scholarly journals Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Jie Pu ◽  
Zhen Zhang ◽  
Lie-Wen Chen
Keyword(s):  
Nuclear Matter ◽  
Fourth Order ◽  
Symmetry Energy ◽  
Mean Field ◽  
Mean Field Models

ISOSPIN DEPENDENCE OF THE SATURATION PROPERTIES OF ASYMMETRIC NUCLEAR MATTER IN NONRELATIVISTIC MEAN FIELD MODEL

2012 ◽  
Vol 21 (09) ◽  
pp. 1250079 ◽  
Author(s):  
S. CHAKRABORTY ◽  
B. SAHOO ◽  
S. SAHOO
Keyword(s):  
Nuclear Matter ◽  
Fourth Order ◽  
Symmetry Energy ◽  
Mean Field ◽  
Saturation Density ◽  
Order Effects ◽  
Mean Field Model ◽  
Isospin Asymmetry ◽  
Asymmetric Nuclear Matter ◽  
Isospin Dependence

A phenomenological momentum dependent interaction (MDI) is considered to describe the equation of state (EOS) for isospin asymmetric nuclear matter (ANM), where the density dependence of the nuclear symmetry is the basic input. In this interaction, the symmetry energy shows soft dependence of density. Within the nonrelativistic mean field approach we calculate the nuclear matter fourth-order symmetry energy E sym, 4 (ρ). Our result shows that the value of E sym, 4 (ρ) at normal nuclear matter density ρ0( = 0.161 fm -3) is less than 1 MeV conforming the empirical parabolic approximation to the EOS of ANM at ρ0. Then the higher-order effects of the isospin asymmetry on the saturation density ρ sat (β), binding energy per nucleon K sat (β) and isobaric incompressibility K sat (β) of ANM is being studied, where [Formula: see text] is the isospin asymmetry. We have found that the fourth-order isospin asymmetry β cannot be neglected, while calculating these quantities. Hence the second-order K sat , 2 parameter basically characterizes the isospin dependence of the incompressibility of ANM at saturation density.

scholarly journals Relativistic mean-field models and nuclear matter constraints

2013 ◽  
Author(s):  
M. Dutra ◽  
O. Lourenço ◽  
B. V. Carlson ◽  
A. Delfino ◽  
D. P. Menezes ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Mean Field ◽  
Relativistic Mean Field ◽  
Mean Field Models

NEUTRON STAR MASS CORRELATION WITH SOUND VELOCITY AND INCOMPRESSIBILITY AT THE STAR CENTER IN THE POLYTROPIC APPROXIMATION

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1575-1582
Author(s):  
L. FERRARI ◽  
P. C. R. ROSSI ◽  
M. MALHEIRO
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Sound Velocity ◽  
Mean Field ◽  
Star Mass ◽  
Mean Field Models ◽  
Neutron Star Mass ◽  
Analytic Expressions ◽  
Walecka Model

In this paper we use a polytropic approximation to the equation of state for the interior of neutrons stars, described by relativistic hadronic mean field models. In this approximation, it is possible to obtain analytic expressions for the sound velocity and the incompressibility at the star center. We found a correlation between these quantities and the star mass. Using two well-known parametrizations of the nonlinear Walecka model for nuclear matter composed only of protons, neutrons and electron in β equilibrium, we obtain for a star mass of 1.43 M⊙ a central incompressibility Kc = (3000±100), around ten times the nuclear matter incompressibility, and a central sound velocity (v/c)2 ~ 0.3.

scholarly journals A Modern View of the Equation of State in Nuclear and Neutron Star Matter

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 400
Author(s):  
G. Fiorella Burgio ◽  
Hans-Josef Schulze ◽  
Isaac Vidaña ◽  
Jin-Biao Wei
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Symmetry Energy ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Nuclear Symmetry Energy ◽  
Relativistic Mean Field ◽  
Monte Carlo Techniques ◽  
Nuclear Incompressibility

Background: We analyze several constraints on the nuclear equation of state (EOS) currently available from neutron star (NS) observations and laboratory experiments and study the existence of possible correlations among properties of nuclear matter at saturation density with NS observables. Methods: We use a set of different models that include several phenomenological EOSs based on Skyrme and relativistic mean field models as well as microscopic calculations based on different many-body approaches, i.e., the (Dirac–)Brueckner–Hartree–Fock theories, Quantum Monte Carlo techniques, and the variational method. Results: We find that almost all the models considered are compatible with the laboratory constraints of the nuclear matter properties as well as with the largest NS mass observed up to now, 2.14−0.09+0.10M⊙ for the object PSR J0740+6620, and with the upper limit of the maximum mass of about 2.3–2.5M⊙ deduced from the analysis of the GW170817 NS merger event. Conclusion: Our study shows that whereas no correlation exists between the tidal deformability and the value of the nuclear symmetry energy at saturation for any value of the NS mass, very weak correlations seem to exist with the derivative of the nuclear symmetry energy and with the nuclear incompressibility.

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