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Related papers: Skyrmions from SU(3) harmonic maps and their quant…

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We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector, axial-vector, and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. D. Scadron , G. Rupp , E. van Beveren , F. Kleefeld

We review the spectrum of all baryons with the mass less than approximately 2000-2200 MeV using methods based on the approximate flavor SU(3) symmetry of the strong interaction. The application of the Gell-Mann--Okubo mass formulas and…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Guzey , M. V. Polyakov

Exploiting the SU(2) Skyrmion Lagrangian with second-class constraints associated with Lagrange multiplier and collective coordinates, we convert the second-class system into the first-class one in the Batalin-Fradkin-Tyutin embedding…

High Energy Physics - Theory · Physics 2007-05-23 Soon-Tae Hong

In this paper we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize the energy of…

High Energy Physics - Theory · Physics 2009-11-07 Richard Battye , Conor Houghton , Paul Sutcliffe

Static polarizabilities of the low--lying $1/2^+$ baryons are studied within the collective coordinate approach to the three flavor generalization of the Skyrme model; in particular, magnetic polarizabilities are considered. Predicted…

High Energy Physics - Phenomenology · Physics 2016-09-06 N. N. Scoccola , H. Weigel , B. Schwesinger

We present a comprehensive analysis of the SU(3) octet and decuplet baryon masses and $\sigma$-terms using high-precision lattice QCD data and chiral SU(3) effective theory with finite range regularization. The effects of various systematic…

Nuclear Theory · Physics 2023-06-01 P. M. Copeland , Chueng-Ryong Ji , W. Melnitchouk

Skyrmions with a realistic value of the pion mass parameter are expected to be quite compact structures, but beyond baryon number B=8 only a few examples are known. The largest of these is the cubically symmetric B=32 Skyrmion which is a…

High Energy Physics - Theory · Physics 2015-05-28 N. S. Manton

A self-consistent large $N_c$ approach is developed for the collective quantization of SU(3) flavor hedgehog solitons, such as the Skyrmion. The key to this analysis is the determination of all of the zero modes associated with small…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aleksey Cherman , Thomas D. Cohen , Timothy R. Dulaney , Erin M. Lynch

Recently, Hirayama and Yamashita have presented an ansatz that allows us to construct a class of solutions for the SU(2) Skyrme model. Though these solutions are not solitonic, they provide us with an example on how the plane wave solutions…

High Energy Physics - Theory · Physics 2009-11-10 Wang-Chang Su

We use the generalised rational map ansatz introduced by Ioannidou et al. to construct analytically some topologically non-trivial solutions of the generalised SU(3) Skyrme model defined by adding a sixth order term to the usual Lagrangian.…

High Energy Physics - Theory · Physics 2015-06-26 I. Floratos , B. M. A. G. Piette

Atiyah and Manton have outlined a scheme to obtain approximations to the SU(2) skyrmions from instantons in $\R^4$. In this paper we apply this scheme to construct, in an explicit form, approximations to static spherically symmetric SU(N)…

High Energy Physics - Theory · Physics 2009-10-31 Theodora Ioannidou

By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the quark-level linear…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael D. Scadron , George Rupp , Frieder Kleefeld , Eef van Beveren

The quantization condition derived previously for SU(2) solitons quantized with SU(3)-collective coordinates is generalized for SU(3) skyrmions with strangeness content different from zero. Quantization of the dipole-type configuration with…

High Energy Physics - Theory · Physics 2009-10-30 V. B. Kopeliovich

Skyrmions in the FQHE at filling fractions above \nu=1/3 are studied within the anyon model and by exact diagonalization. Relations to the composite fermion theory are pointed out. We find that unpolarized quasiparticles above \nu=1/3 are…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Jacek Dziarmaga , Meik Hellmund

Effective Lagrangian for pure Yang-Mills gauge fields invariant under the standard space-time and local gauge SU(3) transformations is considered. It is demonstrated that a set of twelve degenerated minima exists as soon as a nonzero gluon…

High Energy Physics - Phenomenology · Physics 2011-03-31 B. V. Galilo , S. N. Nedelko

The possible boundary value problems of the skyrmions are reexamined in the original Skyrme model with two new viewpoints. The first one suggests to replace the infinity boundary point by the finite radius R, which is related to the density…

High Energy Physics - Phenomenology · Physics 2013-09-09 Viet Ai Nguyen , Khanh Duy Nguyen

This paper is a PhD thesis defended at Institute of Theoretical Physics and Astronomy on 18 December, 1998. The following (abbreviated) statements represent the main results of the work: 1.Each of SU(2) representation j yields the different…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Acus , E. Norvaisas

We analyze the mechanism of condensation of orientational moduli (as introduced in [25]) on multi-Skyrmionic configurations of the four-dimensional Skyrme model. The present analysis reveals interesting novel features. First of all, the…

High Energy Physics - Theory · Physics 2016-08-24 Fabrizio Canfora , Gianni Tallarita

In the framework chiral SU(3) quark model, the baryon spectra within the band of $N\leq 2$ are studied, and the effect of the confining potential in different configurations, namely the $\Delta$-mode and Y-mode are compared. In the same…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hong-Ming Zhao , Peng-Nian Shen , Yi-Bing Ding , Xue-Qian Li , Bing-Song Zou