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GW170817 implications on the frequency and damping time of $$f$$-mode oscillations of neutron stars

Journal Article · · Physical Review C
Within a minimum model for neutron stars consisting of nucleons, electrons, and muons at $$β$$ equilibrium using about a dozen equations of state (EOS) from microscopic nuclear many-body theories and 40000 EOSs randomly generated using an explicitly isospin-dependent parametric EOS model for high-density neutron-rich nucleonic matter within its currently known uncertainty range, we study correlations among the $$f$$-mode frequency, its damping time and the tidal deformability as well as the compactness of neutron stars. Except for quark stars, both the $$f$$-mode frequency and damping time of canonical neutron stars are found to scale with the tidal deformability independent of the EOSs used. Applying the constraint on the tidal deformability of canonical neutron stars $$Λ_{1.4} = 190^{+390}_{-120}$$ extracted by the LIGO+VIRGO Collaborations from their improved analyses of the GW170817 event, the $$f$$-mode frequency and its damping time of canonical neutron stars are limited to 1.67–2.18 kHz and 0.155–0.255 s, respectively, providing a useful guidance for the ongoing search for gravitational waves from the $$f$$-mode oscillations of isolated neutron stars. Finally, assuming either or both the $$f$$-mode frequency and its damping time will be measured precisely in future observations with advanced gravitational wave detectors, we discuss how information about the mass and/or radius as well as the still rather elusive nuclear symmetry energies at suprasaturation densities may be extracted.
Research Organization:
Texas A & M Univ., Commerce, TX (United States)
Sponsoring Organization:
National Natural Science Foundation of China (NNSFC); USDOE; USDOE Office of Science (SC); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0009971; SC0013702
OSTI ID:
1611284
Alternate ID(s):
OSTI ID: 1509928
OSTI ID: 1658239
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 99; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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