scholarly journals Equation of state for β-stable hot nuclear matter

2020 ◽  
Vol 16 ◽  
pp. 139
Author(s):  
Ch. C. Moustakidis
Keyword(s):  
High Temperature ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Chemical Equilibrium ◽  
Equilibrium Condition ◽  
Effective Interaction ◽  
High Density

We provide an equation of state for hot nuclear matter in β-equilibrium by applying a momentum-dependent effective interaction. We focus on the study of the equation of state of high-density and high-temperature nuclear matter, containing leptons (electrons and muons) under the chemical equilibrium condition in which neutrinos have left the system. Special attention is dedicated to the study of the contribution of the components of β-stable nuclear matter to the entropy per particle, a quantity of great interest for the study of structure and collapse of supernova.

scholarly journals EQUATION OF STATE FOR DENSE SUPERNOVA MATTER

2009 ◽  
Vol 18 (08) ◽  
pp. 1205-1226 ◽  
Author(s):  
C. C. MOUSTAKIDIS
Keyword(s):  
High Temperature ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Thermal Effects ◽  
Effective Interaction ◽  
Interaction Model ◽  
Decay Process ◽  
High Density ◽  
Β Decay ◽  
Charge Neutrality

We provide an equation of state for high density supernova matter by applying a momentum-dependent effective interaction. We focus on the study of the equation of state of high density and high temperature nuclear matter containing leptons (electrons and neutrinos) under the chemical equilibrium condition. The conditions of charge neutrality and equilibrium under the β-decay process lead first to the evaluation of the lepton fractions and afterward to the evaluation of internal energy, pressure, entropy and, in total to the equation of state of hot nuclear matter for various isothermal cases. Thermal effects on the properties and equation of state of nuclear matter are evaluated and analyzed in the framework of the proposed effective interaction model. Since supernova matter is characterized by a constant entropy, we also present the thermodynamic properties for the isentropic case. Special attention is devoted to the study of the contribution of the components of β-stable nuclear matter to the entropy per particle, a quantity of great interest for the study of structure and collapse of supernovas.

scholarly journals Chiral Effective Field Theory and the High-Density Nuclear Equation of State

2021 ◽  
Vol 71 (1) ◽  
Author(s):  
C. Drischler ◽  
J.W. Holt ◽  
C. Wellenhofer
Keyword(s):  
Field Theory ◽  
Equation Of State ◽  
Neutron Stars ◽  
Nuclear Matter ◽  
Effective Field Theory ◽  
Effective Field ◽  
High Density ◽  
Chiral Effective Field Theory ◽  
Nuclear Equation Of State ◽  
Density Regime

Born in the aftermath of core-collapse supernovae, neutron stars contain matter under extraordinary conditions of density and temperature that are difficult to reproduce in the laboratory. In recent years, neutron star observations have begun to yield novel insights into the nature of strongly interacting matter in the high-density regime where current theoretical models are challenged. At the same time, chiral effective field theory has developed into a powerful framework to study nuclear matter properties with quantified uncertainties in the moderate-density regime for modeling neutron stars. In this article, we review recent developments in chiral effective field theory and focus on many-body perturbation theory as a computationally efficient tool for calculating the properties of hot and dense nuclear matter. We also demonstrate how effective field theory enables statistically meaningful comparisons among nuclear theory predictions, nuclear experiments, and observational constraints on the nuclear equation of state. Expected final online publication date for the Annual Review of Nuclear and Particle Science, Volume 71 is September 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

SPEED OF SOUND IN NUCLEAR MATTER AND SKYRME EFFECTIVE INTERACTIONS

1987 ◽  
Vol 02 (02) ◽  
pp. 71-79 ◽  
Author(s):  
R.K. SU ◽  
T.T.S. KUO
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Speed Of Sound ◽  
Finite Temperature ◽  
Function Method ◽  
Effective Interaction ◽  
Similar Calculation ◽  
Effective Interactions ◽  
Nuclear Equation Of State ◽  
Temperature Green’S Function

Using a nuclear equation of state derived from a finite-temperature Green’s function method and the Skyrme effective interactions SkI, SkIII and SkM*, we have calculated the speed of sound in symmetric nuclear matter. For certain densities and temperatures, this speed is found to become super-luminous. Causal boundaries in the density-temperature plane are determined, and they indicate that SkM* is a more desirable effective interaction than SkI and SkIII. Comparison with a similar calculation by Osnes and Strottman is made.

scholarly journals EQUATION OF STATE FOR NUCLEAR MATTER BASED ON DENSITY DEPENDENT EFFECTIVE INTERACTION

2005 ◽  
Vol 14 (05) ◽  
pp. 739-749 ◽  
Author(s):  
D. N. BASU
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Energy Density ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Velocity Of Sound ◽  
Density Dependent ◽  
Nuclear Incompressibility ◽  
Unified Description ◽  
Good Agreement

An interesting method of obtaining the equation of state for nuclear matter, from a density dependent M3Y interaction, by minimizing the energy per nucleon is described. The density dependence parameters of the interaction are obtained by reproducing the saturation energy per nucleon and the saturation density of spin and isospin symmetric cold infinite nuclear matter. The nuclear matter equation of state thus obtained is then used to calculate the pressure, energy density, nuclear incompressibility and velocity of sound in nuclear medium. The results obtained are in good agreement with experimental data and provide a unified description of radioactivity, scattering and nuclear matter.

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