10th International Conference on Gravitation and Cosmology: New Horizons and Singularities in Gravity (ICGC 2023)

Direct mapping of tidal deformability to the iso-scalar and iso-vector nuclear matter parameters

Not scheduled

15m

IIT Guwahati

Poster Gravitational Waves Gravitational Waves

Speaker

GOURAB BANERJEE (SAHA INSTITUTE OF NUCLEAR PHYSICS)

Description

Matter inside a neutron star is composed of nucleons in β-equilibrium up to
2-3 times saturation density(ρ0). The equation of state(EOS) of such matter can
be expressed using iso-scalar and iso-vector nuclear matter parameters (NMPs)
which characterize the symmetric nuclear matter (SNM) and density-dependent
symmetry energy, respectively. The tidal deformation of a neutron star in a
binary system has an imprint on the gravitational wave signal and the amount
of tidal deformation depends on the equation of state which is described by the
tidal deformability parameter(Λ). In this presentation, I will discuss which of
the NMPs are most important to describe the tidal deformation of neutron stars
for a range of gravitational masses (1.2M0 - 1.8M0). We also have developed an
empirical relation for quick estimation of reliable values of tidal deformability,
in terms of the NMPs, across a wide range of NS mass for a given EoS model.
We will also show that the tidal deformability value which is determined from
our empirical relation agrees within 5-10% of its true value obtained by solving
TOV equation.