Generalized skyrmion crystals with applications to neutron stars

Abstract

In this article we study properties of isospin asymmetric nuclear matter in the generalized Skyrme model. This is achieved by canonically quantizing the isospin collective degrees of freedom of the recently found multi-wall skyrmion crystal. We obtain, for the first time, an equation of state from the Skyrme model which interpolates between infinite isospin asymmetric nuclear matter and finite isospin symmetric atomic nuclei. This enables us to describe neutron stars with crusts within the Skyrme framework. Furthermore, we observe that the symmetry energy tends to a constant value at zero density, which can be identified with the asymmetry coefficient in the semi-empirical mass formula for atomic nuclei. The symmetry energy also reveals a cusp in its structure below the nuclear saturation point $n_0$ at $n_{\ast }\sim 3n_0/4$. This cusp density point $n_{\ast }$ can be interpreted as the nuclear density whereby the infinite crystalline multi-wall configuration undergoes a phase transition to a finite isolated multi-wall configuration. Both of these observations are observed to be generic features of skyrmion crystals that tend asymptotically to somewhat isolated skyrmion configurations in the zero density limit. We find that the resulting neutron stars from our study agree quite well with recent NICER/LIGO observational data.

23 pages, 7 figures

References in corpus (56)

• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Physics of Neutron Star Crusts
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• A Skyrme-type proposal for baryonic matter
• Nuclear pasta structures and the charge screening effect
• Symmetry energy of dilute warm nuclear matter
• Skyrmions, instantons and holography
• Experimental determination of the symmetry energy of a low density nuclear gas
• 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 in a truncated BPS theory
• Skyrmions and the pion mass
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Light Nuclei as Quantized Skyrmions
• A dynamical $\alpha$-cluster model of ${}^{16}$O
• Skyrmions and clustering in light nuclei
• States of Carbon-12 in the Skyrme Model
• Skyrmions up to Baryon Number 108
• Attractive Channel Skyrmions and the Deuteron
• BPS Skyrmions as neutron stars
• Vibrational quantisation of the B=7 Skyrmion
• Homotopy of Rational Maps and the Quantization of Skyrmions
• Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions at finite density
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Thermodynamics of the BPS Skyrme model
• A point particle model of lightly bound skyrmions
• Generalized Skyrme model with the loosely bound potential
• Normal Mode Spectrum of the Deuteron in the Skyrme Model
• Cusp in the Symmetry Energy, Speed of Sound in Neutron Stars and Emergent Pseudo-Conformal Symmetry
• Skyrmions in models with pions and rho mesons
• Kaons in Dense Half-Skyrmion Matter
• A new consistent Neutron Star Equation of State from a Generalized Skyrme model
• Mass splittings of nuclear isotopes in chiral soliton approach
• The Inhomogeneous Phase of Dense Skyrmion Matter
• Scaling Identities for Solitons beyond Derrick's Theorem
• Proton fraction in the inner neutron-star crust
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Oxygen-16 Spectrum from Tetrahedral Vibrations and their Rotational Excitations
• Realistic classical binding energies in the $\omega$-Skyrme model
• Skyrme crystals, nuclear matter and compact stars
• An attractive spin-orbit potential from the Skyrme model
• Quantum Skyrmion crystals and the symmetry energy of dense matter
• Solitons on tori and soliton crystals
• Holonomy and Skyrme's model
• Quantisation of Global Isospin in the Skyrme Crystal
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Skyrmion Multi-Walls
• Kaon condensation in skyrmion matter and compact stars
• Effect of Coulomb energy on Skyrmions
• Skyrme crystals with massive pions
• Nucleon-nucleon potential from skyrmion dipole interactions
• Generalized Skyrme Crystals

Cited by in corpus (5)

• Skyrmion crystals stabilized by $\omega$-mesons
• Isospin asymmetry and neutron stars in V-QCD
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• Baby skyrmion crystals stabilized by vector mesons
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model