SU(N) multi-Skyrmions at finite volume

Skyrmions in the quantum Hall effect at finite Zeeman coupling.

Multi-Skyrmions with Vector Mesons

It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multiSkyrmions in such a theory. The rational map ansatz is used to investigate multiSkyrmions in a theory which includes the ω vector meson and has no Skyrme term. Bound states with baryon numbers two, three and four are found, which ha...

Finite Volume Methods for Multi-Symplectic PDEs

We investigate the application of a cell vertex nite volume discretization to multi-symplectic PDEs. The investigated discretization reduces to the Preissmann box scheme when used on a rectangular grid. Concerning arbitrary quadrilateral grids, we show that only methods with parallelogram-like nite volume cells lead to a multi-symplectic discretization, i.e., to a method that preserves a discre...

Numerical Investigation on Compressible Flow Characteristics in Axial Compressors Using a Multi Block Finite Volume Scheme

An unsteady two-dimensional numerical investigation was performed on the viscous flow passing through a multi-blade cascade. A Cartesian finite-volume approach was employed and it was linked to Van-Leer's and Roe's flux splitting schemes to evaluate inviscid flux terms. To prevent the oscillatory behavior of numerical results and to increase the accuracy, Monotonic Upstream Scheme for Conservat...

Zero mode quantization of multi-Skyrmions

A zero mode quantization of the minimal energy SU(2) Skyrmions for baryon numbers four to nine and seventeen is described. This involves quantizing the rotational and isorotational modes of the configurations. For baryon numbers four, six and eight the ground states obtained are in agreement with the observed nuclear states of Helium, Lithium and Beryllium. However, for baryon numbers five, sev...