Neutron stars within the Skyrme model

Naya, C.

doi:10.1142/s0218301319300066

Cited by 13 publications

(19 citation statements)

References 77 publications

(90 reference statements)

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“…In particular, recent observations of gravitational waves emitted from inspiraling NS binaries seem to imply an upper bound on the maximum NS mass of about M max ∼ 2.3M [60] and a value of R ∼ 11 km for a 1.4M NS [61]. The pure L 2 + L 4 Skyrme crystal leads to a maximum NS mass of about 1.9 M and to a maximum radius of about 11 km [35], [41], therefore an appropriate combination of the standard and BPS Skyrme models should be able to naturally accommodate these most recent constraints.…”

Section: Conclusion and Discussionmentioning

confidence: 96%

“…Further attempts to describe NS used variants of the rational map approximation [33], [34] or a cubic lattice of alpha particles [35] (the ground state of the standard Skyrme model for large baryon number [36], [37], [38], [39], [40]). This last attempt, in particular, already provided a reasonably good description like, e.g., a maximal NS mass of about 1.9 solar masses (for a recent review of skyrmionic NS we refer to [41]).…”

Section: Introductionmentioning

confidence: 92%

“…Even the ground state of the model (I.1) for large baryon number, as well as possible phase transitions at different densities, are currently unknown. There exists, however, a specific submodel [13] of (I.1) which leads to a drastic simplification and, at the same time, already to a rather realistic description of NS [42], [43] (for an overview see [41], [44]). The resulting NS are still compatible with the most important observational constraints.…”

Section: Introductionmentioning

confidence: 99%

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Adding crust to BPS Skyrme neutron stars

Adam,

Sanchez-Guillen,

Vazquez

et al. 2020

Preprint

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The Skyrme model and its generalisations provide a conceptually appealing field-theory basis for the description of nuclear matter and, after its coupling to gravity, also of neutron stars. In particular, a specific Skyrme submodel, the so-called Bogomol'nyi-Prasad-Sommerfield (BPS) Skyrme model, allows both for an exact field-theoretic and a mean-field treatment of neutron stars, as a consequence of its perfect fluid property. A pure BPS Skyrme model description of neutron stars, however, only describes the neutron star core, by construction. Here we consider different possibilities to extrapolate a BPS Skyrme neutron star at high baryon density to a description valid at lower densities. In the exact field-theoretic case, a simple effective description of the neutron star crust can be used, because the exact BPS Skyrme neutron star solutions formally extend to sufficiently low densities. In the mean-field case, on the other hand, the BPS Skyrme neutron star solutions always remain above the nuclear saturation density and, therefore, must be joined to a different nuclear physics equation of state already for the outer core. We study the resulting neutron stars in both cases, facilitating an even more complete comparison between Skyrmionic neutron stars and neutron stars obtained from other approaches, as well as with observations.

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Section: Conclusion and Discussionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Adding crust to BPS Skyrme neutron stars

Adam,

Sanchez-Guillen,

Vazquez

et al. 2020

Preprint

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“…The BPS Skyrme model does yield rather high values for the maximum mass even in GR (up to ∼ 3.5M for realistic potentials), so the generalized gravity does not help in this respect. For a more complete and more reliable description of nuclear matter, however, the BPS Skyrme submodel should be combined with the standard Skyrme model, which is known to lead to a smaller value of the maximum mass [58,59]. The investigation of the full generalized Skyrme model and its resulting neutron stars in f (R) gravity is, therefore, Partially flat potential…”

Section: Discussionmentioning

confidence: 99%

BPS Skyrme neutron stars in generalized gravity

Adam,

Huidobro,

Vazquez

et al. 2020

Preprint

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We study the coupling of nuclear matter described by the BPS Skyrme model to generalized gravity. Concretely, we consider the Starobinsky model which provides the leading-order correction to the Einstein-Hilbert action. Static solutions describing neutron stars are found both for the full field theory and for the mean-field approximation. We always consider the full Starobinsky model in the nonperturbative approach, using appropriately generalized shooting methods for the numerical neutron star calculations. Many of our results are similar to previous investigations of neutron stars for the Starobinsky model using other models of nuclear matter, but there are some surprizing discrepancies. The "Newtonian mass" relevant for the surface redshift, e.g., results larger than the ADM mass in our model, in contrast to other investigations. This difference is related to the particularly high stiffness of nuclear matter described by the BPS Skyrme model and offers an interesting possibility to distinguish different models of nuclear matter within generalized gravity.

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“…For our purposes it is important to note that at high density regime (relevant for in-medium/impurities effects), the generalized Skyrme model approaches a BPS theory, known as the BPS Skyrme model [35]. This limit of the generalised Skyrme model is considered to be crucial for description of (the inner core of) neutron stars [36,37]. Hence, an obvious question arrises, whether (3+1) dimensional BPS Skyrme model can be coupled with an impurity in a self-duality preserving manner.…”

Section: Introductionmentioning

confidence: 99%