Consistent relativistic mean-field models constrained by GW170817

We have obtained the Love number and corresponding tidal deformabilities $\left(\mathrm{\Lambda }\right)$ associated with the relativistic mean-field parametrizations shown to be consistent (CRMF) with the nuclear matter, pure neutron matter, symmetry energy, and its derivatives [Dutra et al., Phys. Rev. C 90, 055203 (2014)]. Our results show that CRMF models present very good agreement with the recent data from binary neutron star merger event GW170817. They also confirm the strong correlation between ${\mathrm{\Lambda }}_{1.4}$ and the radius of canonical stars $\left(R_{1.4}\right)$. When a recent GW170817 constraint on ${\mathrm{\Lambda }}_{1.4}$ and the corresponding radius $R_{1.4}$ is used, the majority of the models tested are shown to satisfy it.

Figure 1

Love number $k_2$ as a function of the compactness for the CRMF parametrizations.

Figure 2

Tidal deformability parameters for both components of the observed GW170817. The confidence lines (90% and 50%) are the recent results of LIGO and Virgo collaboration taken from Ref. [21].

Figure 3

${\mathrm{\Lambda }}_{1.4}$ as a function of $R_{1.4}$, obtained from the CRMF models. NL, DD, and DD + $\delta$ stand for nonlinear, density-dependent, and density-dependent with $\delta$ particle, respectively. Gray area: results given in Ref. [21].