Abstract
At very high densities, as for example in the core of a neutron star, matter may appear in the color-flavor locked (CFL) phase, which is a superfluid. This phase features topologically stable vortex solutions, which arise in a spinning superfluid as localized configurations carrying quanta of angular momentum. Despite the topological stability of these vortices they are not the lowest energy state of the system at neutron star densities and decay into triplets of semi-superfluid fluxtubes. In these proceedings we report on the progress of our numerical study in the Ginzburg-Landau approach, where we investigate lattices of semi-superfluid fluxtubes. The fluxtubes are obtained through controlled decay of global vortex configurations in the presence of a gauge field. Understanding the dynamics of semi-superfluid string configurations is important in the context of angular momentum transfer from a quark matter core of a neutron star beyond the core boundary, since not vortex-, but fluxtube pinning seems to be the relevant mechanism in this scenario.
Highlights
At very high densities, as for example in the core of a neutron star, matter may appear in the color-flavor locked (CFL) phase, which is a superfluid
In these proceedings we report the status of our extensive numerical computations that can simulate the dynamics of rotational vortices in a CFL quark matter superfluid [5, 8]
We are interested in studying pinning phenomena in the context of a superfluid quark matter core of a neutron star, which, if existent, provides a possible explanation for neutron star glitches and a relation between interior properties of a star with observable quantities
Summary
Briefly summarize the central equations for this study. We use an effective theory (Ginzburg-Landau), mu = md = ms = 0, and the Lagrangian reads. Since three semi-superfluid fluxtubes are needed to sustain the overall winding number of one, the energy density of the triplet of semi-superfluid fluxtubes is lower by a factor of three as compared to the energy density away from the core of the global vortex. The more space is covered by the core region of the semi-superfluid triplet, the lower the energy of the system This is shown in the third panel 2(c). In order to make the area of low energy density as large as possible, semi-superfluid fluxtubes repel
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