Neutron stars in the Bogomol'nyi-Prasad-Sommerfield Skyrme model: Mean-field limit versus full field theory

C. Adam, C. Naya, J. Sanchez-Guillen, R. Vazquez, and A. Wereszczynski
Phys. Rev. C 92, 025802 – Published 7 August 2015

Abstract

Using a solitonic model of nuclear matter, the Bogomol'nyi-Prasad-Sommerfield (BPS) Skyrme model, we compare neutron stars obtained in the full field theory, where gravitational backreaction is completely taken into account, with calculations in a mean-field approximation using the Tolman-Oppenheimer-Volkoff approach. In the latter case, a mean-field-theory equation of state is derived from the original BPS field theory. We show that in the full field theory, where the energy density is nonconstant even at equilibrium, there is no universal and coordinate-independent equation of state of nuclear matter, in contrast to the mean-field approximation. We also study how neutron star properties are modified by going beyond mean-field theory and find that the differences between mean-field theory and exact results can be considerable. Further, we compare both exact and mean-field results with some theoretical and phenomenological constraints on neutron star properties, demonstrating thus the relevance of our model even in its most simple version.

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  • Received 22 March 2015
  • Revised 18 June 2015

DOI:https://doi.org/10.1103/PhysRevC.92.025802

©2015 American Physical Society

Authors & Affiliations

C. Adam1, C. Naya1, J. Sanchez-Guillen1, R. Vazquez1, and A. Wereszczynski2

  • 1Departamento de Física de Partículas, Universidad de Santiago de Compostela and Instituto Galego de Física de Altas Enerxias (IGFAE) E-15782 Santiago de Compostela, Spain
  • 2Institute of Physics, Jagiellonian University, Lojasiewicza 11, Kraków, Poland

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Vol. 92, Iss. 2 — August 2015

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