Dense matter equation of state and phase transitions from a generalized Skyrme model

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

doi:10.1103/physrevd.105.074019

Cited by 8 publications

(6 citation statements)

References 54 publications

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“…As in previous work [44,45], we conclude that the FCC + crystal reaches the lowest energy in the standard Skyrme model between the crystals considered here. In that case, the minimum is only a 3.7% above the BPS bound, which also places the Skyrme crystal as the Skyrmion solution with the lowest energy ever achieved in the standard Skyrme model.…”

Section: Energy Curvessupporting

confidence: 89%

“…However, from the results of our numerical simulations we have observed that the FCC + crystal displays an almost perfect scaling property [45] with the unit cell length. This property is stronger than the fact that each E(L) curve may be fitted by Equation (21); it means that each of the terms in the energy functional scales with L independently as E i ∝ L −i+3 , where i is again the number of spatial derivatives appearing in that particular term.…”

Section: Scan Of the Parametersmentioning

confidence: 73%

“…Some simplifying assumptions, therefore, must be made for a description of nuclear matter within the Skyrme model. The simplest and most widely used assumption is that Skyrmionic matter forms a cubic lattice [38][39][40][41][42][43][44][45]. That is to say, there exists a cubic unit cell with a baryon content B cell and side length l cell (i.e., volume V cell = l 3 cell ), such that the Skyrme field is periodic in all three Cartesian directions under the translation x i → x i + l cell .…”

Section: Skyrme Mattermentioning

confidence: 99%

“…We also present evidence for a high density crystal-fluid transition and a low density transition from a crystal to a non-homogeneous phase. This section is partly based on our previous work [45], but most of the results have been newly computed. Section 3 is devoted to the semiclassical quantization of the Skyrme crystals, which allows to pass from symmetric to asymmetric nuclear matter.…”

Section: Skyrme Mattermentioning

confidence: 99%

“…The Maxwell construction (MC) is the standard procedure to obtain a physical EOS when a first-order transition is present. Indeed, the MC has already been used for Skyrme crystals to describe the transition between crystals with different symmetries [45]. The MC is based on a mixed phase of constant pressure which connects the two solutions.…”

Section: Including Kaonsmentioning

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: Energy Curvessupporting

confidence: 89%

Section: Scan Of the Parametersmentioning

confidence: 73%

Section: Skyrme Mattermentioning

confidence: 99%

Section: Skyrme Mattermentioning

confidence: 99%

Section: Including Kaonsmentioning

confidence: 99%

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Skyrme Crystals, Nuclear Matter and Compact Stars

et al. 2023

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Exact modulated hadronic tubes and layers at finite volume in a cloud of π and ω mesons

Barriga,

Torres,

Vera

2024

Nuclear Physics B

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Skyrme crystals with massive pions

Harland,

Leask,

Speight

2023

Journal of Mathematical Physics

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The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both the field and the period lattice of the crystal. Four distinct Skyrme crystals are found. Two of these were already known–the cubic lattice of half-skyrmions and the α-particle crystal–but two are new. These new solutions have lower energy per baryon number and less symmetry, being periodic with respect to trigonal but not cubic period lattices. Minimal energy crystals are also constructed under the constraint of constant baryon density, and it is shown that the two new non-cubic crystals tend to chain and multi-wall solutions at low densities.

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Dense matter equation of state and phase transitions from a generalized Skyrme model

Cited by 8 publications

References 54 publications

Skyrme Crystals, Nuclear Matter and Compact Stars

Skyrme Crystals, Nuclear Matter and Compact Stars

Exact modulated hadronic tubes and layers at finite volume in a cloud of π and ω mesons

Skyrme crystals with massive pions

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