Establishing connection between neutron star properties and nuclear matter parameters through a comprehensive multivariate analysis

Abstract

We have attempted to mitigate the challenge of connecting the neutron star (NS) properties with the nuclear matter parameters that describe equations of state (EoSs). The efforts to correlate various neutron star properties with individual nuclear matter parameters have been inconclusive. A Principal Component Analysis is employed as a tool to uncover the connection between multiple nuclear matter parameters and the tidal deformability as well as the radius of neutron stars within the mass range of $1.2-1.8M_{\odot }$. The essential EOSs for neutron star matter at low densities have been derived using both uncorrelated uniform distributions and minimally constrained joint posterior distributions of nuclear matter parameters. For higher densities ($\rho >0.32$fm${}^{-3}$), the EOSs have been established through a suitable parameterization of the speed of sound, which consistently maintains causality and gradually approaches the conformal limit. Our analysis reveals that in order to account for over 90\% of the variability in NS properties, it is crucial to consider two or more principal components, emphasizing the significance of employing multivariate analysis. To explain the variability in tidal deformability needs a greater number of principal components compared to those for the radius at a given NS mass. The contributions from iso-vector nuclear matter parameters to the tidal deformability and radius of NS decrease by $\sim$ 25\% with the increase in mass of NS from 1.2$M_{\odot }$ to 1.8$M_{\odot }$.

12 Pages, 7 Figures and 2 Tables (Accepted in Physical Review D)

References in corpus (18)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• A Massive Pulsar in a Compact Relativistic Binary
• Advanced LIGO
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• 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
• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Strong correlations of neutron star radii with the slopes of nuclear matter incompressibility and symmetry energy at saturation
• Impact of the neutron star crust on the tidal polarizability
• Constraints on the symmetry energy from observational probes of the neutron star crust
• Systematic analysis of the impacts of symmetry energy parameters on neutron star properties
• Effect of the $\sigma$-cut potential on the properties of neutron stars with or without a hyperonic core
• Principal component analysis within nuclear structure
• Estimation of initial state structures in high energy heavy-ion collisions using Principal Component Analysis (PCA)

Cited by in corpus (4)

• Implications of comprehensive nuclear and astrophysics data on the equations of state of neutron star matter
• Inferring the Equation of State from Neutron Star Observables via Machine Learning
• Unraveling the global behavior of equation of state by explicit finite nuclei constraints
• Bayesian Analysis of the Neutron Star Equation of State and Model Comparison: Insights from PSR J0437+4715, PSR J0614+3329, and Other Multi-Physics Data