Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons

Abstract

We study the effects of hyperons, delta baryons, and quark matter phase transitions on $f$-mode oscillations in neutron stars. Using the density-dependent relativistic mean-field model (DDME2) for the hadronic phase and the density-dependent quark mass (DDQM) model for the quark phase, we construct hadronic and hybrid equations of state (EoSs) consistent with astrophysical constraints. Including hyperons and delta baryons soften the EoS, reducing maximum mass, while phase transition to the quark matter further softens the EoS, decreasing the speed of sound and hence the maximum mass. We confirm the well-known overestimation of $f$-mode frequencies by the Cowling approximation (by about 10-30\%) compared to full General Relativity calculation, and show that this discrepancy persists across models including hyperons, $\Delta$ baryons, and a phase transition to quark matter. While the discrepancy generally decreases with stellar mass, it increases near the maximum mass in the presence of a phase transition compared to EoSs without this phenomenology. We derive universal relations connecting the frequencies of the $f$-mode to the average density, compactness, and tidal deformability, finding significant deviations due to hyperons and delta baryons. These deviations could provide distinct observational signatures in gravitational wave data, offering new insights into dense matter physics and advancing gravitational wave asteroseismology of neutron star interiors. Empirical relations for mass-scaled and radius-scaled frequencies are also provided, highlighting the importance of GR calculations for accurate modeling.

20 pages, 16 figures, 7 tables

References in corpus (27)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• 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
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Sound velocity bound and neutron stars
• A NICER View of the Nearest and Brightest Millisecond Pulsar: PSR J0437$\unicode{x2013}$4715
• Hadron-quark mixed phase in hyperon stars
• Signatures of hadron-quark mixed phase in gravitational waves
• Multipolar universal relations between f-mode frequency and tidal deformability of compact stars
• The pasta phase within density dependent hadronic models
• Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential
• The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state
• Thermodynamic consistency, quark mass scaling, and properties of strange matter
• Relativistic description of dense matter equation of state and compatibility with neutron star observables: a Bayesian approach
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• Tidal deformability of neutron and hyperon star with relativistic mean field equations of state
• Delta baryons and diquark formation in the cores of neutron stars
• 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
• Search for transient gravitational wave signals associated with magnetar bursts during Advanced LIGO's second observing run
• $\Delta$-admixed neutron stars: spinodal instabilities and dUrca processes
• Surface tension of highly magnetized degenerate quark matter
• Feasibility of dark matter admixed neutron star based on recent observational constraints
• Investigating the role of nuclear parameters on oscillation modes in hot Neutron Stars

Cited by in corpus (2)

• Probing Strange Dark Matter through $f$-mode Oscillations of Neutron Stars with Hyperons and Quark Matter
• $f$-mode Oscillations for Hyperons and H-dibaryons in Neutron Stars