Analytic SU(N) Skyrmions at finite Baryon density

Abstract

We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We used Euler angles decomposition for arbitrary N and the generalized hedgehog Ansatz at finite Baryon density. The Skyrmions of high topological charge that we find represent smooth Baryonic layers whose properties can be computed explicitly. In particular, we determine the energy to Baryon charge ratio for any N showing the smoothness of the large N limit. The closeness to the BPS bound of these configurations can also be analyzed. The energy density profiles of these finite density Skyrmions have \textit{lasagna-like} shape in agreement with recent experimental findings. The shear modulus can be precisely estimated as well and our analytical result is close to recent numerical studies in the literature.

36 pages, REVTeX, accepted for publication in Phys. Rev. D, added some references

References in corpus (9)

• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Baryons and the phase diagram for a large number of colors and flavors
• Skyrmions, instantons and holography
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Chirally symmetric but confining dense and cold matter
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions

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