Skyrme models and nuclear matter equation of state

Adam, C.; Haberichter, Mareike; Wereszczyński, A.

doi:10.1103/physrevc.92.055807

Cited by 68 publications

(101 citation statements)

References 82 publications

(60 reference statements)

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“…Like all field theories, a solitonic EFT is equipped with a natural definition of pressure (the fieldtheoretic pressure; see below). As demonstrated recently in [4], this directly implies a unique definition of the thermodynamical volume (for the case of Skyrmions, see also [5,6]). It turns out that the thermodynamical volume is equal to the geometric volume, i.e., the volume of the region in space where the static energy density is different from 0 (see also Sec.…”

Section: Introductionmentioning

confidence: 99%

Volume of a vortex and the Bradlow bound

2017

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We demonstrate that the geometric volume of a soliton coincides with the thermodynamical volume also for field theories with higher-dimensional vacuum manifolds (e.g., for gauged scalar field theories supporting vortices or monopoles), generalizing the recent results of Ref. [C. Adam, M. Haberichter, and A. Wereszczynski, Phys. Lett. B 754, 18 (2016).]. We apply this observation to understand Bradlowtype bounds for general Abelian gauge theories supporting vortices, as well as some thermodynamical aspects of said theories. In the case of SDiff Bogomolny-Prasad-Sommerfield (BPS) models (being examples of perfect fluid models) we show that the base-space independent geometric volume (area) of the vortex is exactly equal to the Bradlow volume (a minimal volume for which BPS soliton solutions exist). This volume can be finite for compactons or infinite for infinitely extended solitons (in flat Minkowski space-time).

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Section: Introductionmentioning

confidence: 99%

Volume of a vortex and the Bradlow bound

2017

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“…One main problem of the standard Skyrme model is its failure to describe adequately the very small binding energies of physical nuclei. This is related to the fact that, although there exists a topological energy bound in the Skyrme model ( [1], [3], for improved bounds see [4], [5]), nontrivial solutions cannot saturate this bound. Another problem of the standard Skyrme model, which shall concern us in the present paper, is that it fails to describe simultaneously the hadronic rotationalvibrational excitations (the Roper masses) and the compression modulus of nuclear matter.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the BPS Skyrme model

et al. 2014

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One problem in the application of the Skyrme model to nuclear physics is that it predicts too large a value for the compression modulus of nuclear matter. Here we investigate the thermodynamics of the BPS Skyrme model at zero temperature and calculate its equation of state. Among other results, we find that classically (i.e. without taking into account quantum corrections) the compressibility of BPS skyrmions is, in fact, infinite, corresponding to a zero compression modulus. This suggests that the inclusion of the BPS submodel into the Skyrme model lagrangian may significantly reduce this too large value, providing further evidence for the claim that the BPS Skyrme model may play an important role in the description of nuclei and nuclear matter.

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“…42 More recently, the BPS Skyrme model of Ref. 31 has brought a perfect fluid description to the field, 43,44 in consonance with what is believed to be the state of matter in the neutron star core. On the other hand, some studies with a half-Skyrmion phase, which is relevant to dense nuclear matter and compact stars, have been presented.…”

Section: Introductionmentioning

confidence: 88%

Neutron stars within the Skyrme model

Naya

2019

Int. J. Mod. Phys. E

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The Skyrme model is a low energy effective field theory of strong interactions where nuclei and baryons appear as collective excitations of pionic degrees of freedom. In the last years, there has been a revival of Skyrme's ideas and new related models, some of them with BPS bounds (topological lower energy bounds), have been proposed. It is the aim of this paper to review how they can be applied to the study of neutron stars allowing for a description by means of topological solitons. We will focus on different aspects as the equation of state or the mass-radius relation, where we find that high maximal masses are supported.

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Skyrme models and nuclear matter equation of state

Cited by 68 publications

References 82 publications

Volume of a vortex and the Bradlow bound

Volume of a vortex and the Bradlow bound

Thermodynamics of the BPS Skyrme model

Neutron stars within the Skyrme model

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