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Relativistic tidal properties of superfluid neutron stars

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arxiv 1806.10986 v2 pith:NG6L246C submitted 2018-06-28 gr-qc astro-ph.HEnucl-th

Relativistic tidal properties of superfluid neutron stars

classification gr-qc astro-ph.HEnucl-th
keywords fluidneutronrelativisticsuperfluidstartidalbaryonscalculate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the tidal deformability of a superfluid neutron star. We calculate the equilibrium structure in the general relativistic two-fluid formalism with entrainment effect where we take neutron superfluid as one fluid and the other fluid is comprised of protons and electrons, making it a charge neutral fluid. We use a relativistic mean field model for the equation of state of matter where the interaction between baryons is mediated by the exchange $\sigma$, $\omega$ and $\rho$ mesons. Then, we study the linear, static $l=2$ perturbation on the star to compute the electric-type Love number following Hinderer's prescription.

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