Skyrme liquid versus Skyrme solid

Based on generic sum rules for two-dimensional, isotropic electron quantum liquids in the lowest Landau level, we propose analytic pair distribution functions for spin-polarized and spin-unpolarized liquid phases at filling factors . From the pair distribution functions we calculate the energy of such liquid phases and compare with the energy of the solid phase. The comparison suggests that the quantum melting phase transition to the Skyrme solid may lie much closer to ν=1 than ever expected.     

Generalized Skyrme crystals

This Letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the Skyrme–Faddeev case (maximal squashing). In the round case, the lowest-energy crystal is the well-known cubic lattice of half-skyrmions; but in the squashed case the minimal-energy crystal structures turn out to be different. We describe some of the solutions that arise, including arrays of vortices and multi-sheeted structures.     

A PLZT ceramic T.I.R. diffraction modulator

A total internal reflection modulator is described using a prism of PLZT ceramic exhibiting the quadratic electro-optic effect and giving zero-order extinction at around 100 volts (0.67 kV mm^-1).     

Topological Excitation in Skyrme Theory

Based on the C-mapping topological current theory and the decomposition of gauge potential theory, we investigate knotted vortex lines and monopoles in Skyrme theory and simply discuss the branch processes （splitting, merging, and intersection） during the evolution of the monopoles.     

Skyrme solitons with vector mesons

We investigate the Skyrme type soliton with vector mesons (ρ, A₁ and ω), first in the massive Yang-Mills approach and then using the hidden local symmetry Lagrangian. It is demonstrated that the two schemes give identical results for the soliton properties. A comparison is made with alternative approaches in which the A₁ degrees of freedom is eliminated.     

The phonon-coupling model for Skyrme forces

A short review on the self-consistent RPA based on the energy-density functional of the Skyrme type is given. We also present an extension of the RPA where the coupling of phonons to the single-particle states is considered. Within this approach we present numerical results which are compared with data. The self-consistent approach is compared with the Landau–Migdal theory. Here we derive from the self-consistent ph interaction, the Landau–Migdal parameters as well as their density dependence. In the Appendix a new derivation of the reduced matrix elements of the ph interaction is presented.     

Asymmetric nuclear matter and Skyrme potential

The binding energy, symmetry energy, pressure, incompressibility, and the velocity of sound are calculated for asymmetric nuclear matter using Skyrme interaction SkO’. The behavior of these physical quantities is studied for different values of the asymmetry parameter α _τ , the density ρ, and the temperature T. Good agreement is obtained in comparison with previous theoretical estimates and experimental data. The text was submitted by the authors in English.     

Canonical quantization of the Skyrme model

The canonical quantization of the Skyrme model is presented. Due to the complexities of the original set-up, first postulated by Rajeev, a new set of fields is found which satisfy a Lie algebra and for this reason, simplifies the study of the system. Using the new fields, the properties of the states under rotations are examined. As a result we re-derive the quantization of the coefficient of the Wess-Zumino action as an a priori consistency condition. We also find under what circumstances states with non-vanishing winding number behave like fermions.     

SU(2) Skyrme vortices

A regular method for constructing vortexlike solutions with cylindrical symmetry to the equations of the SU(2) Skyrme chiral model is proposed. A numerical estimate for the length density of mass is given.     

The Skyrme model with pion masses

We study the SU(2) × SU(2) Skyrme model with an explicit chiral breaking term. The new quantities that we evaluate are the pion-nucleon sigma term and the isovector charge radii, whose values come out in reasonable agreement with experiment. The other static properties of nucleons differ by a few percent from the corresponding values in the chiral limit.     

Low-lying states and separabelized Skyrme interactions

A finite-rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one-and two-phonon terms in the wave functions of excited states. It is shown that the phonon-phonon coupling effect can be very important to reproduce experimental data.     

The Skyrme Model on Riemannian manifolds

The Skyrme Model on Riemannian manifolds is analysed. Under certain assumptions it is shown that the identity map is essentially the only absolute minimizer proving a conjecture stated by Manton and Ruback. In some other circumstances, it is shown that the identity map is a stable local minimum.