Neutron star mass formula with nuclear saturation parameters
arXiv:2203.09004 · doi:10.1103/PhysRevD.105.063010
Abstract
We derive the empirical formulas for the neutron star mass and gravitational redshift as a function of the central density and specific combination of the nuclear saturation parameters, which are applicable to the stellar models constructed with the central density up to threefold nuclear saturation density. Combining the both empirical formulas, one also estimates the neutron star radius. In practice, we find that the neutron star mass (radius) can be estimated within (a few percent) accuracy by comparing the mass and radius evaluated with our empirical formulas to those determined with the specific equation of state. Since our empirical formulas directly connect the neutron star mass and radius to the nuclear saturation parameters, one can discuss the neutron star properties with the specific values of nuclear saturation parameters constrained via nuclear experiments.
References in corpus (43)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Shapiro delay measurement of a two solar mass neutron star
- A Massive Pulsar in a Compact Relativistic Binary
- PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
- A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
- Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
- A unified equation of state of dense matter and neutron star structure
- A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
- Equations of state for supernovae and compact stars
- Gravitational-wave constraints on the neutron-star-matter Equation of State
- Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
- Relativistic Equation of State of Nuclear Matter for Supernova and Neutron Star
- Towards gravitational-wave asteroseismology
- Implications of PREX-II on the equation of state of neutron-rich matter
- Constraining the Symmetry Parameters of the Nuclear Interaction
- Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
- On the Nature of the X-ray Emission from the Accreting Millisecond Pulsar SAX J1808.4-3658
- Gravitational waves and pulsating stars: What can we learn from future observations?
- Symmetry Energy I: Semi-Infinite Matter
- Determination of the parameters of a Skyrme type effective interaction using the simulated annealing approach
- Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
- Gravitational wave asteroseismology of fast rotating neutron stars with realistic equations of state
- Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces
- The symmetry energy at subnuclear densities and nuclei in neutron star crusts
- Probing the Symmetry Energy with the Spectral Pion Ratio
- Signatures of hadron-quark mixed phase in gravitational waves
- Density Discontinuity of a Neutron Star and Gravitational Waves
- Restricting quark matter models by gravitational wave observation
- Pulse Profiles from Spinning Neutron Stars in the Hartle-Thorne Approximation
- Saturation of nuclear matter and radii of unstable nuclei
- Nonradial oscillations of quark stars
- Towards real neutron star seismology: Accounting for elasticity and superfluidity
- Mass and radius formulas for low-mass neutron stars
- On the maximum mass limit of neutron stars in scalar-tensor gravity
- Low-mass neutron stars: universal relations, the nuclear symmetry energy and gravitational radiation
- Neutron star asteroseismology and nuclear saturation parameter
- Pulse profiles of highly compact pulsars in general relativity
- Gravitational wave asteroseismology for low-mass neutron stars
- Light curves from highly compact neutron stars with spot size effect
- Systematical study of pulsar light curves with special relativistic effects
- Gravitational wave asteroseismology on cooling neutron stars
- Estimating the nuclear saturation parameter via low-mass neutron star asteroseismology
- Effect of nuclear saturation parameters on possible maximum mass of neutron stars
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- New constraints on the neutron-star mass and radius relation from terrestrial nuclear experiments
- Neutron star mass formula with nuclear saturation parameters for asymmetric nuclear matter
- Studies of the equation-of-state of nuclear matter by heavy-ion collisions at intermediate energy in the multi-messenger era
- Empirical radius formulas for canonical neutron stars from bidirectionally selecting EOS features in extended Bayesian analyses of observational data
- Empirical neutron star mass formula based on experimental observables