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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

An unified approximated solution for symmetric Skyrmions was proposed for the SU(2) Skyrme model for baryon numbers up to 8,which take the hybrid form of a kink-like solution and that given by the instanton method. The Skyrmion profiles are…

High Energy Physics - Phenomenology · Physics 2011-03-31 Duo-Jie Jia , Xiao-Wei Wang

We briefly review the generalized Skyrmion model for the baryon recently suggested by us. It takes into account the tower of vector and axial mesons as well as the chiral symmetry breaking. The generalized Skyrmion model provides the…

High Energy Physics - Phenomenology · Physics 2015-06-18 A. Gorsky , A. Krikun

In the Skyrme model, the Lagrangian can be quantized in several ways using the collective coordinate approach. Not all of which produce quantum states that can be interpreted as physical particles. For example the SU(2) collective…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. H. Wong

We study a Skyrme-type model with a potential term motivated by Bose-Einstein condensates (BECs), which we call the BEC Skyrme model. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order…

High Energy Physics - Theory · Physics 2015-02-24 Sven Bjarke Gudnason , Muneto Nitta

We study solutions of the Einstein-Skyrme model. Firstly we consider test field Skyrmions on the Kerr background. These configurations -- hereafter dubbed Skerrmions -- can be in equilibrium with a Kerr black hole (BH) by virtue of a…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge -n antiSkyrmion (with n…

High Energy Physics - Theory · Physics 2009-11-10 Steffen Krusch , Paul Sutcliffe

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

We derive the generalized Skyrme model as a low-energy effective model of the Sakai-Sugimoto model. The novelty with the past is the presence of the sextic term equal to the topological charge squared. This term appears when the $\omega$…

High Energy Physics - Theory · Physics 2018-02-07 Lorenzo Bartolini , Stefano Bolognesi , Andrea Proto

We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of…

High Energy Physics - Lattice · Physics 2009-10-31 Alec J. Schramm , Benjamin Svetitsky

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

The rational map approximation to the solution to the SU(2) Skyrme model with baryon number B=4 is canonically quantized. The quantization procedure leads to anomalous breaking of the chiral symmetry, and exponential falloff of the energy…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Acus , E. Norvaisas , D. O. Riska

We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We used Euler angles decomposition for arbitrary N and the generalized hedgehog…

High Energy Physics - Theory · Physics 2020-07-01 Pedro D. Alvarez , Sergio L. Cacciatori , Fabrizio Canfora , Bianca L. Cerchiai

In present paper we show that many properties of the baby skyrmions, which have been determined numerically, can be understood in terms of an analytic approximation. In particular, we show that this approximation captures properties of the…

High Energy Physics - Theory · Physics 2009-11-07 T. A. Ioannidou , V. B. Kopeliovich , W. J. Zakrzewski

The Skyrme-Faddeev model has planar soliton solutions with target space $\mathbb{C}P^N$. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian of the model plays a crucial role for the statistical properties of the solutions.…

High Energy Physics - Theory · Physics 2019-10-24 Yuki Amari , Masaya Iida , Nobuyuki Sawado

The Skyrme model is reconsidered from an effective theory point of view. Starting with the most general Lagrangian up to including terms of order $p^4$, $N_c$ and $\delta m^2$ ($\delta m\equiv m_s-m$), we obtain new interactions, which have…

High Energy Physics - Phenomenology · Physics 2017-08-23 Koji Harada

In the Skyrme model with massless pions, the minimal energy multi-Skyrmions are shell-like, with the baryon density localized on the edges of a polyhedron that is approximately spherical and generically of the fullerene-type. In this paper…

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

A generalized version of the Randall-Sundrum model-2 with different cosmological constants on each side of a brane has been discussed. A possibility of replacing the singular brane by a configuration of a scalar field has been also…

High Energy Physics - Theory · Physics 2015-06-18 Aqeel Ahmed , Lukasz Dulny , Bohdan Grzadkowski

The statistical model of hadronization succeeds in reproducing particle abundances and transverse momentum spectra in high energy collisions of elementary particles as well as of heavy ions. Despite its apparent success, the interpretation…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Becattini

A non-linear sigma model mimicking the Skyrme model on S_3 is proposed and a family of classical solutions to the equations are constructed numerically. The solutions terminate into catastrophe-like spikes at critical values of the Skyrme…

High Energy Physics - Theory · Physics 2009-10-31 Yves Brihaye , Claude Gabriel