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Related papers: A multishell solution in the Skyrme model

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The modeling of nuclear reactions and radioactive decays in astrophysical or earth-based conditions requires detailed knowledge of the masses of essentially all nuclei. Microscopic mass models based on nuclear energy density functionals…

Nuclear Theory · Physics 2022-01-05 Guillaume Scamps , Stephane Goriely , Erik Olsen , Michael Bender , Wouter Ryssens

The Skyrme model is a classical field theory which has topological soliton solutions. These solitons are candidates for describing nuclei, with an identification between the numbers of solitons and nucleons. We have computed numerically,…

High Energy Physics - Theory · Physics 2009-10-31 R. A. Battye , P. M. Sutcliffe

We present the complete solution to the so-called ``Yukawa problem'' of the Skyrme model. This refers to the perceived difficulty of reproducing---purely from soliton physics---the usual pseudovector pion-nucleon coupling, echoed by pion…

High Energy Physics - Phenomenology · Physics 2009-10-28 Nicholas Dorey , James Hughes , Michael Mattis

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

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We make use of a first-principle calculation to derive an analytical form for the inter-skyrmionic…

Condensed Matter · Physics 2015-06-25 M. Abolfath , M. R. Ejtehadi

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

This paper is intended to give a review of the recent developments on black holes with Skyrme hair. The Einstein-Skyrme system is known to possess black hole solutions with Skyrme hair. The spherically symmetric black hole skyrmion with B=1…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Noriko Shiiki , Nobuyuki Sawado

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

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 the similarities between BPS monopoles and Skyrmions, and point to an underlying connection in terms of rational maps between Riemann spheres. This involves the introduction of a new ansatz for Skyrme fields. We use this to…

High Energy Physics - Theory · Physics 2009-10-30 Conor Houghton , Nicholas Manton , Paul Sutcliffe

Skyrmion crystals are the field configurations which minimize the energy per baryon in the infinitely large topological charge sector of the Skyrme model, at least for sufficiently high density. They are, therefore, an important tool to…

High Energy Physics - Theory · Physics 2022-05-04 Christoph Adam , Alberto Garcia Martin-Caro , Miguel Huidobro , Ricardo Vazquez , Andrzej Wereszczynski

We investigate the possible existence of multibaryons with heavy flavor quantum numbers using the bound state approach to the topological soliton model and the recently proposed approximation for multiskyrmion fields based on rational maps.…

High Energy Physics - Phenomenology · Physics 2011-01-25 Carlos L. Schat , Norberto N. Scoccola

The Skyrme model can be generalised to a situation where static fields are maps from one Riemannian manifold to another. Here we study a Skyrme model where physical space is two-dimensional euclidean space and the target space is the…

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

In this paper, we search for the BPS skyrmions in some BPS submodels of the generalized Skyrme model in five-dimensional spacetime using the BPS Lagrangian method. We focus on the static solutions of the Bogomolny's equations and their…

High Energy Physics - Theory · Physics 2021-07-01 Emir Syahreza Fadhilla , Bobby Eka Gunara , Ardian Nata Atmaja

A new method for approximating Skyrme solutions is developed. It consists of cutting sections out of the Skyrme crystal and smoothly interpolating between the boundary and spatial infinity. Several field configurations are constructed, and…

Nuclear Theory · Physics 2009-10-28 W. K. Baskerville

Recently we have presented in hep-th/9811071 an ansatz which allows us to construct skyrmion fields from the harmonic maps of $S\sp2$ to $CP\sp{N-1}$. In this paper we examine this construction in detail and use it to construct, in an…

High Energy Physics - Theory · Physics 2010-11-19 T. Ioannidou , B. Piette , W. J. Zakrzewski

Large-scale models of nuclear structure are currently the only way to provide consistent datasets for the many properties of thousands of exotic nuclei that are required by nucleosynthesis simulations. In [W.Ryssens et al., Eur. Phys. J. A…

Nuclear Theory · Physics 2023-05-09 Wouter Ryssens , Guillaume Scamps , Stephane Goriely , Michael Bender

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 propose using the Skyrme model on a lattice as an effective field theory of meson-baryon interactions. To this end we construct a local topological density that involves the volumes of tetrahedra in the target space S^3 and we make use…

High Energy Physics - Lattice · Physics 2017-08-23 Benjamin Svetitsky , Alec Schramm

The physical properties of bound-state charged massive scalar field configurations linearly coupled to a spherically symmetric charged reflecting shell are studied {\it analytically}. To that end, we solve the Klein-Gordon wave equation for…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Shahar Hod