1992/11/23 by A. Wirzba, Wirzba, A.
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.hep-ph/9211295
20 pages, LaTeX, TH Darmstadt: IKDA 92/37
arxiv created 1992/11/23 · openalex publication_date 1992/11/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. (Talk at the workshop on ``Baryons as Skyrme Solitons'', Siegen, Germany, Sept. 27-30, 1992)