A new consistent neutron star equation of state from a generalized Skyrme model

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

doi:10.1016/j.physletb.2020.135928

Cited by 30 publications

(45 citation statements)

References 50 publications

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“…Indeed, it makes Skyrmionic matter much stiffer at extreme conditions, which results in physically acceptable values of the maximal masses of neutron stars. This has been first found in the case where the EoS was motivated by certain limits of the Skyrme model [19]. Later on, it has been confirmed in the full Skyrme model computation [20].…”

Section: Introductionmentioning

confidence: 54%

Quantum Skyrmion crystals and the symmetry energy of dense matter

Adam¹,

Martín-Caro²,

Huidobro³

et al. 2022

Preprint

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The canonical quantization method for collective coordinates in crystalline configurations of the generalized Skyrme model is applied in order to find the quantum ground state of Skyrmion crystals and study the quantum corrections to the binding energy resulting from the isospin degrees of freedom. This leads to a consistent description of asymmetric nuclear matter within the Skyrme framework and allows us to compute the symmetry energy of the Skyrmionic crystal as a function of the baryon density, and to compare with recent observational constraints. CONTENTS I. Introduction 1 II. Generalized Skyrme model and classical crystals 2 A. The model 2 B. The classical crystal of Skyrmions 3 C. The Skyrme crystal EoS for symmetric nuclear matter 3 III. Quantization of the Skyrme crystal 4 A. The internal symmetry of Skyrme crystals and the isospin group 4 B. Quantum isospin states and Hilbert space 5 C. Isospin correction to the energy per baryon 7 IV. Quantum skyrmion crystals and the symmetry energy of npe(µ) matter 9 A. The electric charge density of pure Skyrmion matter 9 B. The symmetry energy 10 C. Particle fractions of npeµ matter in β-equilibrium 11 V. Conclusions 12 Acknowledgments 13 A. Calculation of matrix elements 13 B. Isospin inertia tensor of Skyrme crystals 14 References 15

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Section: Introductionmentioning

confidence: 54%

Quantum Skyrmion crystals and the symmetry energy of dense matter

Adam¹,

Martín-Caro²,

Huidobro³

et al. 2022

Preprint

Self Cite

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show abstract

“…To simplify this, we introduce the coordinate h = arctan(h) and discretise the interval [−π/2, π/2] evenly. This generates Ã at each point which is then used to calculate the Skyrme and meson fields using (5).…”

Section: Methodsmentioning

confidence: 99%

“…Skyrmions have been used with some success to describe light stable nuclei [2], the nucleon-nucleon interaction [3,4] and neutron stars [5]. To describe nuclei, one usually starts with a space of classical Skyrme configurations and then applies a quantisation method.…”

Section: Introductionmentioning

confidence: 99%

A consistent two-skyrmion configuration space from instantons

Halcrow,

Winyard

2021

Preprint

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To study a nuclear system in the Skyrme model one must first construct a space of low energy Skyrme configurations. However, there is no mathematical definition of this configuration space and there is not even consensus on its fundamental properties, such as its dimension. Here, we propose that the full instanton moduli space can be used to construct a consistent skyrmion configuration space, provided that the Skyrme model is coupled to a meson. Each instanton generates a unique skyrmion and we reinterpret the 8N instanton moduli as physical degrees of freedom in the Skyrme model. In this picture a single skyrmion has six zero modes and two non-zero modes: one controls the overall scale of the solution and one the relative size of the Skyrme and meson fields. We study the N = 1 and N = 2 systems in detail. Two interacting skyrmions can excite the meson field through scattering, suggesting that the meson and Skyrme fields are intrinsically linked. Our proposal is the first consistent manifold description of the two-skyrmion configuration space. The method can also be generalised to higher N and thus provides a general framework to study any skyrmion configuration space.

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“…More recently, the observation of gravitational waves from the merger of a black hole with a compact object of mass 2.6 M [24] has raised speculations on the possibility of neutron stars with masses above 2.5 M , which would pose an even greater challenge to current knowledge on the EoS of cold and dense matter [25][26][27][28][29][30][31][32][33][34][35][36][37]. Regardless of whether such speculations prove right or not, the fact is that accumulating observations will inevitably pose increasingly tight constraints on the structure of neutron stars, and guidance is needed for accommodating these into our knowledge of the dense matter equation of state.…”

Section: Introductionmentioning

confidence: 99%

Insights on the peak in the speed of sound of ultradense matter

Hippert,

Fraga,

Noronha

2021

Preprint

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A new consistent neutron star equation of state from a generalized Skyrme model

Cited by 30 publications

References 50 publications

Quantum Skyrmion crystals and the symmetry energy of dense matter

Quantum Skyrmion crystals and the symmetry energy of dense matter

A consistent two-skyrmion configuration space from instantons

Insights on the peak in the speed of sound of ultradense matter

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