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Related papers: Skyrme crystals with massive pions

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The minimal energy B=6 solution of the Skyrme model is a static soliton with $D_{4d}$ symmetry. The symmetries of the solution imply that the quantum numbers of the ground state are the same as those of the Lithium-6 nucleus. This…

High Energy Physics - Theory · Physics 2013-05-29 Nicholas S. Manton , Stephen W. Wood

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

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

The finite-density and finite-temperature phase portraits of the baby-Skyrme and Skyrme models are investigated. Both grand-canonical and canonical approaches are employed. The grand-canonical approach can be used to find the ``natural''…

High Energy Physics - Phenomenology · Physics 2007-05-23 Oliver Schwindt , Niels R. Walet

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have interesting discrete symmetries and can only be calculated…

High Energy Physics - Theory · Physics 2015-06-12 David Foster , Steffen Krusch

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

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

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

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a…

Materials Science · Physics 2016-01-26 Adam J. Jackson , Jonathan M. Skelton , Christopher H. Hendon , Keith T. Butler , Aron Walsh

The possible boundary value problems of the skyrmions are reexamined in the original Skyrme model with two new viewpoints. The first one suggests to replace the infinity boundary point by the finite radius R, which is related to the density…

High Energy Physics - Phenomenology · Physics 2013-09-09 Viet Ai Nguyen , Khanh Duy Nguyen

At low-energy, the band structure of graphene can be approximated by two degenerate valleys $(K,K^{\prime})$ about which the electronic spectra of the valence and conduction bands have linear dispersion relations. An electronic state in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Cote , J. -F. Jobidon , H. A. Fertig

We present a summary of work done on dense hadronic matter, based on the Skyrme model, which provides a unified approach to high density, valid in the large $N_c$ limit. In our picture, dense hadronic matter is described by the {\em…

High Energy Physics - Phenomenology · Physics 2017-08-23 Byung-Yoon Park , Hee-Jung Lee , Vicente Vento , Joon-Il Kim , Dong-Pil Min , Mannque Rho

We use properties of doubly-magic nuclei and ab-initio calculations of low-density neutron matter to constrain Skyrme equations of state for neutron-rich conditions. All of these properties are consistent with a Skyrme functional form and a…

Nuclear Theory · Physics 2014-11-26 B. Alex Brown , A. Schwenk

The semiclassical description of Skyrmions at small isospin chemical potential $\mu_I$ is carefully analyzed. We show that when the calculation of the energy of a nucleon is performed using the straightforward generalization of the vacuum…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas D. Cohen , Juan A. Ponciano , Norberto N. Scoccola

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

An algorithm for determining crystal structures from diffraction data is described which does not rely on the usual Fourier-space formulations of atomicity. The new algorithm implements atomicity constraints in real-space, as well as…

Condensed Matter · Physics 2007-05-23 Veit Elser

A problem with the standard Skyrme model is that Skyrmion binding energies are around $15\%$, being much larger than the order $1\%$ binding energies of the nuclei that they aim to describe. Here we consider theories that extend the…

High Energy Physics - Theory · Physics 2018-06-05 Carlos Naya , Paul Sutcliffe

Recently, within the space of generalized Skyrme models, a BPS submodel was identified which reproduces some bulk properties of nuclear matter already on a classical level and, as such, constitutes a promising field theory candidate for the…

High Energy Physics - Theory · Physics 2013-11-20 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski