Quantum skyrmion crystals and the symmetry energy of dense matter

Adam, C.; Martín-Caro, Alberto García; Huidobro, Miguel; Vázquez, R. A.; Wereszczyński, A.

doi:10.1103/physrevd.106.114031

Cited by 12 publications

(7 citation statements)

References 50 publications

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“…Here, we show how to compute the symmetry energy and particle (proton, neutron and lepton) fractions within the Skyrme theory. This part reviews the material recently published in [48]. Next, in Section 4, we take into account the strangeness degrees of freedom by extending the Skyrme field to a SU(3)-valued matrix field.…”

Section: Skyrme Mattermentioning

confidence: 99%

“…where the contribution from each term in the Lagrangian, denoted by Λ (n) , can be found in [48]. This fact enormously simplifies the kinetic term in the Lagrangian of an isospinning cubic crystal with a number N cells ≡ N of unit cells, which is reduced to…”

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

“…Following [48], since the total third component of isospin is a good quantum number for the total quantum state of the crystal, we perform a mean field approximation and consider that the isospin density in an arbitrary Skyrmion crystal quantum state is approximately uniform so that…”

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

“…The corresponding DU threshold is also shown in black. This figure was originally published in [48].…”

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

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Skyrme Crystals, Nuclear Matter and Compact Stars

et al. 2023

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A general review of the crystalline solutions of the generalized Skyrmemodel and their application to the study of cold nuclear matter at finite density and the Equation of State (EOS) of neutron stars is presented. For the relevant range of densities, the ground state of the Skyrmemodel on the three torus is shown to correspond to configurations with different symmetries, with a sequence of phase transitions between such configurations. The effects of nonzero finite isospin asymmetry are taken into account by the canonical quantization of isospin collective coordinates, and some thermodynamical and nuclear observables (such as the symmetry energy) are computed as a function of the density. We also explore the extension of the model to accommodate strange degrees of freedom, and find a first-order transition for the condensation of kaons in the Skyrme crystal background in a thermodynamically consistent, non-perturbative way. Finally, an approximate EOS of dense matter is constructed by fitting the free parameters of the model to some nuclear observables close to saturation density, which are particularly relevant for the description of nuclear matter. The resulting neutron star mass–radius curves already reasonably satisfy current astrophysical constraints.

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Section: Skyrme Mattermentioning

confidence: 99%

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

“…The corresponding DU threshold is also shown in black. This figure was originally published in [48].…”

Section: Isospin Quantization and Symmetry Energymentioning

confidence: 99%

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Skyrme Crystals, Nuclear Matter and Compact Stars

et al. 2023

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“…In this paper, we propose using the homogeneous Ansatz in the WSS, but quantizing the isospin symmetry -a technique known from the Skyrme model [46][47][48], which is the leadingorder low-energy effective theory of the WSS model [18]. The homogeneous Ansatz represents an approximation to describe densely packed nucleons that form nuclear matter above saturation density.…”

Section: Introductionmentioning

confidence: 99%

Symmetry energy in holographic QCD

Bartolini,

Gudnason

2024

SciPost Phys.

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We study the symmetry energy (SE), an important quantity in nuclear physics, in the Witten-Sakai-Sugimoto model and in a much simpler hard-wall model of holographic QCD. The SE is the energy contribution to the nucleus due to having an unequal number of neutrons and protons. Using a homogeneous Ansatz representing smeared instantons and quantizing their isospin, we extract the SE and the proton fraction assuming charge neutrality and beta-equilibrium, using quantization of the isospin zeromode. We also show the equivalence between our method adapted from solitons and the usual way of the isospin controlled by a chemical potential at the holographic boundary. We find that the SE can be well described in the WSS model if we allow for a larger ’t Hooft coupling and lower Kaluza-Klein scale than is normally used in phenomenological fits.

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Quantum binding energies in the Skyrme model

Gudnason,

Halcrow

2024

Physics Letters B

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Quantum skyrmion crystals and the symmetry energy of dense matter

Cited by 12 publications

References 50 publications

Skyrme Crystals, Nuclear Matter and Compact Stars

Skyrme Crystals, Nuclear Matter and Compact Stars

Symmetry energy in holographic QCD

Quantum binding energies in the Skyrme model

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