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Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields

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Abstract

The effect of temperature on the crust-core transition of a magnetar is studied. The thermodynamical spinodals are used to calculate the transition region within a relativistic mean-field approach for the equation of state. Magnetic fields with intensities \(5\times 10^{16}\) G and \(5\times 10 ^{17}\) G are considered. It is shown that the effect on the extension of the crust-core transition is washed away for temperatures above \(10^{9}\) K for magnetic field intensities \( \lesssim 5\times 10^{16}\) G but may still persist if a magnetic field as high as \(5\times 10 ^{17}\) G is considered. For temperatures below that value, the effect of the magnetic field on crust-core transition is noticeable and grows as the temperature decreases and, in particular, it is interesting to identify the existence of disconnected non-homogenous matter above the \(B=0\) crust core transition density. Models with different symmetry energy slopes at saturation show quite different behaviors. In particular, a model with a large slope, as suggested by the recent results of PREX-2, predicts the existence of up to four disconnected regions of non-homogeneous matter above the zero magnetic field crust-core transition density.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and all the results obtained are either numerical or analytical, hence, there is no associated data. However, the data used to make the Figures can be requested by the authors.]

Notes

  1. SGR/APX online catalogue, http://www.physics.mcgill.ca/~pulsar/magnetar/main.html.

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Acknowledgements

This work was partially supported by national funds from FCT (Fundação para a Ciência e a Tecnologia, I.P, Portugal) under the Projects No. UID/FIS/04564/2019, No. UID/04564/2020, and No. POCI-01-0145-FEDER-029912 with financial support from Science, Technology and Innovation, in its FEDER component, and by the FCT/MCTES budget through national funds (OE).

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Authors and Affiliations

  1. Department of Physics, CFisUC, University of Coimbra, 3004-516, Coimbra, Portugal

    Márcio Ferreira, Aziz Rabhi & Constança Providência

  2. University of Carthage, Avenue de la République, BP 77, 1054, Amilcar, Tunisia

    Aziz Rabhi

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  1. Márcio Ferreira
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Correspondence to Aziz Rabhi.

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Communicated by Carsten Urbach

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Ferreira, M., Rabhi, A. & Providência, C. Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields. Eur. Phys. J. A 57, 263 (2021). https://doi.org/10.1140/epja/s10050-021-00572-y

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