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We study fermionic topological phases using the technique of fermion condensation. We give a prescription for performing fermion condensation in bosonic topological phases which contain a fermion. Our approach to fermion condensation can…

Strongly Correlated Electrons · Physics 2021-01-06 David Aasen , Ethan Lake , Kevin Walker

We demonstrate that the three-dimensional Skyrmion, which has remained elusive so far, spontaneously appears as the ground state of $SU$(2) symmetric Bose-Einstein condensates coupled with a non-Abelian gauge field. The gauge field is a…

Quantum Gases · Physics 2012-07-13 Takuto Kawakami , Takeshi Mizushima , Muneto Nitta , Kazushige Machida

We investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model $\mathcal{L}_6 + \mathcal{L}_4 + \mathcal{L}_2+ \mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different symmetry…

High Energy Physics - Theory · Physics 2017-08-23 Ilya Perapechka , Yakov Shnir

We show that spinor Bose-Einstein condensates not only have line-like vortex excitations, but in general also allow for point-like topological excitations, i.e., skyrmions. We discuss the static and dynamic properties of these skyrmions for…

Statistical Mechanics · Physics 2007-05-23 H. T. C. Stoof

The dense baryonic matter and hadron properties in medium were simulated by using a Skyrme model including the ground state vector mesons introduced from the hidden local symmetry approach up to the next to leading order. We found that both…

High Energy Physics - Phenomenology · Physics 2014-01-31 Yong-Liang Ma

This is a review of recent developments regarding the Skyrmion sector of higher representation QCD. Ordinary QCD is a SU(n) gauge theory with n_f Dirac quarks in the fundamental representation. Changing the representation of quarks leads to…

High Energy Physics - Theory · Physics 2009-03-21 Stefano Bolognesi

We study the composite Skyrme model, proposed by Cheung and G\"{u}rsey, introducing vector mesons in a chiral Lagrangian. We calculate the static properties of baryons and compare with results obtained from models without vector mesons.

High Energy Physics - Theory · Physics 2009-10-30 Kwanghoon Hahm , KyoungHo Han , H. J. Shin

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 construct the chiral perturbation theory for two-color QCD with two quark flavors as an effective theory on the SO(6)/SO(5) coset space. This formulation turns out to be particularly useful for extracting the physical content of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Tomas Brauner

We present a consistent way of describing heavy baryons containing a heavy quark as bound states of an $SU(2)$ soliton and heavy mesons. The resulting mass formula reveals the heavy quark symmetry explicitly. By extending the model to the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Yongseok Oh , Byung-Yoon Park , Dong-Pil Min

We study the baryonic sector of QCD with quarks in the two index symmetric or antisymmetric representation. The minimal gauge invariant state that carries baryon number cannot be identified with the Skyrmion of the low energy chiral…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Bolognesi

We propose a new DBI extension of a Skyrme type model which allows for BPS topological solitons with arbitrary value of the baryon charge. The model is built out of the baryon density squared and in the limit of small fields tends to the…

Mathematical Physics · Physics 2014-05-08 Łukasz Bednarski

Though commonly unrecognized, a superconducting BCS condensate consists of equal numbers of two-electron (2e) and two-hole (2h) Cooper pairs (CPs). A complete (in the sense that 2h-CPs are not ignored) boson-fermion statistical model,…

Superconductivity · Physics 2007-05-23 M. de Llano

In the lightly bound Skyrme model, several Skyrmions having particularly strong binding are clusters of unit baryon number Skyrmions arranged as truncated tetrahedra. Their baryon numbers form the sequence B = 4, 16, 40, 80, 140, 224. This…

High Energy Physics - Theory · Physics 2017-08-01 Nicholas S. Manton

The semiclassical SU(3) Skyrme model is traditionally considered as describing a rigid quantum rotator with the profile function being fixed by the classical solution of the corresponding SU(2) Skyrme model. In contrast, we go beyond the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Darius Jurciukonis , Egidijus Norvaisas , Vidas Regelskis

The onset of pattern formation in a spatially homogeneous system subjected to external driving is an important topic in various scientific fields. A celebrated classical example is the Faraday instability, where a vertically oscillated…

Our aim in the present work is to identify all the possible standing wave configurations involving few vortices of different charges in an atomic Bose-Einstein condensate (BEC). In this effort, we deploy the use of a computational algebra…

Pattern Formation and Solitons · Physics 2018-10-30 Emilie Dufresne , Heather A Harrington , Panayotis G Kevrekidis , Paolo Tripoli

In this paper we investigate an SU(3) extension of the chiral quark-meson model. The spectra of baryons with strangeness, charm and bottom are considered within a "rigid oscillator" version of this model. The similarity between the quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. B. Kopeliovich , M. S. Sriram

We show that one can reduce the coupled system of seven field equations of the (3+1)-dimensional gauged Skyrme model to the Heun equation (which, for suitable choices of the parameters, can be further reduced to the Whittaker-Hill equation)…

High Energy Physics - Theory · Physics 2018-10-10 Fabrizio Canfora , Marcela Lagos , Seung Hun Oh , Julio Oliva , Aldo Vera

We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy
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