Effect of superfluid matter of neutron star on the tidal deformability. (arXiv:1908.04235v4 [gr-qc] UPDATED)

Effect of superfluid matter of neutron star on the tidal deformability. (arXiv:1908.04235v4 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Datta_S/0/1/0/all/0/1">Sayak Datta</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Char_P/0/1/0/all/0/1">Prasanta Char</a>

We study the effect of superfluidity on the tidal response of a neutron star
in a general relativistic framework. In this work, we take a dual-layer
approach where the superfluid matter is confined in the core of the star. Then,
the superfluid core is encapsulated with an envelope of ordinary matter fluid
which acts effectively as the low-density crustal region of the star. In the
core, the matter content is described by a two-fluid model where only the
neutrons are taken as superfluid and the other fluid consists of protons and
electrons making it charge neutral. We calculate the values of various tidal
love numbers of a neutron star and discuss how they are affected due to the
presence of entrainment between the two fluids in the core. We also emphasize
that more than one tidal parameter is necessary to probe superfluidity with the
gravitational wave from the binary inspiral.

We study the effect of superfluidity on the tidal response of a neutron star
in a general relativistic framework. In this work, we take a dual-layer
approach where the superfluid matter is confined in the core of the star. Then,
the superfluid core is encapsulated with an envelope of ordinary matter fluid
which acts effectively as the low-density crustal region of the star. In the
core, the matter content is described by a two-fluid model where only the
neutrons are taken as superfluid and the other fluid consists of protons and
electrons making it charge neutral. We calculate the values of various tidal
love numbers of a neutron star and discuss how they are affected due to the
presence of entrainment between the two fluids in the core. We also emphasize
that more than one tidal parameter is necessary to probe superfluidity with the
gravitational wave from the binary inspiral.

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