Nuclear Matter Aspects of Skyrmions
نویسندگان
چکیده
As an alternative approach to the infinite-array description of dense matter in the Skyrme model, we report about the properties of a single skyrmion on a compact 3-sphere of finite radius. The density of this matter can be increased by decreasing the hypersphere radius. As in the array calculations one encounters a transition to a distinct high density phase characterized by a delocalization in energy and baryon charge and by increased symmetries. We will argue that the high density phase has to be interpreted as chirally restored one. The arguments are based on the formation of complete chiral multiplets and the vanishing of the pionic massless Goldstone modes in the high-density fluctuation spectrum. We show that the restoration of chiral symmetry is common to any chirally invariant extension of the usual Skyrme model whether via higher-order contact terms or via the introduction of stabilizing vector mesons which act over a finite range.
منابع مشابه
Statistics of skyrmions in quantum Hall systems.
We analyze statistical interactions of skyrmions in the quantum Hall system near a critical filling fraction in the framework of the Ginzburg-Landau model. The phase picked up by the wave-function during an exchange of two skyrmions close to ν = 1/(2n + 1) is π[S + 1/2(2n + 1)], where S is the skyrmion’s spin. In the same setting an exchange of two fully polarized vortices gives rise to the pha...
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