GW170817 constraints analyzed with Gogny forces and momentum-dependent interactions

O Lourenço,M Bhuyan,C.H Lenzi,M Dutra,C Gonzalez-Boquera,M Centelles,X Viñas

doi:10.1016/j.physletb.2020.135306

Abstract

A set of equations of state obtained from finite-range Gogny forces and momentum-dependent interactions is used to investigate the recent observation of gravitational waves from the binary neutron star merger GW170817 event. For this set of interactions, we have calculated the neutron star tidal deformabilities (related to the second Love number), the mass-radius diagram, and the moment of inertia (I). The I-Love relation has been verified. We also have found strong correlations among the tidal deformability of the canonical neutron star, its radius, and the derivatives of the nuclear symmetry energy at the saturation density. Most of the obtained results are located within the constraints of the tidal deformabilities extracted from the GW170817 detection.

Highlights

The theoretical analysis of astronomical observations of very dense matter in the Universe has disclosed that various properties of neutron stars (NSs), such as the mass-radius relation, the moment of inertia, and the tidal deformability, are very sensitive to the properties of nuclear matter at saturation and at supra-nuclear densities
One can use the given correlations and the observational range for Λ1.4 predicted in Ref. [7] to determine compatible ranges for. By applying this procedure we find that the dimensionless tidal deformability of the canonical neutron star obtained by the LIGO/Virgo collaboration, namely, Λ1.4 = 190+−319200, can be satisfactorily described by parametrizations presenting 15 MeV ≤ L0 ≤ 88 MeV and −165 MeV ≤
Λ1.4 as a function of we show in Fig. 4 the dimensionless moment of inertia, I ≡ I/M3, calculated from the Gogny and momentum-dependent interaction (MDI) models

Summary

Introduction

The theoretical analysis of astronomical observations of very dense matter in the Universe has disclosed that various properties of neutron stars (NSs), such as the mass-radius relation, the moment of inertia, and the tidal deformability, are very sensitive to the properties of nuclear matter at saturation and at supra-nuclear densities. Many hadronic matter models have been tested and tried to constrain their outcomes with the observed tidal boost in the gravitational wave (GW) detection from the binary NS merger GW170817 [6,7,8] Among these studies, nonrelativistic models [9, 26,27,28,29], effective field theories [30, 31], and the relativistic mean-field description of nucleons interacting via meson exchange [9, 14, 24], have significantly contributed to correlate nuclear observables at saturation density with the cold nuclear matter at very high densities.

Gogny forces and MDI interactions for stellar matter

Application to the GW170817 constraints

Findings

Summary and concluding remarks