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We establish upper and lower universal bounds for potentials of weighted designs on the sphere $\mathbb{S}^{n-1}$ that depend only on quadrature nodes and weights derived from the design structure. Our bounds hold for a large class of…

Metric Geometry · Mathematics 2024-12-11 S. Borodachov , P. Boyvalenkov , P. Dragnev , D. Hardin , E. Saff , M. Stoyanova

We compute new solutions of the Skyrme model with massive pions. Concentrating on baryon numbers which are a multiple of four, we find low energy Skyrmion solutions which are composed of charge four sub-units, as in the alpha-particle model…

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

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 formulate four-dimensional $\mathcal{N} = 1$ supersymmetric nonlinear sigma models on Hermitian symmetric spaces with higher derivative terms, free from the auxiliary field problem and the Ostrogradski's ghosts, as gauged linear sigma…

High Energy Physics - Theory · Physics 2021-01-13 Muneto Nitta , Shin Sasaki

We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional…

High Energy Physics - Theory · Physics 2010-11-11 Yves Brihaye , Térence Delsate , Nobuyuki Sawado , Yuta Kodama

We consider gauged skyrmions with boundary conditions which break the gauge from $\mathrm{SU}(2)$ to $\mathrm{U}(1)$ in models derived from Yang-Mills theory. After deriving general topological energy bounds, we approximate charge $1$…

High Energy Physics - Theory · Physics 2022-01-07 Josh Cork , Derek Harland , Thomas Winyard

The Improved Quantum Molecular Dynamics model is further developed by introducing new parameters in interaction potential energy functional based on Skyrme interaction of SkM$^{*}$ and SLy series. The properties of ground states of selected…

Nuclear Theory · Physics 2009-11-10 Ning Wang , Zhuxia Li , Xizhen Wu , Junlong Tian , YingXun Zhang , Min Liu

We calculate nucleon-nucleon scattering at low energies and large impact parameter in the Skyrme model within the framework for soliton scattering proposed by Manton. This corresponds to a truncation of the degrees of freedom to the twelve…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Gisiger , M. B. Paranjape

Generalized density dependence in Skyrme effective interactions is investigated to get forces valid beyond the mean field approximation. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter up to pure…

Nuclear Theory · Physics 2015-06-26 B. Cochet , K. Bennaceur , P. Bonche , T. Duguet , J. Meyer

We present the development of the extended Skyrme N2LO pseudo-potential in the case of spherical even-even nuclei calculations. The energy density functional is first presented. Then we derive the mean-field equations and discuss the…

Nuclear Theory · Physics 2017-11-01 P. Becker , D. Davesne , J. Meyer , J. Navarro , A. Pastore

We investigate the relation between the BPS baby Skyrme model and its vector meson formulation, where the baby Skyrme term is replaced by a coupling between the topological current $B_\mu$ and the vector meson field $\omega_\mu$. The vector…

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

One of the standard ways to study scenarios beyond the Standard Model involves extending the Higgs Sector. This work examines the Three Higgs Doublet Model (3HDM) in a Type-Z or democratic setup, where each Higgs doublet couples exclusively…

High Energy Physics - Phenomenology · Physics 2025-07-17 Nipun Batra , Baradhwaj Coleppa , Akshat Khanna , Santosh Kumar Rai , Agnivo Sarkar

A systematic numerical study of the classical solutions to the combined system consisting of the Georgi-Glashow model and the SO(3) gauged Skyrme model is presented. The gauging of the Skyrme system permits a lower bound on the energy, so…

High Energy Physics - Theory · Physics 2010-11-19 B. Kleihaus , D. H. Tchrakian , F. Zimmerschied

We discuss the contributions to the Equation of State for the N$\ell$LO Skyrme pseudo-potential ($\ell$=2,3). We show that by adding 4th and 6th order gradient terms, it is possible to fairly reproduce the spin/isospin decomposition of an…

Nuclear Theory · Physics 2019-08-17 D. Davesne , J. Navarro , P. Becker , R. Jodon , J. Meyer , A. Pastore

Following Marleau, we study an extended version of the Skyrme model to which a sixth order term has been added to the Lagrangian and we analyse some of its classical properties. We compute the multi-Skyrmion solutions numerically for up to…

High Energy Physics - Theory · Physics 2009-11-07 I. Floratos , B. Piette

Large scale calculations are performed to establish the global mass dependence of the nuclear symmetry energy, $a_{sym}(A)$, which in turn depends on two basic ingredients: the mean-level spacing, $\epsilon(A)$, and the effective strength…

Nuclear Theory · Physics 2009-11-11 Wojciech Satula , Ramon A. Wyss , Michal Rafalski

Low-lying multibaryon configurations are studied within the bound state approach to the SU(3) Skyrme model. We use approximate ansaetze for the static background fields based on rational maps which have the same symmetries of the exact…

High Energy Physics - Phenomenology · Physics 2009-10-31 Norberto N. Scoccola

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

In this paper, we will describe recent advances in analytical methods to construct exact solutions of the Skyrme model (and its generalizations) representing inhomogeneous Hadronic condensates living at finite Baryon density. Such novel…

High Energy Physics - Theory · Physics 2023-07-14 Fabrizio Canfora , Scarlett C. Rebolledo-Caceres

We derive the nucleon-nucleon isoscalar spin-orbit potential from the Skyrme model and find good agreement with the Paris potential. This solves a problem that has been open for more than thirty years and gives a new geometric understanding…

High Energy Physics - Theory · Physics 2022-08-10 Chris Halcrow , Derek Harland
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