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There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU(2), and its singularities correspond to the points…

高能物理 - 理论 · 物理学 2009-11-07 Conor J. Houghton , Steffen Krusch

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…

高能物理 - 理论 · 物理学 2009-11-11 Richard Battye , Paul Sutcliffe

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…

高能物理 - 理论 · 物理学 2020-07-01 Pedro D. Alvarez , Sergio L. Cacciatori , Fabrizio Canfora , Bianca L. Cerchiai

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses…

高能物理 - 理论 · 物理学 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

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 regular and black hole solutions numerically. Computing the energy density of the skyrmion, we…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Noriko Shiiki , Nobuyuki Sawado , Takashi Torii , Kei-ichi Maeda

Although it provides a relatively good picture of the nucleons, the Skyrme Model is unable to reproduce the small binding energy in nuclei. This suggests that Skyrme-like models that nearly saturate the Bogomol'nyi bound may be more…

高能物理 - 唯象学 · 物理学 2015-06-16 Marc-Olivier Beaudoin , Luc Marleau

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…

高能物理 - 理论 · 物理学 2009-11-11 Richard Battye , Nicholas Manton , Paul Sutcliffe

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…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Wirzba

The relatively small binding energy in nuclei suggests that they may be well represented by near-BPS Skyrmions since their mass is roughly proportional to the baryon number $A.$ For that purpose, we propose a generalization of the Skyrme…

高能物理 - 唯象学 · 物理学 2015-06-05 Eric Bonenfant , Louis Harbour , Luc Marleau

We review an approach, developed over the past few years, to describe hadronic matter at finite density and temperature, whose underlying theoretical framework is the Skyrme model, an effective low energy theory rooted in large $N_c$ QCD.…

高能物理 - 唯象学 · 物理学 2016-12-21 Byung-Yoon Park , Vicente Vento

We apply two very different approaches to calculate Skyrmions with baryon number B less than 23. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann…

高能物理 - 理论 · 物理学 2009-11-07 Richard Battye , Paul Sutcliffe

Within the class of field theories with the field contents of the Skyrme model, one submodel can be found which consists of the square of the baryon current and a potential term only. For this submodel, a Bogomolny bound exists and the…

高能物理 - 理论 · 物理学 2010-11-09 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

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,…

高能物理 - 理论 · 物理学 2009-10-31 R. A. Battye , P. M. Sutcliffe

The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. In this paper we introduce a version of the baby Skyrme model in which the global O(3) symmetry is broken to…

高能物理 - 理论 · 物理学 2015-05-28 Juha Jäykkä , Martin Speight , Paul Sutcliffe

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…

高能物理 - 理论 · 物理学 2009-11-10 Steffen Krusch , Paul Sutcliffe

In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge $B$ of the solitons. Conventionally, Skyrmions are…

高能物理 - 理论 · 物理学 2015-01-12 Mareike Haberichter

The BPS Skyrme model is a specific subclass of Skyrme-type field theories which possesses both a BPS bound and infinitely many soliton solutions (skyrmions) saturating that bound, a property that makes the model a very convenient first…

高能物理 - 理论 · 物理学 2015-06-11 C. Adam , C. D. Fosco , J. M. Queiruga , J. Sanchez-Guillen , A. Wereszczynski

We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Noriko Shiiki , Nobuyuki Sawado

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…

高能物理 - 唯象学 · 物理学 2011-03-31 Duo-Jie Jia , Xiao-Wei Wang

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…

高能物理 - 唯象学 · 物理学 2017-08-23 Byung-Yoon Park , Hee-Jung Lee , Vicente Vento , Joon-Il Kim , Dong-Pil Min , Mannque Rho
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