Quasiuniversal relations for generalized Skyrme stars

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

doi:10.1103/physrevd.103.023022

Cited by 11 publications

(9 citation statements)

References 67 publications

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“…Later on, it has been confirmed in the full Skyrme model computation [20]. Remarkably, some Skyrme model-based EoS lead to observables which pass the current available observational data, concerning e.g., mass-radius curves, tidal deformabilities and quasiuniversal relations between the moment of inertia, Love numbers and the quadrupole moment of slowly rotating stars [21].…”

Section: Introductionmentioning

confidence: 72%

“…Our choice for these values was mainly motivated by the possibility to compare with other Skyrme model calculations, with the main objective to provide a clear discussion of the most important physical properties of quantized skyrmion crystals. The determination of the best parameter values should include the most recent NS observational data like the ones inferred from the LIGO and NICER detections, as was done, e.g., in [19], [21].…”

Section: Discussionmentioning

confidence: 99%

“…Here we defined the saturation density as the density where the energy per baryon of the skyrmion crystal takes its minimum value. Hence, the constraints on the symmetry energy yield rather stringent bounds on the value of λ 2 , where the precise numerical values of these bounds will, of course, depend on the choices made for the other model parameters f π and e. We remark that a lower bound for this constant can also be obtained from the maximum mass requirement of neutron star EoS [21].…”

Section: B the Symmetry Energymentioning

confidence: 96%

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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: 72%

Section: Discussionmentioning

confidence: 99%

Section: B the Symmetry Energymentioning

confidence: 96%

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Quantum Skyrmion crystals and the symmetry energy of dense matter

Adam¹,

Martín-Caro²,

Huidobro³

et al. 2022

Preprint

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“…The reason behind the I − Love − Q relations could be an approximate symmetry -isodensity self-similarity, which emerges as one considers stellar objects that are compact [43]. Ever since the discovery of the I − Love − Q relations for neutron stars, similar theoretical studies have been made and confirmed the existence of the universal relations for polytropic stars [44,45], WDs [46][47][48][49], quark and strange stars [50][51][52][53], and neutron stars with other kinds of realistic EOSs and extreme conditions [54][55][56][57][58][59][60].…”

Section: B the I-love-q Relationsmentioning

confidence: 90%

Dark Matter-admixed Rotating White Dwarfs as Peculiar Compact Objects

Chan¹,

Chu²,

Leung³

2021

Preprint

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We show that rotating white dwarfs admixed with dark matter have interesting properties that may be used to reveal the presence of dark matter. Even though such objects follow universal relations among the I (moment of inertia), Love (tidal Love number), and Q (quadrupole moment) that are robust with respect to different normal matter equations of state, these relations are sensitive to the dark matter fraction. Since each white dwarf may have a different dark matter fraction, the I − Love − Q relations for dark matter admixed white dwarfs span bands above those without dark matter admixture. Furthermore, the limiting mass of dark matter admixed rotating white dwarfs can be increased beyond those without any dark matter for some rotational rules. Ultramassive white dwarfs with a total mass of at least 2.6 M could be formed. The accretion-induced collapse of such an object may lead to a 2.6 M compact object, such as the one discovered in the gravitational-wave event GW190814.

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“…From all the different approaches to the study of dense nuclear matter, the Skyrme model stands as a relatively simple effective model with a low number of free parameters. Moreover, an equation of state based on this model (and its generalization) has been recently proposed in [12] and shown to yield reasonable results in predicting the properties of neutron stars such as the mass-radius relations or the quasi-universal relations between the moment of inertia, the deformability and the quadrupolar moment of slowly rotating and tidally deformed stars [13,14].…”

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confidence: 99%

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

Adam,

Martin-Caro,

Huidobro

et al. 2021

Preprint

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Skyrmion crystals are the field configurations which minimize the energy per baryon in the infinitely large topological charge sector of the Skyrme model, at least for sufficiently high density. They are, therefore, an important tool to describe the ground state of cold, symmetric nuclear matter at high density regimes. In this work, we analyze different crystalline phases and the existence of phase transitions between them within the generalized Skyrme model, making special emphasis in describing symmetric nuclear matter in a wide regime of densities. Furthermore, we propose a new energy-minimizing crystalline phase for densities lower than the nuclear saturation point (n0) which also presents a good qualitative behavior in the zero density limit, improving the predictive power of the model by allowing the description of matter with n < n0.

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Quasiuniversal relations for generalized Skyrme stars

Cited by 11 publications

References 67 publications

Quantum Skyrmion crystals and the symmetry energy of dense matter

Quantum Skyrmion crystals and the symmetry energy of dense matter

Dark Matter-admixed Rotating White Dwarfs as Peculiar Compact Objects

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

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