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As an alternative approach to the infinite-array description of dense matter in the Skyrme model, we report about the properties of a single skyrmion on a compact 3-sphere of finite radius. The density of this matter can be increased by…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Wirzba

We present numerical evidence that suggests the introduction of a non-zero pion mass might dramatically affect the structure of minimal energy Skyrmions. It appears that the shell-like Skyrmions which are the minima when the pions are…

High Energy Physics - Phenomenology · Physics 2010-04-05 Richard Battye , Paul Sutcliffe

It is known that the interactions of single Skyrmions are asymptotically described by a Yukawa dipole potential. Less is known about the interactions of solutions of the Skyrme model with higher baryon number. In this paper, it is shown…

High Energy Physics - Theory · Physics 2015-06-03 Dankrad T. J. Feist

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

Within the set of generalized Skyrme models, we identify a submodel which has both infinitely many symmetries and a Bogomolny bound which is saturated by infinitely many exact soliton solutions. Concretely, the submodel consists of the…

High Energy Physics - Theory · Physics 2015-05-28 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term…

High Energy Physics - Theory · Physics 2020-11-17 Sven Bjarke Gudnason , Marco Barsanti , Stefano Bolognesi

In this review, we summarise the main features of the BPS Skyrme model which provides a physically well-motivated idealisation of atomic nuclei and nuclear matter: 1) it leads to zero binding energies for classical solitons (while realistic…

High Energy Physics - Theory · Physics 2015-11-18 C. Adam , C. Naya , J. Sanchez-Guillen , R. Vazquez , A. Wereszczynski

We compute the nuclear spin-orbit coupling from the Skyrme model. Previous attempts to do this were based on the product ansatz, and as such were limited to a system of two well-separated nuclei. Our calculation utilises a new method, and…

High Energy Physics - Theory · Physics 2018-08-31 Derek Harland , Nicholas S. Manton

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

The Coulomb effect, an essential ingredient in nuclear systems, is quantitatively investigated for certain Skyrmions within the Skyrme model. To do this we calculate the Coulomb energy from numerically generated multi-Skyrmions and,…

Nuclear Theory · Physics 2019-05-01 Nana Ma , Chris James Halcrow , Hongfei Zhang

The Skyrme-particle, the $skyrmion$, was introduced over half a century ago and used to construct field theories for dense nuclear matter. But with skyrmions being mathematical objects - special types of topological solitons - they can…

Strongly Correlated Electrons · Physics 2014-11-06 O. Janson , I. Rousochatzakis , A. A. Tsirlin , M. Belesi , A. A. Leonov , U. K. Roessler , J. van den Brink , H. Rosner

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

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

We consider the inclusion of the most important vibrational modes in the quantisation of the dodecahedral $B=7$ Skyrmion. In contrast to a rigid body quantisation, this formalism allows a spin $\frac{3}{2}$ state to lie below the spin…

High Energy Physics - Theory · Physics 2016-02-03 C. J. Halcrow

We investigate the ground state crystalline structure of nuclear matter in the $\omega$-meson variant of the Skyrme model. After minimizing energy with respect to variations of both the Skyrme field and the period lattice, we find four…

High Energy Physics - Theory · Physics 2024-06-19 Derek Harland , Paul Leask , Martin Speight

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

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

One of the outstanding problems in modern nuclear physics is to determine the properties of nuclei from the fundamental theory of the strong force, quantum chromodynamics (QCD). Skyrmions offer a novel approach to this problem by…

High Energy Physics - Theory · Physics 2018-12-12 Carlos Naya , Paul Sutcliffe

Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. M. A. G. Piette , B. J. Schroers , W. J. Zakrzewski

We provide analytical and numerical evidence of the existence of classically stable, string-like configurations in a 2+1 dimensional analog of the Skyrme model. The model contains a conserved topological charge usually called the baryon…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Gisiger , M. B. Paranjape