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Gravitational Wave (GW) observations from Neutron Stars (NS) in a binarysystem provide an excellent scenario to constrain the nuclear parameters. Theinvestigation of Pratten et al. (2022) has shown that the ignorance of f-modedynamical tidal correction in the GW waveform model of the binary neutron star(BNS) system can lead to substantial bias in the measurement of NS propertiesand NS equations of state (EOS). In this work, we investigate the bias in thenuclear parameters resulting from the ignorance of dynamical tidal correction.In addition, this work demonstrates the sensitivity of the nuclear parametersand the estimated constraints on them from future GW observations. We infer thenuclear parameters from GW observations by describing the NS matter within therelativistic mean field model. For a population of GW events, we notice thatthe ignorance of dynamical tide predicts a lower median for nucleon effectivemass ($m^*$) by $\sim6\%$ compared to the scenario when dynamical tidalcorrection is considered. Whereas at a 90\% credible interval(CI), $m^*$ getsconstrained up to $\sim 5\%$ and $\sim 3\%$ in A+ (the LIGO-Virgo detectorswith a sensitivity of 5th observing run) and Cosmic Explorer (CE) respectively.We also discuss the resulting constraints on all other nuclear parameters,including compressibility, symmetry energy, and slope of symmetry energy,considering an ensemble of GW events. We do not notice any significant impactin analyzing nuclear parameters other than $m^*$ due to the ignorance of f-modedynamical tides.

Cost of inferred nuclear parameters towards the f-mode dynamical tide in binary neutron stars