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Given an Equation of State (EOS) for neutron star (NS) matter, there is a unique mass-radius sequence characterized by a maximum mass $M_{\rm{NS}}^{\max}$ at radius $R_{\max}$. We first show analytically that the $M_{\rm{NS}}^{\max}$ and…

Nuclear Theory · Physics 2023-07-27 Bao-Jun Cai , Bao-An Li , Zhen Zhang

Employing a recently proposed metamodeling for the nucleonic matter equation of state we analyze neutron star global properties such as masses, radii, momentum of inertia, and others. The impact of the uncertainty on empirical parameters on…

Nuclear Theory · Physics 2018-03-07 J. Margueron , R. Hoffmann Casali , F. Gulminelli

The macroscopic model is formulated for a neutron star (NS) as a perfect liquid drop at the equilibrium. We use the leptodermic approximation $a/R\ll 1$, where $a$ is the crust thickness of the effective NS surface (ES), and $R$ is the mean…

Nuclear Theory · Physics 2025-08-07 A. G. Magner , S. P. Maydanyuk , A. Bonasera , H. Zheng , T. Depastas , A. I. Levon , U. V. Grygoriev

It is shown how the Equation of State (EoS) depends on nucleon properties inside Nuclear Matter (NM). We propose to benefit from the concept of enthalpy in order to include volume corrections to the nucleon rest energy, which are…

Nuclear Theory · Physics 2017-02-28 Jacek Rożynek

Neutron stars are the dense and highly magnetic relics of supernova explosions of massive stars. The quest to constrain the Equation of State (EoS) of ultra-dense matter and thereby probe the behavior of matter inside neutron stars, is one…

High Energy Astrophysical Phenomena · Physics 2024-04-09 Alessio Marino , Clara Dehman , Konstantinos Kovlakas , Nanda Rea , Jose A. Pons , D. Viganò

We study the solution space of general relativistic, axisymmetric, equilibria of differentially rotating neutron stars with realistic, nuclear equations of state. We find that different types of stars, which were identified by earlier works…

High Energy Astrophysical Phenomena · Physics 2019-05-08 Pedro Espino , Vasileios Paschalidis

Within the framework of $f(R)=R+\alpha R^2$ gravity, we study realistic models of neutron stars, using equations of state compatible with the LIGO constraints. i.e. APR4, MPA1, SLy, and WW1. By numerically solving modified…

High Energy Astrophysical Phenomena · Physics 2020-02-26 Pasquale Feola , Xisco Jimenez Forteza , Salvatore Capozziello , Roberto Cianci , Stefano Vignolo

Using a extended version of the Quantum Hadrodynamics (QHD), I propose a new microscopic equation of state (EoS) able to correctly reproduce the main properties of symmetric nuclear matter at the saturation density, as well produce massive…

High Energy Physics - Phenomenology · Physics 2022-01-13 Luiz L. Lopes

The mass-radius relation, moment of inertia, and tidal love numbers of anisotropic neutron stars (NSs) have been investigated in $f(R,T)$ gravity by imposing two equations of state (EoS). We use the simplest form $f(R,T)=R+2\beta T$ model…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Yusmantoro Yusmantoro , Freddy Permana Zen , Muhammad Lawrence Pattersons

In this contribution nuclear constraints on the equation of state for a neutron star are discussed. A combined fit to nuclear masses and charge radii leads to improved values for the symmetry energy and its derivative at nuclear saturation…

Solar and Stellar Astrophysics · Physics 2015-06-18 A. E. L. Dieperink , C. Korpa

We apply Bayesian approach to construct a large number of minimally constrained equations of state (EOSs) and study their correlations with a few selected properties of a neutron star (NS). Our set of minimal constraints includes a few…

Nuclear Theory · Physics 2022-08-26 N. K. Patra , Sk Md Adil Imam , B. K. Agrawal , Arunava Mukherjee , Tuhin Malik

The unknown equation of state (EoS) of neutron stars (NSs) is puzzling because of rich non-perturbative effects of strong interaction there. A method to constrain the EoS by using the detected X-ray plateaus of gamma-ray bursts (GRBs) is…

High Energy Astrophysical Phenomena · Physics 2020-04-29 Shuang Du , Enping Zhou , Ren-Xin Xu

We analyze the effects of including $\Delta(1232)$ isobars in an equation of state (EoS) for cold, $\beta$-stable neutron star matter, employing relativistic nuclear mean field theory. The selected EoS reproduces the properties of nuclear…

High Energy Astrophysical Phenomena · Physics 2019-10-09 Patricia Ribes , Angels Ramos , Laura Tolos , Claudia Gonzalez-Boquera , Mario Centelles

We have conducted an extensive study using a diverse set of equations of state (EoSs) to uncover strong relationships between neutron star (NS) observables and the underlying EoS parameters using symbolic regression method. These EoS…

Nuclear Theory · Physics 2025-04-17 N. K. Patra , Tuhin Malik , Helena Pais , Kai Zhou , B. K. Agrawal , Constança Providência

The general behavior of the nuclear equation of state (EOS), relevant for the description of neutron stars (NS), is studied within a Bayesian approach applied to a set of models based on a density dependent relativistic mean field…

Nuclear Theory · Physics 2022-05-02 Tuhin Malik , Márcio Ferreira , B. K. Agrawal , Constança Providência

We contribute a publicly available set of tables and code to provide Equations of State (EoS) for matter at neutron star densities. Our EoSes are constrained only by input from hadron physics and fundamental principles, without feedback…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eva Lope Oter , Andreas Windisch , Felipe J. Llanes-Estrada , Mark Alford

Within the parameter space of equation of state (EOS) of dense neutron-rich matter limited by existing constraints mainly from terrestrial nuclear experiments, we investigate how the neutron star maximum mass $M_{\rm{max}}>2.01\pm0.04$…

Nuclear Theory · Physics 2018-05-30 Nai-Bo Zhang , Bao-An Li , Jun Xu

Simultaneous measurement of mass and radius with high precision is essential to unravel the equation of state of matter at the centre of neutron stars. Measurement of massive pulsars indicates that the equation of state has to be stiff at…

Solar and Stellar Astrophysics · Physics 2024-07-19 Asim Kumar Saha , Ritam Mallick

An equation of state (EOS) of neutron star matter, describing both the neutron star crust and the liquid core, is calculated. It is based on the effective nuclear interaction SLy of the Skyrme type, which is particularly suitable for the…

Astrophysics · Physics 2009-11-07 F. Douchin , P. Haensel

The properties of neutron stars are investigated within the relativistic central variational method by using a realistic nucleon-nucleon ($NN$) interaction. The strong repulsion of realistic $NN$ interactions at short distances is treated…

Nuclear Theory · Physics 2017-03-08 Jinniu Hu , Hong Shen , Hiroshi Toki