dimensions, where the term of sixth power in first derivatives characteristic for the original, integrable BPS Skyrme model (the topological or baryon current squared)…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

Static properties of multiskyrmions with baryon numbers up to 8 are calculated, including momenta of inertia and sigma-term. The calculations are based on the recently suggested SU(2) rational map ansaetze. Minimization with the help of…

High Energy Physics - Phenomenology · Physics 2009-01-07 V. B. Kopeliovich , W. J. Zakrzewski

Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimised for a periodic distribution of Skyrmions…

Condensed Matter · Physics 2019-08-15 A. G. Green , I. I. Kogan , A. M. Tsvelik

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…

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

Light-baryon resonances (with u,d, and s quarks in the SU(3) classification) fall on Regge trajectories. When their squared masses are plotted against the intrinsic orbital angular momenta {\rm L}, $\Delta^*$'s with even and odd parity can…

Nuclear Experiment · Physics 2017-08-23 E. Klempt

Recently it has been pointed out that the skyrmions carry two independent topology, the baryon topology and the monopole topology. We provide more evidence to support this. In specific, we prove that the baryon number $B$ can be decomposed…

High Energy Physics - Theory · Physics 2018-03-22 Pengming Zhang , Kyoungtae Kimm , Liping Zou , Y. M. Cho

The ground state configurations of the solution to Skyrme's topological soliton model for systems with baryon number larger than 1 are well approximated with rational map ans\"atze, without individual baryon coordinates. Here canonical…

Nuclear Theory · Physics 2009-11-10 A. Acus , J. Matuzas , E. Norvaisas , D. O. Riska

This paper describes a model for baby Skyrme crystal chunks with arbitrary potential by considering energy contributions from the bulk and surface of a crystal chunk. We focus on two potentials which yield distinct Skyrme lattices: the…

High Energy Physics - Theory · Physics 2022-01-21 Paul Leask
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