Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields. (arXiv:2106.03590v2 [nucl-th] UPDATED)
<a href="http://arxiv.org/find/nucl-th/1/au:+Ferreira_M/0/1/0/all/0/1">Márcio Ferreira</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Rabhi_A/0/1/0/all/0/1">Aziz Rabhi</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Providencia_C/0/1/0/all/0/1">Constança Providência</a>
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 $5times 10^{16}$ G and $5times 10 ^{17}$ 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 5times 10^{16}$ G but may still persist if a magnetic
field as high as $5times 10 ^{17}$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-homogeneous 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.
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 $5times 10^{16}$ G and $5times 10 ^{17}$ 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 5times 10^{16}$ G but may still persist if a magnetic
field as high as $5times 10 ^{17}$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-homogeneous 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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