[Submitted on 6 Nov 2020] (cross-list from astro-ph.HE)
Estimating the nuclear saturation parameter via low-mass neutron star asteroseismology
We examine the fundamental (-) and the 1st pressure (-) mode frequencies in gravitational waves from cold neutron stars constructed with various unified realistic equations of state. With the calculated frequencies, we derive the empirical formulae for the - and -mode frequencies, and , as a function of the square root of the stellar average density and the parameter (), which is a combination of the nuclear saturation parameters. With our empirical formulae, we show that by simultaneously observing the - and -mode gravitational waves, when (which corresponds to neutron star models with the mass of ), one could estimate the value of within accuracy, which makes a strong constraint on the EOS for neutron star matter. In addition, we find that the maximum -mode frequency is strongly associated with the minimum radius of neutron star. That is, if one would observe a larger frequency of the -mode, one might constrain the upper limit of the minimum neutron star radius.
- Subjects:
- High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th)
- arXiv:
- 2011.03167 [pdf]