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.

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

References in corpus (25)

• Generalized Global Defect Solutions
• A BPS Skyrme model and baryons at large Nc
• 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
• Light Nuclei as Quantized Skyrmions
• States of Carbon-12 in the Skyrme Model
• BPS Skyrmions as neutron stars
• Incarnations of Skyrmions
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Thermodynamics of the BPS Skyrme model
• Fractional Skyrmions and their molecules
• Scattering of Nucleons in the Classical Skyrme Model
• Classically isospinning Skyrmion solutions
• Near BPS Skyrmions and Restricted Harmonic Maps
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Nucleon-antinucleon Interaction from the Modified Skyrme Model
• Scattering of Skyrmions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Baby Skyrmions stabilized by vector mesons
• D-brane solitons in various dimensions
• Baby Skyrme models without a potential term
• A pure Skyrme instanton
• Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography

Cited by in corpus (32)

• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Loosening up the Skyrme model
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Generalized Skyrme model with the loosely bound potential
• Hairy black holes in the general Skyrme model
• Modifying the pion mass in the loosely bound Skyrme model
• A new consistent Neutron Star Equation of State from a Generalized Skyrme model
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• The volume of a soliton
• Skyrmions confined as beads on a vortex ring
• The Dielectric Skyrme model
• Skyrme crystals, nuclear matter and compact stars
• Quantum Skyrmion crystals and the symmetry energy of dense matter
• Generalized Skyrmions and hairy black holes in asymptotically AdS${}_4$ spacetime
• Quasi-universal relations for generalized Skyrme stars
• Near-BPS baby Skyrmions
• Crystal structures in generalized Skyrme model
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Incompressibility and Symmetry Energy of Neutron Star
• Gauged BPS baby Skyrmions with quantised magnetic flux
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Kaon condensation in skyrmion matter and compact stars
• Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
• Roper resonances and quasi-normal modes of Skyrmions
• Gravitating gauged BPS baby Skyrmions
• The volume of a vortex and the Bradlow bound
• Near-BPS baby Skyrmions with Gaussian tails
• A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
• Incompressible topological solitons
• Adding crust to BPS Skyrme neutron stars
• BPS Skyrme neutron stars in generalized gravity
• Systematic study for the surface properties of neutron star