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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

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…

High Energy Physics - Theory · Physics 2010-11-09 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

The BPS Skyrme model is a model containing an $SU(2)$-valued scalar field, in which a Bogomol'nyi-type inequality can be satisfied by soliton solutions. In this model, the energy density of static configurations is the sum of the square of…

High Energy Physics - Theory · Physics 2016-07-26 Árpád Lukács

We study a generalization of the Skyrme model with the inclusion of a sixth-order term and a generalized mass term. We first analyze the model in a regime where the nonlinear sigma and Skyrme terms are switched to zero which leads to…

High Energy Physics - Phenomenology · Physics 2014-11-21 Eric Bonenfant , Luc Marleau

We present a concrete model of a low energy effective field theory of QCD, the well-known Skyrme Model. Specifically, we will work with the BPS submodel in order to describe the binding energies of nuclei. This BPS Skyrme model is…

High Energy Physics - Theory · Physics 2014-12-05 C. Adam , C. Naya , J. Sanchez-Guillen , J. M. Speight , R. Vazquez , A. Wereszczynski

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…

High Energy Physics - Phenomenology · Physics 2015-06-16 Marc-Olivier Beaudoin , Luc Marleau

One problem in the application of the Skyrme model to nuclear physics is that it predicts too large a value for the compression modulus of nuclear matter. Here we investigate the thermodynamics of the BPS Skyrme model at zero temperature…

High Energy Physics - Theory · Physics 2014-08-06 C. Adam , C. Naya , J. Sanchez-Guillen , J. M. Speight , A. Wereszczynski

We compute the gravitational form factor $D(t)$ of various nuclei in the generalized Skyrme model where nuclei are described as solitonic field configurations each with a definite baryon number $B$. We separately discuss the cases $B=1$…

Nuclear Theory · Physics 2023-07-26 Alberto García Martín-Caro , Yoshitaka Hatta , Miguel Huidobro

The Skyrme model and its generalisations provide a conceptually appealing field-theory basis for the description of nuclear matter and, after its coupling to gravity, also of neutron stars. In particular, a specific Skyrme submodel, the…

High Energy Physics - Theory · Physics 2020-08-20 C. Adam , J. Sanchez-Guillen , R. Vazquez , A. Wereszczynski

In this review, we summarise the main features of the BPS Skyrme model which provides a physically well-motivated idealisation of atomic nuclei and nuclear matter: 1) it leads to zero binding energies for classical solitons (while realistic…

High Energy Physics - Theory · Physics 2015-11-18 C. Adam , C. Naya , J. Sanchez-Guillen , R. Vazquez , A. Wereszczynski

We investigate the possible modifications of the nucleons' electromagnetic form factors in the framework of a modified Skyrme model allowing for nucleon deformation and using realistic nuclear mass distributions. We show that such effects…

Nuclear Theory · Physics 2007-05-23 Ulughbek T. Yakhshiev , Ulf-G. Meißner , Andreas Wirzba

The explicit expressions for the electric, magnetic, axial and induced pseudoscalar form factors of the nucleons are derived in the {\it ab initio} quantized Skyrme model. The canonical quantization procedure ensures the existence of stable…

Nuclear Theory · Physics 2009-11-06 A. Acus , E. Norvaišas , D. O. Riska

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

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…

High Energy Physics - Theory · Physics 2015-06-11 C. Adam , C. D. Fosco , J. M. Queiruga , J. Sanchez-Guillen , A. Wereszczynski

We review the SU(2) Skyrme model and describe its topological soliton solutions, which are called Skyrmions. Skyrmions provide a model of nuclei in which the conserved topological charge is identified with the baryon number of a nucleus.…

High Energy Physics - Theory · Physics 2008-09-23 Nicholas S. Manton , Stephen W. Wood

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…

High Energy Physics - Phenomenology · Physics 2015-06-05 Eric Bonenfant , Louis Harbour , Luc Marleau

The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an…

High Energy Physics - Theory · Physics 2015-06-19 C. Adam , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

We use the classical BPS soliton solutions of the BPS Skyrme model together with corrections from the collective coordinate quantization of spin and isospin, the electrostatic Coulomb energies, and a small explicit breaking of the isospin…

Nuclear Theory · Physics 2013-12-12 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

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…

High Energy Physics - Theory · Physics 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We consider a restricted baby Skyrme-Maxwell scenario enlarged via the inclusion of a nontrivial magnetic permeability. We then proceed with the minimization of its total energy by means of the Bogomol'nyi-Prasad-Sommerfield (BPS)…

High Energy Physics - Theory · Physics 2022-11-18 J. Andrade , R. Casana , E. da Hora , André C. Santos
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