Classically isospinning Skyrmion solutions

Battye, Richard A.; Haberichter, Mareike; Krusch, Steffen

doi:10.1103/physrevd.90.125035

Cited by 30 publications

(36 citation statements)

References 49 publications

(234 reference statements)

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“…Another interesting research direction is related to rotating neutron stars and to neutron stars in magnetic fields. In principle, both these tasks are rendered feasible by the fact that it is known how to rotate Skyrmions (for a recent discussion see, e.g., [31]) and what is the correct, QCD induced coupling of Skyrmions to the electromagnetic interaction [32]. Still, the resulting systems are no longer spherically symmetric, so a full system of PDEs has to be solved numerically in these cases.…”

Section: Discussionmentioning

confidence: 98%

BPS Skyrmions as neutron stars

et al. 2015

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The BPS Skyrme model has been demonstrated already to provide a physically intriguing and quantitatively reliable description of nuclear matter. Indeed, the model has both the symmetries and the energy-momentum tensor of a perfect fluid, and thus represents a field theoretic realization of the "liquid droplet" model of nuclear matter. In addition, the classical soliton solutions together with some obvious corrections (spin-isospin quantization, Coulomb energy, proton-neutron mass difference) provide an accurate modeling of nuclear binding energies for heavier nuclei. These results lead to the rather natural proposal to try to describe also neutron stars by the BPS Skyrme model coupled to gravity. We find that the resulting self-gravitating BPS Skyrmions provide excellent results as well as some new perspectives for the description of bulk properties of neutron stars when the parameter values of the model are extracted from nuclear physics. Specifically, the maximum possible mass of a neutron star before black-hole formation sets in is a few solar masses, the precise value depending on the precise values of the model parameters, and the resulting neutron star radius is of the order of 10 km.Comment: 15 pages, 4 figures, Latex, 2 figures added, discussion extended and improved, references added; published versio

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Section: Discussionmentioning

confidence: 98%

BPS Skyrmions as neutron stars

et al. 2015

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“…[ In this article, if not explicitly stated otherwise, the rescaled pion mass µ is set to 1. Note that the limitations of the parameter set (V.8) have been discussed previously [28][29][30] and different parameter choices have been explored in the literature, e.g. Refs.…”

Section: Numerical Results In the Charge One Sectormentioning

confidence: 99%

Skyrme models and nuclear matter equation of state

2015

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We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high and medium pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model.

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“…Instead of the rigid body quantization, one should consider the procedure carried out in Ref. [40], where the isospinning of the Skyrmion is taken into account dynamically. This may reveal the symmetry to be used for the quantization.…”

Section: Quantizationmentioning

confidence: 99%

Loosening up the Skyrme model

Gudnason

2016

Phys. Rev. D

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We consider the Skyrme model with the addition of extra scalar potentials that decrease the classical binding energies of the Skyrmions to about the 3% level -without altering the pion mass -if we insist on keeping platonic symmetries that are usually possessed by Skyrmions. A side effect of the potentials under consideration is the smaller size of the 1-Skyrmion resulting in a smaller moment of inertia and in turn a larger spin contribution to the energy upon semi-classical quantization. After taking into account the quantum contributions we find total binding energies at the 6% level. * bjarke(at)impcas.ac.cn 1 arXiv:1601.05024v2 [hep-th]

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Classically isospinning Skyrmion solutions

Cited by 30 publications

References 49 publications

BPS Skyrmions as neutron stars

BPS Skyrmions as neutron stars

Skyrme models and nuclear matter equation of state

Loosening up the Skyrme model

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