[Submitted on 7 Mar 2023]
Empirical neutron star mass formula based on experimental observables
We derive the empirical formulae expressing the mass and gravitational redshift of a neutron star, whose central density is less than threefold the nuclear saturation density, as a function of the neutron-skin thickness or the dipole polarizability of or , especially focusing on the 8 Skyrme-type effective interactions. The neutron star mass and its gravitational redshift can be estimated within errors with our formulae, while the neutron star radius is also expected within a few errors by combining the derived formulae. Owing to the resultant empirical formulae, we find that the neutron star mass and radius are more sensitive to the neutron-skin thickness of than the dipole polarizability of or .
- Comments:
- Accepted for publication in RPC
- Subjects:
- Nuclear Theory (nucl-th); High Energy Astrophysical Phenomena (astro-ph.HE)
- arXiv:
- 2303.03631 [pdf]