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.

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

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Cited by in corpus (24)

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• Skyrme models and nuclear matter equation of state
• Loosening up the Skyrme model
• Generalized Skyrme model with the loosely bound potential
• Modifying the pion mass in the loosely bound Skyrme model
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• The volume of a soliton
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Neutron stars within the Skyrme model
• Generalized skyrmion crystals with applications to neutron stars
• Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
• Roper resonances and quasi-normal modes of Skyrmions
• The volume of a vortex and the Bradlow bound
• Near-BPS baby Skyrmions with Gaussian tails
• Linked vortices as baryons in the miscible BEC-Skyrme model
• Adding crust to BPS Skyrme neutron stars
• Incompressible topological solitons
• Bogomolny equations for the BPS Skyrme models with impurity
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model