Thermodynamics of the BPS Skyrme model

Abstract

One problem in the application of the Skyrme model to nuclear physics is that it predicts too large a value for the compression modulus of nuclear matter. Here we investigate the thermodynamics of the BPS Skyrme model at zero temperature and calculate its equation of state. Among other results, we find that classically (i.e. without taking into account quantum corrections) the compressibility of BPS skyrmions is, in fact, infinite, corresponding to a zero compression modulus. This suggests that the inclusion of the BPS submodel into the Skyrme model lagrangian may significantly reduce this too large value, providing further evidence for the claim that the BPS Skyrme model may play an important role in the description of nuclei and nuclear matter.

Latex, 26 pages, 1 figure; v2: some typos corrected, version accepted for publication in Phys. Rev. D

References in corpus (6)

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• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
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• Generalized Skyrme model with the loosely bound potential
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Neutron stars within the Skyrme model
• Generalized skyrmion crystals with applications to neutron stars
• Linked vortices as baryons in the miscible BEC-Skyrme model
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model