Fundamental Oscillation Modes in Neutron Stars with Hyperons and Delta Baryons

Abstract

For a new parameterization of the modified effective chiral model, developed primarily to regulate the density content of the symmetry energy and its higher order terms, equations of state (EoSs) for hyperon-rich matter ($H$) and delta baryon matter ($\Delta$) were obtained. The models were used to investigate the emission of gravitational waves (GWs) through $f$-mode oscillations in the corresponding neutron stars. We obtained the stellar structure, $f$-mode frequency and tidal deformability $\Lambda$ for our models. We report that the $\Delta$ EoS is stiffer compared to the $H$ EoS. We also analyzed the velocity of sound in these media. The corresponding mass--radius relationships were obtained and compared with various observations. We studied the dependence of $f$-mode frequencies on the stellar mass, redshift and tidal deformability. We employed the well known Cowling approximation to obtain the $f$-mode frequencies for $l=2,3$ and $4$ modes of oscillation. We found that the $f$-mode frequencies of the $H$ and $\Delta$ EoSs were almost the same in the lower mass region, while we observed a substantial difference between them in the high-mass region. We also obtained an empirical relation for the EoSs considered. The various attributes obtained for our models showed close agreement with various observational constraints from pulsars and GW events.

References in corpus (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A Massive Pulsar in a Compact Relativistic Binary
• 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
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Tidal Love numbers of neutron stars
• Sound velocity bound and neutron stars
• Hyperon mixing and universal many-body repulsion in neutron stars
• Signatures of hadron-quark mixed phase in gravitational waves
• Effect of hyperons on f-mode oscillations in Neutron Stars
• GW170817 implications on the frequency and damping time of f-mode oscillations of neutron stars
• Many-body forces in the equation of state of hyperonic matter
• Accuracy of relativistic Cowling approximation in protoneutron star asteroseismology
• $\Delta$-admixed neutron stars: spinodal instabilities and dUrca processes
• On attributes of a Rotating Neutron star with a Hyperon core
• Hyperon bulk viscosity and $r$-modes of neutron stars
• A chiral symmetric relativistic mean field model with logarithmic sigma potential
• Nuclear symmetry energy with mesonic cross-couplings in the effective chiral model