scholarly journals Reexamining the relation between the binding energy of finite nuclei and the equation of state of infinite nuclear matter

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
M. C. Atkinson ◽  
W. H. Dickhoff ◽  
M. Piarulli ◽  
A. Rios ◽  
R. B. Wiringa
Keyword(s):  
Equation Of State ◽  
Binding Energy ◽  
Nuclear Matter ◽  
Finite Nuclei

scholarly journals The Equation of State for the Nucleonic and Hyperonic Core of Neutron Stars

2017 ◽  
Vol 34 ◽  
Author(s):  
Laura Tolos ◽  
Mario Centelles ◽  
Angels Ramos
Keyword(s):  
Equation Of State ◽  
Neutron Stars ◽  
Nuclear Matter ◽  
Inner Core ◽  
Heavy Ion ◽  
Saturation Properties ◽  
Ion Collisions ◽  
Pure Neutron Matter ◽  
Finite Nuclei ◽  
The Impact

AbstractWe re-examine the equation of state for the nucleonic and hyperonic inner core of neutron stars that satisfies the 2M⊙ observations as well as the recent determinations of stellar radii below 13 km, while fulfilling the saturation properties of nuclear matter and finite nuclei together with the constraints on the high-density nuclear pressure coming from heavy-ion collisions. The recent nucleonic FSU2R and hyperonic FSU2H models are updated in order to improve the behaviour of pure neutron matter at subsaturation densities. The corresponding nuclear matter properties at saturation, the symmetry energy, and its slope turn out to be compatible with recent experimental and theoretical determinations. We obtain the mass, radius, and composition of neutron stars for the two updated models and study the impact on these properties of the uncertainties in the hyperon–nucleon couplings estimated from hypernuclear data. We find that the onset of appearance of each hyperon strongly depends on the hyperon–nuclear uncertainties, whereas the maximum masses for neutron stars differ by at most 0.1M⊙, although a larger deviation should be expected tied to the lack of knowledge of the hyperon potentials at the high densities present in the centre of 2M⊙ stars. For easier use, we provide tables with the results from the FSU2R and FSU2H models for the equation of state and the neutron star mass–radius relation.

EOS OF NUCLEAR MATTER WITHIN A GENERALISED NJL MODEL

2003 ◽  
Vol 17 (28) ◽  
pp. 5209-5213 ◽  
Author(s):  
CONSTANÇA DA PROVIDÊNCIA ◽  
JOÃO DA PROVIDÊNCIA ◽  
STEVEN A. MOSZKOWSKI
Keyword(s):  
Phase Transition ◽  
Equation Of State ◽  
Binding Energy ◽  
Nuclear Matter ◽  
Chiral Symmetry ◽  
Quark Matter ◽  
Nuclear Density ◽  
Njl Model ◽  
Normal Nuclear Density ◽  
Deconfinement Phase Transition

We derive the equation of state (EOS) of nuclear matter within a generalised Nambu–Jona–Lasinio (NJL) model which saturates at normal nuclear density, ρ0. Chiral symmetry is restored at ~ 6–7 ρ0. At low densities the model includes clustering and reproduces the properties of nuclear matter namely binding energy and incompressibility. At high densities (ρ>3–4.5 ρ0) quark matter is more stable than nuclear matter. The confinement-deconfinement phase transition is studied.

Properties of Finite Nuclei and the Nuclear Matter Equation of State

2008 ◽  
Author(s):  
Shalom Shlomo ◽  
Livius Trache ◽  
Sabin Stoica
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Finite Nuclei

INSTABILITIES CONSTRAINT AND RELATIVISTIC MEAN FIELD PARAMETRIZATION

2011 ◽  
Vol 20 (01) ◽  
pp. 81-100 ◽  
Author(s):  
A. SULAKSONO ◽  
KASMUDIN ◽  
T. J. BÜRVENICH ◽  
P.-G. REINHARD ◽  
J. A. MARUHN
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Nonlinear Term ◽  
Mean Field ◽  
Saturation Point ◽  
Relativistic Mean Field ◽  
Finite Nuclei ◽  
Two Parameter ◽  
Rmf Model

Two parameter sets (Set 1 and Set 2) of the standard relativistic mean field (RMF) model plus additional vector isoscalar nonlinear term, which are constrained by a set of criteria20 determined by symmetric nuclear matter stabilities at high densities due to longitudinal and transversal particle–hole excitation modes are investigated. In the latter parameter set, δ meson and isoscalar as well as isovector tensor contributions are included. The effects in selected finite nuclei and nuclear matter properties predicted by both parameter sets are systematically studied and compared with the ones predicted by well-known RMF parameter sets. The vector isoscalar nonlinear term addition and instability constraints have reasonably good effects in the high-density properties of the isoscalar sector of nuclear matter and certain finite nuclei properties. However, even though the δ meson and isovector tensor are included, the incompatibility with the constraints from some experimental data in certain nuclear properties at saturation point and the excessive stiffness of the isovector nuclear matter equation of state at high densities as well as the incorrect isotonic trend in binding the energies of finite nuclei are still encountered. It is shown that the problem may be remedied if we introduce additional nonlinear terms not only in the isovector but also in the isoscalar vectors.

EQUATION OF STATE OF ASYMMETRIC NUCLEAR MATTER WITH GOGNY AND COULOMB INTERACTIONS

1990 ◽  
Vol 05 (14) ◽  
pp. 1071-1080 ◽  
Author(s):  
S. W. HUANG ◽  
M. Z. FU ◽  
S. S. WU ◽  
S. D. YANG
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Coulomb Interaction ◽  
Chemical Potential ◽  
Compression Modulus ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Coulomb Interactions ◽  
Asymmetric Nuclear Matter ◽  
Nucleon Nucleon Interaction

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.

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