Tidal deformability of neutron stars with realistic nuclear energy density functionals

Young Min Kim, Yeunhwan Lim, Kyujin Kwak, Chang Ho Hyun, Chang Hwan Lee

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Abstract

We investigate the constraints on the mass and radius of neutron stars by considering the tidal deformability in the merge of neutron star binaries. We employ models based on the Skyrme force and density-functional theory and select models that are consistent with empirical data of finite nuclei, measured properties of nuclear matter around the saturation density, and observation of the maximum mass of neutron stars. From the selected models, we calculate the Love number k2, dimensionless tidal deformability Λ, and mass-weighted deformability ΛÌ in the binary system. We find that all the models considered in this work give ΛÌ less than 800, which is the constraint obtained from the measurement of GW170817. The results from our models show a relationship between Λ and radius (Λ∼R7.5) for a neutron star with a fixed mass of 1.4M, which is consistent with the recent statistical analyses.

Original languageEnglish
Article number065805
JournalPhysical Review C
Volume98
Issue number6
DOIs
StatePublished - 26 Dec 2018

Bibliographical note

Funding Information:
Y.M.K. and C.H.L. were partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP and MOE) (Grants No. 2015R1A2A2A01004238, No. 2016R1A5A1013277, and No. 2018R1D1A1B07048599). Y.L. was supported by National Science Foundation under Grant No. PHY1652199. K.K. was supported by NRF grant by MSIP (Grant No. 2016R1A5A1013277). C.H.H. was supported by the Basic Science Research Program through the NRF funded by the Ministry of Education (NRF-2017R1D1A1B03029020).

Publisher Copyright:
© 2018 American Physical Society.

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