Skyrme models and nuclear matter equation of state

Abstract

We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high and medium pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model.

arXiv comment29 pages, 8 figures; updated to match published version in Phys. Rev. C

References in corpus (48)

• Recent Progress in Quantum Hadrodynamics
• Rational Maps, Monopoles and Skyrmions
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• A Skyrme-type proposal for baryonic matter
• Generalized Global Defect Solutions
• A BPS Skyrme model and baryons at large Nc
• First-order framework and generalized global defect solutions
• Dense matter in compact stars - A pedagogical introduction
• Skyrmions with low binding energies
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• Skyrmions and the pion mass
• Light Nuclei as Quantized Skyrmions
• Spinning Skyrmions and the Skyrme Parameters
• States of Carbon-12 in the Skyrme Model
• Skyrmions up to Baryon Number 108
• Topological energy bounds for the Skyrme and Faddeev models with massive pions
• BPS Skyrmions as neutron stars
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Incarnations of Skyrmions
• Nuclei as near BPS-Skyrmions
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Nuclear binding energies from a BPS Skyrme model
• Near-BPS Skyrmions: Non-shell configurations and Coulomb effects
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a $\pi$-$\rho$-$\omega$ soliton model
• Topological energy bounds in generalized Skyrme models
• Thermodynamics of the BPS Skyrme model
• Fractional Skyrmions and their molecules
• Classically isospinning Skyrmion solutions
• Scattering of Nucleons in the Classical Skyrme Model
• Near-BPS Skyrmions: Constant baryon density
• Baryonic sphere: a spherical domain wall carrying baryon number
• Near BPS Skyrmions and Restricted Harmonic Maps
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• A zero-mode quantization of the Skyrmion
• Scattering of Skyrmions
• Nucleon-antinucleon Interaction from the Modified Skyrme Model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Baby Skyrmions stabilized by vector mesons
• A Skyrmion Fluid
• Solitons on tori and soliton crystals
• D-brane solitons in various dimensions
• Skyrmion Stars: Astrophysical motivations and implications
• Baby Skyrme models without a potential term
• A pure Skyrme instanton
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
• Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography

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